def map_func1(coords):
tform2 = transform.SimilarityTransform(scale=1. / 257.,
rotation=0,
translation=(-0.99, -0.99))
return tform.inverse(np.arctanh(tform2(coords)))
margins = dict(hspace=0.01, wspace=0.01, top=1, bottom=0, left=0, right=1)
"""
Basics
======
Several different geometric transformation types are supported: similarity,
affine, projective and polynomial.
Geometric transformations can either be created using the explicit parameters
(e.g. scale, shear, rotation and translation) or the transformation matrix:
First we create a transformation using explicit parameters:
"""
tform = tf.SimilarityTransform(scale=1,
rotation=math.pi / 2,
translation=(0, 1))
print tform._matrix
"""
Alternatively you can define a transformation by the transformation matrix
itself:
"""
matrix = tform._matrix.copy()
matrix[1, 2] = 2
tform2 = tf.SimilarityTransform(matrix)
"""
These transformation objects can then be used to apply forward and inverse
coordinate transformations between the source and destination coordinate
systems:
"""
def imtranslate(im,tx,ty): # tx: columns, ty: rows
tform = trfm.SimilarityTransform(translation = (-tx,-ty))
return trfm.warp(im,tform,mode='constant')
def trans(img: object = None, xaxis: int = 0, yaxis: int = 0):
return transform.warp(
img, transform.SimilarityTransform(translation=(-1 * xaxis, yaxis)))
def preprocess(img, bbox=None, landmark=None, **kwargs):
#print(bbox)
#print(landmark)
if isinstance(img, str):
img = read_image(img, **kwargs)
M = None
image_size = []
str_image_size = kwargs.get('image_size', '')
if len(str_image_size) > 0:
image_size = [int(x) for x in str_image_size.split(',')]
if len(image_size) == 1:
image_size = [image_size[0], image_size[0]]
assert len(image_size) == 2
assert image_size[0] == 112
assert image_size[0] == 112 or image_size[1] == 96
if landmark is not None:
assert len(image_size) == 2
src = np.array(
[[30.2946, 51.6963], [65.5318, 51.5014], [48.0252, 71.7366],
[33.5493, 92.3655], [62.7299, 92.2041]],
dtype=np.float32)
if image_size[1] == 112:
src[:, 0] += 8.0
dst = landmark.astype(np.float32)
tform = trans.SimilarityTransform()
tform.estimate(dst, src)
M = tform.params[0:2, :]
#M = cv2.estimateRigidTransform( dst.reshape(1,5,2), src.reshape(1,5,2), False)
if M is None:
if bbox is None: #use center crop
det = np.zeros(4, dtype=np.int32)
det[0] = int(img.shape[1] * 0.0625)
det[1] = int(img.shape[0] * 0.0625)
det[2] = img.shape[1] - det[0]
det[3] = img.shape[0] - det[1]
else:
det = bbox
margin = kwargs.get('margin', 44)
bb = np.zeros(4, dtype=np.int32)
bb[0] = np.maximum(det[0] - margin / 2, 0)
bb[1] = np.maximum(det[1] - margin / 2, 0)
bb[2] = np.minimum(det[2] + margin / 2, img.shape[1])
bb[3] = np.minimum(det[3] + margin / 2, img.shape[0])
ret = img[bb[1]:bb[3], bb[0]:bb[2], :]
if len(image_size) > 0:
ret = cv2.resize(ret, (image_size[1], image_size[0]))
return ret
else: #do align using landmark
assert len(image_size) == 2
#src = src[0:3,:]
#dst = dst[0:3,:]
#print(src.shape, dst.shape)
#print(src)
#print(dst)
#print(M)
warped = cv2.warpAffine(img,
M, (image_size[1], image_size[0]),
borderValue=0.0)
#tform3 = trans.ProjectiveTransform()
#tform3.estimate(src, dst)
#warped = trans.warp(img, tform3, output_shape=_shape)
return warped
def cp2tform_v2(base, proj):
tform = trans.SimilarityTransform()
tform.estimate(base, proj)
return tform.params.T, inv(tform.params.T)
def onechannel(indir, outdir, firstfits='', x0=0, x1=-1, y0=0, y1=-1, every=1, skip=1, xoffset=0,
yoffset=0, sigma=20, threshold='0.', kr=0., biascorrect=0, interpolate=0, verbose=0):
print('Single-channel coalignment.')
absflag=0; filterflag=1; marg = 0.2 # Margins of the calculated shifts that are excluded.
if indir[-1] != '/': indir += '/'
if outdir[-1] != '/': outdir += '/'
filin = glob(indir+"*.f*ts")
if len(filin) == 0:
print(f"The input folder{indir} is empty!")
return -1
filin.sort()
ind0 = 0
if firstfits == '':
firstfits = filin[0]
ind0 = 0
else:
if filin.count(firstfits):
ind0 = filin.index(firstfits)
else:
fname0 = os.path.basename(firstfits)
for i in range(len(filin)):
if os.path.basename(filin[i]) == fname0:
ind0 = i
break
if ind0 != i:
print("The first fits file should have the same name as one of the files in input folder!")
return -1
xoffset = xoffset % skip; yoffset = yoffset % skip
if threshold[-1] == 'a':
absflag = 1;
threshold = float(threshold[0:-1])
else:
threshold = float(threshold)
if kr <= 0. or kr > 20.:
print("Nonsense value of kr, = {}".format(kr))
return -1
sigma = ct.c_double(sigma);
thresh = ct.c_double(threshold);
kr = ct.c_double(kr);
# Notice that for 2-D array in python and C languages, the 1st dimension is indicated by y and the 2nd by x.
# It is consistent with images.
# But in flcasubs.c, the 1st dimension is marked with x and 2nd with y, following FLCT.
ny = y1-y0
nx = x1-x0
nys = int(np.ceil((ny-yoffset)/skip)) # dimensions for the results
nxs = int(np.ceil((nx-xoffset)/skip))
indx0 = int(nxs*marg); indx1 = int(np.ceil(nxs-indx0)); indy0 = int(nys*marg); indy1 = int(np.ceil(nys-indy0))
ArrayType = ct.c_double*(nx*ny)
f1ct = ArrayType();
f2ct = ArrayType();
print("{} files will be coaligned".format(len(filin)))
sxarr = np.zeros(len(filin)); syarr = np.zeros(len(filin))
sxarr[ind0] = 0; syarr[ind0] = 0;
if ind0 > 0:
kk = 0 # whether change the reference fits file, correspondes to every
data0, hdr = readfits(firstfits)
referf = firstfits
shiftx0 = 0; shifty0 = 0
for ii in range(ind0, 0, -1):
print(f"{ii-1}", end="\r")
data, hdr = readfits(filin[ii-1])
tform = transform.SimilarityTransform(translation=(shiftx0,shifty0))
data1 = transform.warp(data, tform, order=interpolate)
f1 = data0[y0:y1, x0:x1]
f2 = data1[y0:y1, x0:x1]
# tate care, all the normal data are assumed to be larger than 0
f1[np.logical_or(np.isnan(f1), np.isnan(f2))] = threshold-10
f2[np.logical_or(np.isnan(f1), np.isnan(f2))] = threshold-10
#f1 = detrend(f1)
#f2 = detrend(f2)
for i in range(ny):
for j in range(nx):
f1ct[i*nx+j] = f1[i,j]
f2ct[i*nx+j] = f2[i,j]
vxct = ArrayType()
vyct = ArrayType()
vmct = ArrayType()
# The 1st dimension is y and the 2nd is x.
tmp = flcas.flca(f1ct, f2ct, ny, nx, sigma, vyct, vxct, vmct, thresh, absflag,
filterflag, kr, skip, yoffset, xoffset, biascorrect, verbose)
# reshape and select
vx = np.array(vxct).reshape([ny, nx])
vy = np.array(vyct).reshape([ny, nx])
vm = np.array(vmct).reshape([ny, nx]);
vx = vx[yoffset::skip, xoffset::skip]
vy = vy[yoffset::skip, xoffset::skip]
vm = vm[yoffset::skip, xoffset::skip];
vx = vx[indy0:indy1, indx0:indx1]
vy = vy[indy0:indy1, indx0:indx1]
vm = vm[indy0:indy1, indx0:indx1];
vm[np.logical_or(np.isnan(vx), np.isnan(vy))] = 0
shiftx = np.median(vx[vm == 1.])
shifty = np.median(vy[vm == 1.])
if shiftx == np.nan or shifty == np.nan:
print("Shift X or shift Y is Nan, return.")
return -1
shiftx0 = shiftx+shiftx0; shifty0 = shifty+shifty0
if interpolate == 0:
shiftx0 = round(shiftx0); shifty0 = round(shifty0)
tform = transform.SimilarityTransform(translation=(shiftx0,shifty0))
data = transform.warp(data, tform, order=interpolate)
# order = 0: Nearest-neighbor; order = 1: Bi-linear (default). Other choices are not included.
fname0 = os.path.basename(filin[ii-1])
fits.writeto(outdir+fname0, data, hdr, output_verify='fix', overwrite=True, checksum=False)
sxarr[ii-1] = shiftx0; syarr[ii-1] = shifty0
kk = kk+1
if kk % every == 0:
data0 = data.copy()
referf = filin[ii-1]
data0, hdr = readfits(firstfits)
fname0 = os.path.basename(firstfits)
referf = firstfits
# copy the first fits file to the output folder.
fits.writeto(outdir+fname0, data0, hdr, output_verify='fix', overwrite=True, checksum=False)
if ind0 < len(filin)-1:
kk = 0 # whether change the reference fits file, correspondes to every
shiftx0 = 0; shifty0 = 0
for ii in range(ind0+1, len(filin)):
#print("{} {} {}".format(ii, os.path.basename(filin[ii]), os.path.basename(referf)), end="\n")
print(f"{ii}", end="\r")
data, hdr = readfits(filin[ii])
tform = transform.SimilarityTransform(translation=(shiftx0,shifty0))
data1 = transform.warp(data, tform, order=interpolate)
f1 = data0[y0:y1, x0:x1]
f2 = data1[y0:y1, x0:x1]
# tate care, all the normal data are assumed to be larger than 0
f1[np.logical_or(np.isnan(f1), np.isnan(f2))] = threshold-10
f2[np.logical_or(np.isnan(f1), np.isnan(f2))] = threshold-10
#f1 = detrend(f1)
#f2 = detrend(f2)
for i in range(ny):
for j in range(nx):
f1ct[i*nx+j] = f1[i,j]
f2ct[i*nx+j] = f2[i,j]
vxct = ArrayType()
vyct = ArrayType()
vmct = ArrayType()
# The 1st dimension is y and the 2nd is x.
tmp = flcas.flca(f1ct, f2ct, ny, nx, sigma, vyct, vxct, vmct, thresh, absflag,
filterflag, kr, skip, yoffset, xoffset, biascorrect, verbose)
# reshape and select
vx = np.array(vxct).reshape([ny, nx])
vy = np.array(vyct).reshape([ny, nx])
vm = np.array(vmct).reshape([ny, nx]);
vx = vx[yoffset::skip, xoffset::skip]
vy = vy[yoffset::skip, xoffset::skip]
vm = vm[yoffset::skip, xoffset::skip];
vx = vx[indy0:indy1, indx0:indx1]
vy = vy[indy0:indy1, indx0:indx1]
vm = vm[indy0:indy1, indx0:indx1];
vm[np.logical_or(np.isnan(vx), np.isnan(vy))] = 0
shiftx = np.median(vx[vm == 1.])
shifty = np.median(vy[vm == 1.])
if shiftx == np.nan or shifty == np.nan:
print("Shift X or shift Y is Nan, return.")
return -1
shiftx0 = shiftx+shiftx0; shifty0 = shifty+shifty0
if interpolate == 0:
shiftx0 = round(shiftx0); shifty0 = round(shifty0)
tform = transform.SimilarityTransform(translation=(shiftx0,shifty0))
data = transform.warp(data, tform, order=interpolate)
# order = 0: Nearest-neighbor; order = 1: Bi-linear (default).
# Other choices are not included.
fname0 = os.path.basename(filin[ii])
fits.writeto(outdir+fname0, data, hdr, output_verify='fix', overwrite=True, checksum=False)
sxarr[ii] = shiftx0; syarr[ii] = shifty0
kk = kk+1
if kk % every == 0:
data0 = data.copy()
#referf = filin[ii]
np.savez_compressed('shiftxy.npz', sx=sxarr, sy=syarr)
return 0
def main(args):
output_dir = os.path.expanduser(args.output_dir)
if not os.path.exists(output_dir):
os.makedirs(output_dir)
data_dir = os.path.expanduser(args.input_dir)
multiFacesRF = open(os.path.join(output_dir, 'multi_record.txt'), 'w')
forceFacesRF = open(os.path.join(output_dir, 'force_record.txt'), 'w')
listFile = open(args.list_file, 'r')
imgNames = [i.strip() for i in listFile.readlines()]
print('Creating networks and loading parameters')
detector = RetinaFace('R50', 0, 0, 'net3')
# configuration for alignment
threshold = 0.8 # retinaface threshold
#image_size = [112,96]
image_size = [112, 112]
src = np.array([[30.2946, 51.6963], [65.5318, 51.5014], [48.0252, 71.7366],
[33.5493, 92.3655], [62.7299, 92.2041]],
dtype=np.float32)
if image_size[1] == 112:
src[:, 0] += 8.0
rotateAngles = [-15, 15, -30, 30, -45, 45]
for imgName in tqdm(imgNames):
imgName = imgName + '.jpg'
srcImgPath = os.path.join(data_dir, imgName)
outImgPath = os.path.join(output_dir, imgName)
try:
img = cv2.imread(srcImgPath)
if img is None:
print("Path is error! ", srcImgPath)
continue
except:
print("Something is error! ", srcImgPath)
else:
rotateImgs = [imutils.rotate(img, x) for x in rotateAngles]
newFlag = True
for img in rotateImgs:
# fixed to 640*640 by padding
maxSize = max(img.shape[0], img.shape[1])
padTop = 0
padBottom = 0
padLeft = 0
padRight = 0
if img.shape[0] < maxSize:
rowDiff = maxSize - img.shape[0]
padTop = rowDiff // 2
padBottom = rowDiff - padTop
if img.shape[1] < maxSize:
colDiff = maxSize - img.shape[1]
padLeft = colDiff // 2
padRight = colDiff - padLeft
img = cv2.copyMakeBorder(img,
padTop,
padBottom,
padLeft,
padRight,
cv2.BORDER_CONSTANT,
value=[0, 0, 0])
fixedSizes = [80, 160, 320, 480, 640, 800, 960]
aligned_imgs = []
for fixedSize in fixedSizes:
scale = float(fixedSize) / float(maxSize)
bounding_boxes, points = detector.detect(img,
threshold,
scales=[scale])
nrof_faces = bounding_boxes.shape[0]
det = bounding_boxes[:, 0:4]
scores = bounding_boxes[:, 4]
img_size = np.asarray(img.shape)[0:2]
#print(c)
if (nrof_faces > 0):
if nrof_faces > 1:
bounding_box_size = (det[:, 2] - det[:, 0]) * (
det[:, 3] - det[:, 1])
img_center = img_size / 2
offsets = np.vstack([
(det[:, 0] + det[:, 2]) / 2 - img_center[1],
(det[:, 1] + det[:, 3]) / 2 - img_center[0]
])
offset_dist_squared = np.sum(
np.power(offsets, 2.0), 0)
index = np.argmax(
bounding_box_size - offset_dist_squared *
2.0) # some extra weight on the centering
bb = np.squeeze(det[index])
bb[0] = max(0, bb[0])
bb[1] = max(0, bb[1])
bb[2] = min(bb[2], img_size[1])
bb[3] = min(bb[3], img_size[0])
if ((bb[0] >= img_size[1])
or (bb[1] >= img_size[0])
or (bb[2] > img_size[1])
or (bb[3] > img_size[0])):
print('Unable to align "%s", bbox error' %
image_path)
continue
h = bb[3] - bb[1]
w = bb[2] - bb[0]
x = bb[0]
y = bb[1]
_w = int(
(float(h) / image_size[0]) * image_size[1])
x += (w - _w) // 2
#x = min( max(0,x), img.shape[1] )
x = max(0, x)
xw = x + _w
xw = min(xw, img.shape[1])
roi = np.array((x, y, xw, y + h), dtype=np.int32)
faceImg = img[roi[1]:roi[3], roi[0]:roi[2], :]
dst = points[index, :]
tform = trans.SimilarityTransform()
tform.estimate(dst, src)
M = tform.params[0:2, :]
warped = cv2.warpAffine(
img,
M, (image_size[1], image_size[0]),
borderValue=0.0)
#M = tform.params
#warped = cv2.warpPerspective(img,M,(image_size[1],image_size[0]), borderValue = 0.0)
if (warped is None) or (np.sum(warped) == 0):
warped = faceImg
warped = cv2.resize(
warped, (image_size[1], image_size[0]))
aligned_imgs.append(warped)
multiFacesRF.write(imgName.split('.')[0] + '\n')
break
else:
bb = np.squeeze(det[0])
bb[0] = max(0, bb[0])
bb[1] = max(0, bb[1])
bb[2] = min(bb[2], img_size[1])
bb[3] = min(bb[3], img_size[0])
if ((bb[0] >= img_size[1])
or (bb[1] >= img_size[0])
or (bb[2] > img_size[1])
or (bb[3] > img_size[0])):
continue
h = bb[3] - bb[1]
w = bb[2] - bb[0]
x = bb[0]
y = bb[1]
_w = int(
(float(h) / image_size[0]) * image_size[1])
x += (w - _w) // 2
#x = min( max(0,x), img.shape[1] )
x = max(0, x)
xw = x + _w
xw = min(xw, img.shape[1])
roi = np.array((x, y, xw, y + h), dtype=np.int32)
faceImg = img[roi[1]:roi[3], roi[0]:roi[2], :]
dst = points[0, :]
tform = trans.SimilarityTransform()
tform.estimate(dst, src)
M = tform.params[0:2, :]
warped = cv2.warpAffine(
img,
M, (image_size[1], image_size[0]),
borderValue=0.0)
#M = tform.params
#warped = cv2.warpPerspective(img,M,(image_size[1],image_size[0]), borderValue = 0.0)
if (warped is None) or (np.sum(warped) == 0):
warped = faceImg
warped = cv2.resize(
warped, (image_size[1], image_size[0]))
aligned_imgs.append(warped)
break
if len(aligned_imgs) > 0:
cv2.imwrite(outImgPath, aligned_imgs[0])
break
else:
if newFlag:
forceFacesRF.write(imgName.split('.')[0] + '\n')
newFlag = False
multiFacesRF.close()
forceFacesRF.close()
def faceboxes_process(fd_net, o_net, landmark_net, img):
img_width = img.shape[1]
img_height = img.shape[0]
im = img.copy()
im = im.astype(np.float32)
im[:, :, 0] = im[:, :, 0] - 104.0
im[:, :, 1] = im[:, :, 1] - 117.0
im[:, :, 2] = im[:, :, 2] - 123.0
transformed_image = im.swapaxes(1, 2).swapaxes(0, 1)
fd_net.blobs['data'].reshape(1, 3, img_height, img_width)
fd_net.blobs['data'].data[...] = transformed_image
fd_net.forward()
detections = fd_net.get_blob('detection_out').data
print(detections)
# print(detections)
bounding_boxes = detections[0, 0, :, 3:7] * np.array(
[img_width, img_height, img_width, img_height])
conf = detections[0, 0, :, 2] # 计算出的置信度，在计算熵的时候会用到
nrof_faces = bounding_boxes.shape[0]
#print(nrof_faces)
print(nrof_faces)
crop_img_list = []
for i in range(nrof_faces):
if (conf[i] > 0.5):
xmin = bounding_boxes[i][0]
ymin = bounding_boxes[i][1]
xmax = bounding_boxes[i][2]
ymax = bounding_boxes[i][3]
box_w = xmax - xmin
box_h = ymax - ymin
box_side = max(box_w, box_h)
xmin += box_w * 0.5 - box_side * 0.5
ymin += box_h * 0.5 - box_side * 0.5
xmax = xmin + box_side
ymax = ymin + box_side
box = np.array([
max(xmin, 0),
max(ymin, 0),
min(xmax, img_width),
min(ymax, img_height)
])
box = box.astype(np.int32)
img_ = img.copy()
crop_img = img_[box[1]:box[3], box[0]:box[2]]
landmark_img = crop_img.copy()
test_img = img_[box[1] - 20:box[3] + 20, box[0] - 20:box[2] + 20]
image_hist(test_img) # 绘制人脸的直方图
cv2.imshow(test_img)
cv2.waitKey(1)
# 在这里画出添加一个区分背景和前景的,论文中使用掩模的方法
# 这里裁剪的图像的大小是多少呢？
test_mask_hist(test_img)
# 画出人脸的点
src_lmarks = forward_lnet106(img,
landmark_net,
box,
is_minicaffe=True)
for j in range(3, 30):
cv2.circle(img, (src_lmarks[2 * j], src_lmarks[2 * j + 1]), 2,
(0, 0, 255), -1)
cv2.imshow('landmark', img)
# cv2.waitKey(0)
image_hist(test_img)
# cv2.imwrite("onet_result_"+ str(i) +".jpg", crop_img)
cv2.imwrite("onet_result_" + str(i) + ".jpg", crop_img)
# crop_img = cv2.cvtColor(crop_img, cv2.COLOR_BGR2RGB) # 这里没有转灰度图像
crop_img = cv2.cvtColor(crop_img, cv2.COLOR_BGR2GRAY) # 这里转为灰度图像
crop_img = (crop_img - 127.5) / 128 # 归一化
scale_img = cv2.resize(crop_img, (48, 48))
scale_img = np.swapaxes(scale_img, 0, 2) # hwc chw
o_net.blobs['data'].data[...] = scale_img
out = o_net.forward()
# src_lmarks = out['conv6-3']
src_lmarks = o_net.get_blob('conv6-3').data # 获取某一层的数据
src_lmarks = src_lmarks.reshape(2, 5).T
for j in range(5):
cv2.circle(landmark_img,
(int(src_lmarks[j][0] * landmark_img.shape[1]),
int(src_lmarks[j][1] * landmark_img.shape[0])), 2,
(0, 0, 255), -1)
src_lmarks[j][
0] = src_lmarks[j][0] * landmark_img.shape[1] + box[0]
src_lmarks[j][
1] = src_lmarks[j][1] * landmark_img.shape[0] + box[1]
tform = trans.SimilarityTransform() # 这是相似转换？
tform.estimate(src_lmarks, dst_lmarks)
M = tform.params[0:2, :]
crop_img = cv2.warpAffine(img, M, (112, 112))
delt_w = (src_lmarks[1][0] - src_lmarks[0][0]) / 4
delt_h = (src_lmarks[3][1] - src_lmarks[0][1]) / 4
if src_lmarks[2][0] > src_lmarks[1][0] - delt_w or \
src_lmarks[2][0] < src_lmarks[0][0] + delt_w or \
src_lmarks[2][1] > src_lmarks[3][1] - delt_h or \
src_lmarks[2][1] < src_lmarks[0][1] + delt_h:
continue
else:
for j in range(5):
cv2.circle(img,
(int(src_lmarks[j][0]), int(src_lmarks[j][1])),
2, (0, 0, 255), -1)
cv2.ellipse(img, (int((src_lmarks[0][0] + src_lmarks[1][0]) / 2), src_lmarks[2][1]), \
(int((box[2] - box[0])/2.2), int((box[3] - box[1])/2)), 0, 0, 360, (255, 255, 255), 1)
cv2.imshow("landmark", crop_img)
cv2.imwrite("onet_result_" + str(i) + ".jpg", crop_img)
print(crop_img.shape)
crop_img_list.append(crop_img)
cv2.rectangle(img, (box[0], box[1]), (box[2], box[3]), (0, 255, 0),
5)
bboxes = box
return crop_img_list, box
# Compose transforms by multiplying their matrices
matrix = np.linalg.inv(shift.params) @ rotation.params @ shift.params
tform = transform.EuclideanTransform(matrix)
tf_img = transform.warp(img, tform.inverse)
fig, ax = plt.subplots()
_ = ax.imshow(tf_img)
######################################################################
# Similarity transformation
# =================================
#
# A `similarity transformation <https://en.wikipedia.org/wiki/Similarity_(geometry)>`_
# preserves the shape of objects. It combines scaling, translation and rotation.
tform = transform.SimilarityTransform(scale=0.5,
rotation=np.pi / 12,
translation=(100, 50))
print(tform.params)
tf_img = transform.warp(img, tform.inverse)
fig, ax = plt.subplots()
ax.imshow(tf_img)
_ = ax.set_title('Similarity transformation')
######################################################################
# Affine transformation
# =================================
#
# An `affine transformation <https://en.wikipedia.org/wiki/Affine_transformation>`_
# preserves lines (hence the alignment of objects), as well as parallelism
# between lines. It can be decomposed into a similarity transform and a
# `shear transformation <https://en.wikipedia.org/wiki/Shear_mapping>`_.
def main(args):
output_dir = os.path.expanduser(args.output_dir)
if not os.path.exists(output_dir):
os.makedirs(output_dir)
# Store some git revision info in a text file in the log directory
src_path,_ = os.path.split(os.path.realpath(__file__))
#facenet.store_revision_info(src_path, output_dir, ' '.join(sys.argv))
dataset = face_image.get_dataset(args.name, args.input_dir)
print('dataset size', args.name, len(dataset))
print('Creating networks and loading parameters')
with tf.Graph().as_default():
#gpu_options = tf.GPUOptions(per_process_gpu_memory_fraction=args.gpu_memory_fraction)
#sess = tf.Session(config=tf.ConfigProto(gpu_options=gpu_options, log_device_placement=False))
sess = tf.Session()
with sess.as_default():
pnet, rnet, onet = detect_face.create_mtcnn(sess, None)
minsize = 100 # minimum size of face
threshold = [ 0.6, 0.7, 0.7 ] # three steps's threshold
factor = 0.709 # scale factor
#image_size = [112,96]
image_size = [112,112]
src = np.array([
[30.2946, 51.6963],
[65.5318, 51.5014],
[48.0252, 71.7366],
[33.5493, 92.3655],
[62.7299, 92.2041] ], dtype=np.float32 )
if image_size[1]==112:
src[:,0] += 8.0
# Add a random key to the filename to allow alignment using multiple processes
#random_key = np.random.randint(0, high=99999)
#bounding_boxes_filename = os.path.join(output_dir, 'bounding_boxes_%05d.txt' % random_key)
#output_filename = os.path.join(output_dir, 'faceinsight_align_%s.lst' % args.name)
if not os.path.exists(args.output_dir):
os.makedirs(args.output_dir)
output_filename = os.path.join(args.output_dir, 'lst')
with open(output_filename, "w") as text_file:
nrof_images_total = 0
nrof = np.zeros( (5,), dtype=np.int32)
for fimage in dataset:
if nrof_images_total%100==0:
print("Processing %d, (%s)" % (nrof_images_total, nrof))
nrof_images_total += 1
#if nrof_images_total<950000:
# continue
image_path = fimage.image_path
if not os.path.exists(image_path):
print('image not found (%s)'%image_path)
continue
filename = os.path.splitext(os.path.split(image_path)[1])[0]
#print(image_path)
try:
img = misc.imread(image_path)
except (IOError, ValueError, IndexError) as e:
errorMessage = '{}: {}'.format(image_path, e)
print(errorMessage)
else:
if img.ndim<2:
print('Unable to align "%s", img dim error' % image_path)
#text_file.write('%s\n' % (output_filename))
continue
if img.ndim == 2:
img = to_rgb(img)
img = img[:,:,0:3]
_paths = fimage.image_path.split('/')
a,b,c = _paths[-3], _paths[-2], _paths[-1]
target_dir = os.path.join(args.output_dir, a, b)
if not os.path.exists(target_dir):
os.makedirs(target_dir)
target_file = os.path.join(target_dir, c)
warped = None
if fimage.landmark is not None:
dst = fimage.landmark.astype(np.float32)
tform = trans.SimilarityTransform()
tform.estimate(dst, src[0:3,:]*1.5+image_size[0]*0.25)
M = tform.params[0:2,:]
warped0 = cv2.warpAffine(img,M,(image_size[1]*2,image_size[0]*2), borderValue = 0.0)
_minsize = image_size[0]
bounding_boxes, points = detect_face.detect_face(warped0, _minsize, pnet, rnet, onet, threshold, factor)
if bounding_boxes.shape[0]>0:
bindex = 0
det = bounding_boxes[bindex,0:4]
#points need to be transpose, points = points.reshape( (5,2) ).transpose()
dst = points[:, bindex].reshape( (2,5) ).T
tform = trans.SimilarityTransform()
tform.estimate(dst, src)
M = tform.params[0:2,:]
warped = cv2.warpAffine(warped0,M,(image_size[1],image_size[0]), borderValue = 0.0)
nrof[0]+=1
#assert fimage.bbox is not None
if warped is None and fimage.bbox is not None:
_minsize = img.shape[0]//4
bounding_boxes, points = detect_face.detect_face(img, _minsize, pnet, rnet, onet, threshold, factor)
if bounding_boxes.shape[0]>0:
det = bounding_boxes[:,0:4]
bindex = -1
index2 = [0.0, 0]
for i in range(det.shape[0]):
_det = det[i]
iou = IOU(fimage.bbox, _det)
if iou>index2[0]:
index2[0] = iou
index2[1] = i
if index2[0]>0.3:
bindex = index2[1]
if bindex>=0:
dst = points[:, bindex].reshape( (2,5) ).T
tform = trans.SimilarityTransform()
tform.estimate(dst, src)
M = tform.params[0:2,:]
warped = cv2.warpAffine(img,M,(image_size[1],image_size[0]), borderValue = 0.0)
nrof[1]+=1
#print('1',target_file,index2[0])
if warped is None and fimage.bbox is not None:
bb = fimage.bbox
#croped = img[bb[1]:bb[3],bb[0]:bb[2],:]
bounding_boxes, points = detect_face.detect_face_force(img, bb, pnet, rnet, onet)
assert bounding_boxes.shape[0]==1
_box = bounding_boxes[0]
if _box[4]>=0.3:
dst = points[:, 0].reshape( (2,5) ).T
tform = trans.SimilarityTransform()
tform.estimate(dst, src)
M = tform.params[0:2,:]
warped = cv2.warpAffine(img,M,(image_size[1],image_size[0]), borderValue = 0.0)
nrof[2]+=1
#print('2',target_file)
if warped is None:
roi = np.zeros( (4,), dtype=np.int32)
roi[0] = int(img.shape[1]*0.06)
roi[1] = int(img.shape[0]*0.06)
roi[2] = img.shape[1]-roi[0]
roi[3] = img.shape[0]-roi[1]
if fimage.bbox is not None:
bb = fimage.bbox
h = bb[3]-bb[1]
w = bb[2]-bb[0]
x = bb[0]
y = bb[1]
#roi = np.copy(bb)
_w = int( (float(h)/image_size[0])*image_size[1] )
x += (w-_w)//2
#x = min( max(0,x), img.shape[1] )
x = max(0,x)
xw = x+_w
xw = min(xw, img.shape[1])
roi = np.array( (x, y, xw, y+h), dtype=np.int32)
nrof[3]+=1
else:
nrof[4]+=1
#print('3',bb,roi,img.shape)
#print('3',target_file)
warped = img[roi[1]:roi[3],roi[0]:roi[2],:]
#print(warped.shape)
warped = cv2.resize(warped, (image_size[1], image_size[0]))
bgr = warped[...,::-1]
cv2.imwrite(target_file, bgr)
oline = '%d\t%s\t%d\n' % (1,target_file, int(fimage.classname))
text_file.write(oline)
if len(train) < 200:
k += 1
continue
output.append(classID)
#105*122 features
image = []
for i in range(12810):
image.append(0.0)
for i in range(1, len(train)):
pixel = train[i].split(':')
image[int(pixel[0]) - 1] = float(pixel[1])
im = np.array(image).reshape(122, 105)
#im = crop(im)
#im = imresize(im,(128,128))
angle = random.randint(8, 20)
locat_y = random.randint(-20, -10)
rand_scale = random.uniform(0.9, 1.2)
tform = tf.SimilarityTransform(scale=rand_scale,
rotation=math.pi / angle,
translation=(im.shape[0] / 20, locat_y))
rotated = tf.warp(im, tform)
#back_rotated = tf.warp(im, tform.inverse)
#im = crop(im)
#im = imresize(im,(128,128))
#im = Image.fromarray(im)
imsave('random_warp/warp_%d_%d.png' % ((k + 1), classID), rotated)
#new = plt.imshow(back_rotated)
#plt.show()
k += 1
print(k)
def applyGeometricTransformation(startXs, startYs, newXs, newYs, bbox):
import numpy as np
import skimage.transform as tf
import random
[rows,nobj] = np.asarray(startXs.shape)
temp_Xs = []
temp_Ys = []
r = []
homography = []
second_box = np.copy(bbox.astype(np.double))
count = 0
for i in range(nobj):
inliers_count = []
inliers_firstX = []
inliers_firstY = []
inliers_secondX = []
inliers_secondY = []
box_corners = np.matrix.transpose(bbox[i, :, :])
firstX = startXs[:, i]
firstY = startYs[:, i]
firstX = firstX[firstX!=-1]
firstY = firstY[firstY!=-1]
secondX = newXs[:, i]
secondY = newYs[:, i]
secondX = secondX[secondX!=-1]
secondY = secondY[secondY!=-1]
for k in range(500):
for j in range(4):
r.append(random.randint(0,np.shape(firstX)[0])-1)
four_firstX = [firstX[x] for x in r]
four_firstY = [firstY[x] for x in r]
four_secondX = [secondX[x] for x in r]
four_secondY = [secondY[x] for x in r]
H_matrix = tf.SimilarityTransform()
four_first = np.matrix.transpose(np.vstack((four_firstX,four_firstY)))
four_second = np.matrix.transpose(np.vstack((four_secondX,four_secondY)))
H_matrix.estimate(four_first, four_second)
H = H_matrix.params
homog_first = np.vstack((firstX, firstY, np.ones(rows)))
new_second = np.dot(H, homog_first)
diff_vector = np.vstack((secondX, secondY)) - new_second[0:2, :]
diff_vector=diff_vector*diff_vector#find the square of the difference
squared_dist=diff_vector[0,:]+diff_vector[1,:]
temp_firstX = firstX[squared_dist <= 16]
temp_firstY = firstY[squared_dist <= 16]
temp_secondX = secondX[squared_dist <= 16]
temp_secondY = secondY[squared_dist <= 16]
inliers_count.append(np.shape(firstX)[0])
homography.append(H)
inliers_firstX.append(temp_firstX)
inliers_firstY.append(temp_firstY)
inliers_secondX.append(temp_secondX)
inliers_secondY.append(temp_secondY)
max_count_index = inliers_count.index(max(inliers_count))
firstX = inliers_firstX[max_count_index]
firstY = inliers_firstY[max_count_index]
secondX = inliers_secondX[max_count_index]
secondY = inliers_secondY[max_count_index]
H_matrix.estimate(np.matrix.transpose(np.vstack((firstX, firstY))), np.matrix.transpose(np.vstack((secondX, secondY))))
count = max(count, len(secondX))
temp_Xs.append(secondX)
temp_Ys.append(secondY)
homo_box_corners = np.vstack((box_corners, np.ones(2)))
H = H_matrix.params
second_homo_box_corners = np.dot(H, homo_box_corners)
second_box[i, :, :] = np.matrix.transpose(second_homo_box_corners[0:2, :])
Xs = np.ones([count, nobj])*-1
Ys = np.ones([count, nobj])*-1
for m in range(nobj):
Xs[0:len(temp_Xs[m]), m] = temp_Xs[m]
Ys[0:len(temp_Ys[m]), m] = temp_Ys[m]
return Xs, Ys, second_box
def map_func2(coords):
tform2 = transform.SimilarityTransform(scale=257.,
rotation=0,
translation=(255.5, 255.5))
return tform2(np.tanh(tform(coords)))
img_cv2 = np.array(img)[..., ::-1]
import pdb
pdb.set_trace()
src = np.array([[30.2946, 51.6963], [65.5318, 51.5014], [48.0252, 71.7366],
[33.5493, 92.3655], [62.7299, 92.2041]],
dtype=np.float32)
src[:, 0] *= (img.size[0] / 96)
src[:, 1] *= (img.size[1] / 112)
print(img.size)
print(src)
import pdb
pdb.set_trace()
bounding_boxes, landmarks = detect_faces(img)
dst = landmarks[0].astype(np.float32)
facial5points = [[dst[j], dst[j + 5]] for j in range(5)]
tform = trans.SimilarityTransform()
tform.estimate(np.array(facial5points), src)
M = tform.params[0:2, :]
print('M', M)
warped = cv2.warpAffine(img_cv2,
M, (img.size[0], img.size[1]),
borderValue=0.0)
print('warped shaped', warped.shape)
temp = Image.fromarray(warped[..., ::-1])
print('temp', temp.shape)
print('img', img)
def RndTform(img,val):
Ih,Iw = img[0].shape[:2]
sgn = torch.randint(0,2,(1,)).item() * 2 - 1
if sgn>0:
dw = val
dh = 0
else:
dw = 0
dh = val
def rd(d): return torch.empty(1).uniform_(-d,d).item()
def fd(d): return torch.empty(1).uniform_(-dw,d).item()
# generate a random projective transform
# adapted from https://navoshta.com/traffic-signs-classification/
tl_top = rd(dh)
tl_left = fd(dw)
bl_bottom = rd(dh)
bl_left = fd(dw)
tr_top = rd(dh)
tr_right = fd( min(Iw * 3/4 - tl_left,dw) )
br_bottom = rd(dh)
br_right = fd( min(Iw * 3/4 - bl_left,dw) )
tform = stf.ProjectiveTransform()
tform.estimate(np.array((
(tl_left, tl_top),
(bl_left, Ih - bl_bottom),
(Iw - br_right, Ih - br_bottom),
(Iw - tr_right, tr_top)
)), np.array((
[0, 0 ],
[0, Ih - 1 ],
[Iw-1, Ih-1 ],
[Iw-1, 0]
)))
# determine shape of output image, to preserve size
# trick take from the implementation of skimage.transform.rotate
corners = np.array([
[0, 0 ],
[0, Ih - 1 ],
[Iw-1, Ih-1 ],
[Iw-1, 0]
])
corners = tform.inverse(corners)
minc = corners[:, 0].min()
minr = corners[:, 1].min()
maxc = corners[:, 0].max()
maxr = corners[:, 1].max()
out_rows = maxr - minr + 1
out_cols = maxc - minc + 1
output_shape = np.around((out_rows, out_cols))
# fit output image in new shape
translation = (minc, minr)
tform4 = stf.SimilarityTransform(translation=translation)
tform = tform4 + tform
# normalize
tform.params /= tform.params[2, 2]
ret = []
for i in range(len(img)):
img2 = stf.warp(img[i], tform, output_shape=output_shape, cval=1.0)
img2 = stf.resize(img2, (Ih,Iw), preserve_range=True).astype(np.float32)
ret.append(img2)
return ret
def image_deformation(image):
tform = tf.SimilarityTransform(scale=1,
rotation=np.random.random() * np.pi / 12,
translation=(0, .1))
return tf.warp(image, tform)
def apply_translation(img):
translated = 255*warp(img, transform.SimilarityTransform(translation=(np.random.uniform(-5, 5), np.random.uniform(-5, 5))),mode='edge')
translated = translated.astype(np.uint8)
return translated.astype(np.uint8)
def augment_img_batch(self, img_batch, augment_methods):
imgs = []
for sample_ind in range(img_batch.shape[0]):
img = img_batch[sample_ind, :, :, :]
if VFLIP in augment_methods:
if np.random.uniform() > 0.5:
img = np.flipud(img)
if HFLIP in augment_methods:
if np.random.uniform() > 0.5:
img = np.fliplr(img)
if ROTATE90 in augment_methods:
nb_rotations = np.random.randint(0, 4)
img = np.rot90(img, nb_rotations)
skimage_augment_methods = [ROTATE, TRANSLATE, ZOOM]
if set(skimage_augment_methods).intersection(set(augment_methods)):
# skimage requires that float images have values
# in [-1, 1] so we have to scale and then unscale the image to
# achieve this.
max_val = np.max(np.absolute(img.ravel()))
img = img / max_val
nb_rows, nb_cols = img.shape[0:2]
if TRANSLATE in augment_methods:
max_trans_ratio = 0.1
trans_row_bound = int(nb_rows * max_trans_ratio)
trans_col_bound = int(nb_cols * max_trans_ratio)
translation = (np.random.randint(-trans_row_bound,
trans_row_bound),
np.random.randint(-trans_col_bound,
trans_col_bound))
tf = transform.SimilarityTransform(translation=translation)
img = transform.warp(img, tf, mode='reflect')
if ZOOM in augment_methods:
shift_x = shift_y = int(nb_rows / 2)
scale_x = scale_y = np.random.uniform(-0.15, 0.15) + 1.0
matrix_to_topleft = transform.SimilarityTransform(
translation=[-shift_x, -shift_y])
matrix_transforms = transform.AffineTransform(
scale=(scale_x, scale_y))
matrix_to_center = transform.SimilarityTransform(
translation=[shift_x, shift_y])
matrix = (matrix_to_topleft + matrix_transforms +
matrix_to_center)
matrix = matrix.inverse
img = transform.warp(img, matrix, mode='reflect')
if ROTATE in augment_methods:
degrees = np.random.uniform(0, 360)
img = transform.rotate(img, degrees, mode='reflect')
img = img * max_val
imgs.append(np.expand_dims(img, axis=0))
img_batch = np.concatenate(imgs, axis=0)
return img_batch
def keyPressEvent(self, event):
# print(event.key())
self.mask2 = self.mask2.astype(np.float64)
self.mask = self.mask.astype(np.float64)
if event.key() == QtCore.Qt.Key_Right:
self.Hoffset -= 1
self.tform = tr.SimilarityTransform(
translation=(int(self.Hoffset), int(self.Voffset)))
self.mask2 = tr.warp(self.mask,
self.tform,
output_shape=(int(512), int(512)))
[self.mask2, n] = msr.label(self.mask2, return_num=True)
self.mask2 = sgm.clear_border(self.mask2)
self.updateCanvas2()
self.updateCanvas1()
if event.key() == QtCore.Qt.Key_Left:
self.Hoffset += 1
self.tform = tr.SimilarityTransform(translation=(self.Hoffset,
self.Voffset))
self.mask2 = tr.warp(self.mask,
self.tform,
output_shape=(int(512), int(512)))
[self.mask2, n] = msr.label(self.mask2, return_num=True)
self.mask2 = sgm.clear_border(self.mask2)
self.updateCanvas2()
self.updateCanvas1()
if event.key() == QtCore.Qt.Key_Up:
self.Voffset += 1
self.tform = tr.SimilarityTransform(translation=(self.Hoffset,
self.Voffset))
self.mask2 = tr.warp(self.mask,
self.tform,
output_shape=(int(512), int(512)))
[self.mask2, n] = msr.label(self.mask2, return_num=True)
self.mask2 = sgm.clear_border(self.mask2)
self.updateCanvas2()
self.updateCanvas1()
if event.key() == QtCore.Qt.Key_Down:
self.Voffset -= 1
self.tform = tr.SimilarityTransform(translation=(self.Hoffset,
self.Voffset))
self.mask2 = tr.warp(self.mask,
self.tform,
output_shape=(int(512), int(512)))
[self.mask2, n] = msr.label(self.mask2, return_num=True)
self.mask2 = sgm.clear_border(self.mask2)
self.updateCanvas2()
self.updateCanvas1()
self.setFocus()
def doublechannel(indir0, indir, outdir, x0=0, x1=-1, y0=0, y1=-1, time0a=-23, time0b=-8, time1a=None,
time1b=None, skip=1, xoffset=0, yoffset=0, sigma=20, threshold='0.', kr=0.,
biascorrect=0, interpolate=0, verbose=0):
print('Double-channel coalignment.')
import datetime
def is_digit(stri):
return stri.isdigit()
absflag=0; filterflag=1; marg = 0.2 # Margins of the calculated shifts that are excluded.
if indir0[-1] != '/': indir0 += '/'
if indir[-1] != '/': indir += '/'
if outdir[-1] != '/': outdir += '/'
filin0 = glob(indir0+"*.f*ts")
nfilin0 = len(filin0)
if nfilin0 == 0:
print(f"The reference folder {indir0} is empty!")
return -1
filin0.sort()
filin = glob(indir+"*.f*ts")
nfilin = len(filin)
if nfilin == 0:
print(f"The input folder {indir} is empty!")
return -1
filin.sort()
#ind0 = 0
tims0 = "".join(filter(is_digit, filin0[0][time0a:time0b]))
tims1 = "".join(filter(is_digit, filin[0][time1a:time1b]))
if len(tims0) != 14 or len(tims1) != 14:
print("time0a, time0b, time1a, time1b: time should be from year to second")
return -1
timarr = [];
for ii in range(nfilin0):
tims = "".join(filter(is_digit, filin0[ii][time0a:time0b]))
timdate=datetime.datetime(int(tims[0:4]), int(tims[4:6]), int(tims[6:8]), int(tims[8:10]),
int(tims[10:12]), int(tims[12:14]))
timarr.append(timdate)
timarr = np.array(timarr, dtype=datetime.datetime)
xoffset = xoffset % skip; yoffset = yoffset % skip
if threshold[-1] == 'a':
absflag = 1;
threshold = float(threshold[0:-1])
else:
threshold = float(threshold)
if kr <= 0. or kr > 20.:
print("Nonsense value of kr, = {}".format(kr))
return -1
sigma = ct.c_double(sigma);
thresh = ct.c_double(threshold);
kr = ct.c_double(kr);
# Notice that for 2-D array in python and C languages, the 1st dimension is indicated by y and the 2nd by x.
# It is consistent with images.
# But in flcasubs.c, the 1st dimension is marked with x and 2nd with y, following FLCT.
ny = y1-y0
nx = x1-x0
nys = int(np.ceil((ny-yoffset)/skip)) # dimensions for the results
nxs = int(np.ceil((nx-xoffset)/skip))
indx0 = int(nxs*marg); indx1 = int(np.ceil(nxs-indx0)); indy0 = int(nys*marg); indy1 = int(np.ceil(nys-indy0))
ArrayType = ct.c_double*(nx*ny)
f1ct = ArrayType();
f2ct = ArrayType();
print("{} files will be coaligned".format(nfilin))
shiftx0 = 0; shifty0 = 0
sxarr = np.zeros(nfilin); syarr = np.zeros(nfilin)
i0 = 0
for ii in range(nfilin):
tims1 = "".join(filter(is_digit, filin[ii][time1a:time1b]))
timdate=datetime.datetime(int(tims1[0:4]), int(tims1[4:6]), int(tims1[6:8]), int(tims1[8:10]),
int(tims1[10:12]), int(tims1[12:14]))
for i1 in range(i0, nfilin0):
if timarr[i1]>timdate: break
if i1 > i0:
timd1 = timdate-timarr[i1-1]
timd2 = timarr[i1]-timdate
if timd1.seconds < timd2.seconds:
i0 = i1-1
else:
i0 = i1
print("{} {} {}".format(ii, os.path.basename(filin[ii]), os.path.basename(filin0[i0])), end="\n")
data, hdr = readfits(filin0[i0])
f1 = data[y0:y1, x0:x1]
data, hdr = readfits(filin[ii])
tform = transform.SimilarityTransform(translation=(shiftx0,shifty0))
data1 = transform.warp(data, tform, order=interpolate)
f2 = data1[y0:y1, x0:x1]
# tate care, all the normal data are assumed to be larger than 0
f1[np.logical_or(np.isnan(f1), np.isnan(f2))] = threshold-10
f2[np.logical_or(np.isnan(f1), np.isnan(f2))] = threshold-10
#f1 = detrend(f1)
#f2 = detrend(f2)
for i in range(ny):
for j in range(nx):
f1ct[i*nx+j] = f1[i,j]
f2ct[i*nx+j] = f2[i,j]
vxct = ArrayType()
vyct = ArrayType()
vmct = ArrayType()
# The 1st dimension is y and the 2nd is x.
tmp = flcas.flca(f1ct, f2ct, ny, nx, sigma, vyct, vxct, vmct, thresh, absflag,
filterflag, kr, skip, yoffset, xoffset, biascorrect, verbose)
# reshape and select
vx = np.array(vxct).reshape([ny, nx])
vy = np.array(vyct).reshape([ny, nx])
vm = np.array(vmct).reshape([ny, nx]);
vx = vx[yoffset::skip, xoffset::skip]
vy = vy[yoffset::skip, xoffset::skip]
vm = vm[yoffset::skip, xoffset::skip];
vx = vx[indy0:indy1, indx0:indx1]
vy = vy[indy0:indy1, indx0:indx1]
vm = vm[indy0:indy1, indx0:indx1];
vm[np.logical_or(np.isnan(vx), np.isnan(vy))] = 0
shiftx = np.median(vx[vm == 1.])
shifty = np.median(vy[vm == 1.])
if shiftx == np.nan or shifty == np.nan:
print("Shift X or shift Y is Nan, return.")
return -1
shiftx0 = shiftx+shiftx0; shifty0 = shifty+shifty0
if interpolate == 0:
shiftx0 = round(shiftx0); shifty0 = round(shifty0)
tform = transform.SimilarityTransform(translation=(shiftx0,shifty0))
data = transform.warp(data, tform, order=interpolate)
# order = 0: Nearest-neighbor; order = 1: Bi-linear (default). Other choices are not included.
fname0 = os.path.basename(filin[ii])
fits.writeto(outdir+fname0, data, hdr, output_verify='fix', overwrite=True, checksum=False)
sxarr[ii] = shiftx0; syarr[ii] = shifty0
np.savez_compressed('shiftxy.npz', sx=sxarr, sy=syarr)
return 0
def transform(self, Xb, yb):
Xb, yb = super(DataAugmentationBatchIterator, self).transform(Xb, yb)
augmentation_params = {
'zoom_range': (1.0, 1.1),
'rotation_range': (0, 360),
'shear_range': (0, 20),
'translation_range': (-4, 4),
}
IMAGE_WIDTH = PIXELS
IMAGE_HEIGHT = PIXELS
def fast_warp(img, tf, output_shape=(PIXELS,PIXELS), mode='nearest'):
"""
This wrapper function is about five times faster than skimage.transform.warp, for our use case.
"""
#m = tf._matrix
m = tf.params
img_wf = np.empty((output_shape[0], output_shape[1]), dtype='float32')
#for k in xrange(1):
# img_wf[..., k] = skimage.transform._warps_cy._warp_fast(img[..., k], m, output_shape=output_shape, mode=mode)
img_wf = skimage.transform._warps_cy._warp_fast(img, m, output_shape=output_shape, mode=mode)
return img_wf
def random_perturbation_transform(zoom_range, rotation_range, shear_range, translation_range, do_flip=True):
# random shift [-10, 10] - shift no longer needs to be integer!
shift_x = np.random.uniform(*translation_range)
shift_y = np.random.uniform(*translation_range)
translation = (shift_x, shift_y)
# random rotation [0, 360]
rotation = np.random.uniform(*rotation_range) # there is no post-augmentation, so full rotations here!
# random shear [0, 20]
shear = np.random.uniform(*shear_range)
# random zoom [0.9, 1.1]
# zoom = np.random.uniform(*zoom_range)
log_zoom_range = [np.log(z) for z in zoom_range]
zoom = np.exp(np.random.uniform(*log_zoom_range)) # for a zoom factor this sampling approach makes more sense.
# the range should be multiplicatively symmetric, so [1/1.1, 1.1] instead of [0.9, 1.1] makes more sense.
translation = (0,0)
rotation = 0.0
shear = 0.0
zoom = 1.0
rotate = np.random.randint(4)
if rotate == 0:
rotation = 0.0
elif rotate == 1:
rotation = 90.0
elif rotate == 2:
rotation = 180.0
else:
rotation = 270.0
'''
# only translate 40% of the cases
trans = np.random.randint(10)
if trans == 0:
translation = (-2,-2)
elif trans == 1:
translation = (2,2)
else:
translation = (0,0)
'''
'''
zooming = np.random.randint(3)
if zooming == 0:
shear = 0
elif zooming == 1 and rotate == 0:
shear = 10
elif zooming ==2 and rotate == 0:
shear = 20
else:
shear = 0
'''
'''
trans = np.random.randint(5)
if trans == 0:
translation = (0,0)
elif trans == 1:
translation = (-4,0)
elif trans == 2:
translation = (0,-4)
elif trans == 3:
translation = (4,0)
else:
translation = (0,4)
rotate = np.random.randint(8)
if rotate == 0:
rotation = 0.0
elif rotate == 1:
rotation = 90.0
elif rotate == 2:
rotation = 180.0
elif rotate == 3:
rotation = 45.0
elif rotate == 4:
rotation = 135.0
elif rotate == 5:
rotation = 225.0
elif rotate == 6:
rotation = 315.0
else:
rotation = 270.0
'''
## flip
if do_flip and (np.random.randint(2) > 0): # flip half of the time
shear += 180
rotation += 180
# shear by 180 degrees is equivalent to rotation by 180 degrees + flip.
# So after that we rotate it another 180 degrees to get just the flip.
'''
print "translation = ", translation
print "rotation = ", rotation
print "shear = ",shear
print "zoom = ",zoom
print ""
'''
return build_augmentation_transform(zoom, rotation, shear, translation)
center_shift = np.array((IMAGE_HEIGHT, IMAGE_WIDTH)) / 2. - 0.5
tform_center = transform.SimilarityTransform(translation=-center_shift)
tform_uncenter = transform.SimilarityTransform(translation=center_shift)
def build_augmentation_transform(zoom=1.0, rotation=0, shear=0, translation=(0, 0)):
tform_augment = transform.AffineTransform(scale=(1/zoom, 1/zoom),
rotation=np.deg2rad(rotation),
shear=np.deg2rad(shear),
translation=translation)
tform = tform_center + tform_augment + tform_uncenter # shift to center, augment, shift back (for the rotation/shearing)
return tform
tform_augment = random_perturbation_transform(**augmentation_params)
tform_identity = skimage.transform.AffineTransform()
tform_ds = skimage.transform.AffineTransform()
for i in range(Xb.shape[0]):
new = fast_warp(Xb[i][0], tform_ds + tform_augment + tform_identity, output_shape=(PIXELS,PIXELS), mode='nearest').astype('float32')
Xb[i,:] = new
return Xb, yb
if __name__ == "__main__":
detector = RetinaFace(0)
imgname = "examples/obama.png"
img = cv2.imread(imgname)
faces = detector(cv2.cvtColor(img, cv2.COLOR_BGR2RGB))
face = faces[0]
box, landmark, score = face
std_points_256 = np.array([
[85.82991, 85.7792],
[169.0532, 84.3381],
[127.574, 137.0006],
[90.6964, 174.7014],
[167.3069, 173.3733],
])
trans = transform.SimilarityTransform()
res = trans.estimate(landmark, std_points_256)
M = trans.params
new_img = cv2.warpAffine(img, M[:2, :], dsize=(256, 256))
cv2.imshow("new_img", new_img)
cv2.waitKey(0)
def gen_aug_images(img):
'''
Data augmentation batch iterator for feeding images into CNN.
This example will randomly rotate all images in a given batch between -9 and 9 degrees
and to random translations between -2 and 2 pixels in all directions.
Be sure to remove part that displays the augmented images, it's only there to check
that everything works correctly.
'''
img_aug = np.zeros((PIXELS, PIXELS, 3))
# color intensity augmentation
r_intensity = random.randint(0, 1)
g_intensity = random.randint(0, 1)
b_intensity = random.randint(0, 1)
intensity_scaler = random.randint(-20, 20) / 255.
# pad and crop settings
trans_1 = random.randint(0, (PAD_CROP * 2))
trans_2 = random.randint(0, (PAD_CROP * 2))
crop_x1 = trans_1
crop_x2 = (PIXELS + trans_1)
crop_y1 = trans_2
crop_y2 = (PIXELS + trans_2)
# shearing
shear_deg = random.uniform(-5, 5)
# random rotations betweein -15 and 15 degrees
dorotate = random.randint(-15, 15)
# brightness settings
bright = random.uniform(0.8, 1.2)
# flip left-right choice
#flip_lr = random.randint(0,1)
# set the transform parameters for skimage.transform.warp
# have to shift to center and then shift back after transformation otherwise
# rotations will make image go out of frame
center_shift = np.array((PIXELS, PIXELS)) / 2. - 0.5
tform_center = transform.SimilarityTransform(translation=-center_shift)
tform_uncenter = transform.SimilarityTransform(translation=center_shift)
tform_aug = transform.AffineTransform(shear=np.deg2rad(shear_deg),
rotation=np.deg2rad(dorotate))
tform = tform_center + tform_aug + tform_uncenter
# images in the batch do the augmentation
#img = crop(img, crop_amt)
for i in range(img_aug.shape[2]):
img_aug[:, :, i] = fast_warp(img[:, :, i],
tform,
output_shape=(PIXELS, PIXELS))
# pad and crop images
img_pad = np.pad(img_aug[:, :, i],
pad_width=((PAD_CROP, PAD_CROP), (PAD_CROP,
PAD_CROP)),
mode='constant')
img_aug[:, :, i] = img_pad[crop_x1:crop_x2, crop_y1:crop_y2]
# adjust brightness
img_aug = img_aug * bright
if r_intensity == 1:
img_aug[:, :, 0] += intensity_scaler
if g_intensity == 1:
img_aug[:, :, 1] += intensity_scaler
if b_intensity == 1:
img_aug[:, :, 2] += intensity_scaler
img_aug[img_aug > 1] = 1.0
#choice = randint(0,2)
#if choice == 1:
# img_aug = np.fliplr(img_aug)
return img_aug
def create_aug_matrices(nb_matrices, img_width_px, img_height_px,
scale_to_percent=1.0, scale_axis_equally=False,
rotation_deg=0, shear_deg=0,
translation_x_px=0, translation_y_px=0,
seed=None):
"""Creates the augmentation matrices that may later be used to transform
images.
This is a wrapper around scikit-image's transform.AffineTransform class.
You can apply those matrices to images using the apply_aug_matrices()
function.
Args:
nb_matrices: How many matrices to return, e.g. 100 returns 100 different
random-generated matrices (= 100 different transformations).
img_width_px: Width of the images that will be transformed later
on (same as the width of each of the matrices).
img_height_px: Height of the images that will be transformed later
on (same as the height of each of the matrices).
scale_to_percent: Same as in ImageAugmenter.__init__().
Up to which percentage the images may be
scaled/zoomed. The negative scaling is automatically derived
from this value. A value of 1.1 allows scaling by any value
between -10% and +10%. You may set min and max values yourself
by using a tuple instead, like (1.1, 1.2) to scale between
+10% and +20%. Default is 1.0 (no scaling).
scale_axis_equally: Same as in ImageAugmenter.__init__().
Whether to always scale both axis (x and y)
in the same way. If set to False, then e.g. the Augmenter
might scale the x-axis by 20% and the y-axis by -5%.
Default is False.
rotation_deg: Same as in ImageAugmenter.__init__().
By how much the image may be rotated around its
center (in degrees). The negative rotation will automatically
be derived from this value. E.g. a value of 20 allows any
rotation between -20 degrees and +20 degrees. You may set min
and max values yourself by using a tuple instead, e.g. (5, 20)
to rotate between +5 und +20 degrees. Default is 0 (no
rotation).
shear_deg: Same as in ImageAugmenter.__init__().
By how much the image may be sheared (in degrees). The
negative value will automatically be derived from this value.
E.g. a value of 20 allows any shear between -20 degrees and
+20 degrees. You may set min and max values yourself by using a
tuple instead, e.g. (5, 20) to shear between +5 und +20
degrees. Default is 0 (no shear).
translation_x_px: Same as in ImageAugmenter.__init__().
By up to how many pixels the image may be
translated (moved) on the x-axis. The negative value will
automatically be derived from this value. E.g. a value of +7
allows any translation between -7 and +7 pixels on the x-axis.
You may set min and max values yourself by using a tuple
instead, e.g. (5, 20) to translate between +5 und +20 pixels.
Default is 0 (no translation on the x-axis).
translation_y_px: Same as in ImageAugmenter.__init__().
See translation_x_px, just for the y-axis.
seed: Seed to use for python's and numpy's random functions.
Returns:
List of augmentation matrices.
"""
assert nb_matrices > 0
assert img_width_px > 0
assert img_height_px > 0
assert is_minmax_tuple(scale_to_percent) or scale_to_percent >= 1.0
assert is_minmax_tuple(rotation_deg) or rotation_deg >= 0
assert is_minmax_tuple(shear_deg) or shear_deg >= 0
assert is_minmax_tuple(translation_x_px) or translation_x_px >= 0
assert is_minmax_tuple(translation_y_px) or translation_y_px >= 0
if seed is not None:
random.seed(seed)
np.random.seed(seed)
result = []
shift_x = int(img_width_px / 2.0)
shift_y = int(img_height_px / 2.0)
# prepare min and max values for
# scaling/zooming (min/max values)
if is_minmax_tuple(scale_to_percent):
scale_x_min = scale_to_percent[0]
scale_x_max = scale_to_percent[1]
else:
scale_x_min = scale_to_percent
scale_x_max = 1.0 - (scale_to_percent - 1.0)
assert scale_x_min > 0.0
#if scale_x_max >= 2.0:
# warnings.warn("Scaling by more than 100 percent (%.2f)." % (scale_x_max,))
scale_y_min = scale_x_min # scale_axis_equally affects the random value generation
scale_y_max = scale_x_max
# rotation (min/max values)
if is_minmax_tuple(rotation_deg):
rotation_deg_min = rotation_deg[0]
rotation_deg_max = rotation_deg[1]
else:
rotation_deg_min = (-1) * int(rotation_deg)
rotation_deg_max = int(rotation_deg)
# shear (min/max values)
if is_minmax_tuple(shear_deg):
shear_deg_min = shear_deg[0]
shear_deg_max = shear_deg[1]
else:
shear_deg_min = (-1) * int(shear_deg)
shear_deg_max = int(shear_deg)
# translation x-axis (min/max values)
if is_minmax_tuple(translation_x_px):
translation_x_px_min = translation_x_px[0]
translation_x_px_max = translation_x_px[1]
else:
translation_x_px_min = (-1) * translation_x_px
translation_x_px_max = translation_x_px
# translation y-axis (min/max values)
if is_minmax_tuple(translation_y_px):
translation_y_px_min = translation_y_px[0]
translation_y_px_max = translation_y_px[1]
else:
translation_y_px_min = (-1) * translation_y_px
translation_y_px_max = translation_y_px
# create nb_matrices randomized affine transformation matrices
for _ in range(nb_matrices):
# generate random values for scaling, rotation, shear, translation
scale_x = random.uniform(scale_x_min, scale_x_max)
scale_y = random.uniform(scale_y_min, scale_y_max)
if not scale_axis_equally:
scale_y = random.uniform(scale_y_min, scale_y_max)
else:
scale_y = scale_x
rotation = np.deg2rad(random.randint(rotation_deg_min, rotation_deg_max))
shear = np.deg2rad(random.randint(shear_deg_min, shear_deg_max))
translation_x = random.randint(translation_x_px_min, translation_x_px_max)
translation_y = random.randint(translation_y_px_min, translation_y_px_max)
# create three affine transformation matrices
# 1st one moves the image to the top left, 2nd one transforms it, 3rd one
# moves it back to the center.
# The movement is neccessary, because rotation is applied to the top left
# and not to the image's center (same for scaling and shear).
matrix_to_topleft = tf.SimilarityTransform(translation=[-shift_x, -shift_y])
matrix_transforms = tf.AffineTransform(scale=(scale_x, scale_y),
rotation=rotation, shear=shear,
translation=(translation_x,
translation_y))
matrix_to_center = tf.SimilarityTransform(translation=[shift_x, shift_y])
# Combine the three matrices to one affine transformation (one matrix)
matrix = matrix_to_topleft + matrix_transforms + matrix_to_center
# one matrix is ready, add it to the result
result.append(matrix.inverse)
return result
def show_radon_registration(img1, rotation_ccw_deg, translation_pixels,
num_angles):
'''The function get image and transform parameters and apply transformation and radon transform,then show the results and the diffirences betwwen them'''
imgGrey = img1
allSize = imgGrey.shape[0]
padSize = imgGrey.shape[0] / 2
#pad the image to get correct transform
imgPad = np.pad(imgGrey, padSize, mode="edge")
#get the transformation
tform = tf.SimilarityTransform(scale=1,
rotation=math.radians(rotation_ccw_deg),
translation=translation_pixels)
#apply the transformation
imgWarped = tf.warp(imgPad, tform.inverse)
#show results
plt.figure(1)
#plt.title("Fixed Brain With Padding")
plt.title("Phantom With Padding")
plt.imshow(imgPad, cmap=cm.gray)
plt.figure(2)
#plt.title("Fixed Brain After Padding and transformation")
plt.title("Phantom After Padding and transformation")
plt.imshow(imgWarped, cmap=cm.gray)
plt.show()
#return images to original size
unpadImgPad = imgPad[padSize:allSize - padSize + 1,
padSize:allSize - padSize + 1]
unpadImWraped = imgWarped[padSize:allSize - padSize + 1,
padSize:allSize - padSize + 1]
fixed_angles_deg = np.arange(180)
moving_angles_deg = np.arange(0, 180, 180 / num_angles)
#apply radon trnasform with angles range
fixed_sinogram = tf.radon(unpadImgPad, fixed_angles_deg, circle=True)
moving_sinogram = tf.radon(unpadImWraped, moving_angles_deg, circle=True)
#get the best radon parameters for transfromation
theta, trans = radon_register(fixed_sinogram, fixed_angles_deg,
moving_sinogram, moving_angles_deg)
tform1 = tf.SimilarityTransform(scale=1,
rotation=math.radians(theta),
translation=trans)
#apply the trans
imgWarped1 = tf.warp(imgPad, tform1.inverse)
#show results
plt.figure(3)
#plt.title("Fixed Brain After Radon tranformation")
plt.title("Phantom After Radon tranformation")
plt.imshow(imgWarped1, cmap=cm.gray)
plt.show()
#show diffirences
plt.imshow(imgPad, cmap=cm.gray)
plt.imshow(sobel(imgWarped1), alpha=0.5)
#plt.title("Differences Between Original Brain and Radon Transform Brain")
plt.title(
"Differences Between Original Phantom and Radon Transform Phantom")
plt.show()
def map_func1(coords):
tform2 = transform.SimilarityTransform(scale=1 / 32,
rotation=0,
translation=(-1.0, -1.0))
return tform.inverse(tform2(coords))
def align_seq(prj,
ang,
fdir='.',
iters=10,
pad=(0, 0),
blur=True,
save=False,
debug=True):
"""Aligns the projection image stack using the sequential
re-projection algorithm :cite:`Gursoy:17`.
Parameters
----------
prj : ndarray
3D stack of projection images. The first dimension
is projection axis, second and third dimensions are
the x- and y-axes of the projection image, respectively.
ang : ndarray
Projection angles in radians as an array.
iters : scalar, optional
Number of iterations of the algorithm.
pad : list-like, optional
Padding for projection images in x and y-axes.
blur : bool, optional
Blurs the edge of the image before registration.
save : bool, optional
Saves projections and corresponding reconstruction
for each algorithm iteration.
debug : book, optional
Provides debugging info such as iterations and error.
Returns
-------
ndarray
3D stack of projection images with jitter.
ndarray
Error array for each iteration.
"""
from skimage import transform as tf
from skimage.feature import register_translation
import tomopy
import dxchange
import numpy as np
# Needs scaling for skimage float operations.
prj, scl = scale(prj)
# Shift arrays
sx = np.zeros((prj.shape[0]))
sy = np.zeros((prj.shape[0]))
conv = np.zeros((iters))
# Pad images.
npad = ((0, 0), (pad[1], pad[1]), (pad[0], pad[0]))
prj = np.pad(prj, npad, mode='constant', constant_values=0)
#prj = np.pad(prj, npad, mode='edge')
# Register each image frame-by-frame.
for n in range(iters):
# Reconstruct image.
rec = tomopy.recon(prj, ang, algorithm='sirt')
##rec = tomopy.recon(prj, ang, algorithm='sirt', num_iter=2)
#rec = tomopy.recon(prj, ang, algorithm='gridrec')
# Re-project data and obtain simulated data.
sim = tomopy.project(rec, ang, pad=False)
# Blur edges.
if blur:
_prj = blur_edges(prj, 0.1, 0.5)
_sim = blur_edges(sim, 0.1, 0.5)
else:
_prj = prj
_sim = sim
# Initialize error matrix per iteration.
err = np.zeros((prj.shape[0]))
# For each projection
for m in range(prj.shape[0]):
# Register current projection in sub-pixel precision
shift, error, diffphase = register_translation(_prj[m], _sim[m], 2)
err[m] = np.sqrt(shift[0] * shift[0] + shift[1] * shift[1])
sx[m] += shift[0]
sy[m] += shift[1]
# Register current image with the simulated one
tform = tf.SimilarityTransform(translation=(shift[1], shift[0]))
prj[m] = tf.warp(prj[m], tform, order=5)
##prj[m] = tf.warp(prj[m], tform, order=0, mode='edge')
if debug:
print('iter=' + str(n) + ', err=' + str(np.linalg.norm(err)))
conv[n] = np.linalg.norm(err)
if save:
dxchange.write_tiff(prj, fdir + '/tmp/iters/prj/prj')
dxchange.write_tiff(sim, fdir + '/tmp/iters/sim/sim')
dxchange.write_tiff(rec, fdir + '/tmp/iters/rec/rec')
# Re-normalize data
prj *= scl
return prj, sx, sy, conv
def align_joint(prj,
ang,
fdir='.',
iters=10,
pad=(0, 0),
blur=True,
center=None,
algorithm='sirt',
upsample_factor=10,
rin=0.5,
rout=0.8,
save=False,
debug=True):
"""
Aligns the projection image stack using the joint
re-projection algorithm :cite:`Gursoy:17`.
Parameters
----------
prj : ndarray
3D stack of projection images. The first dimension
is projection axis, second and third dimensions are
the x- and y-axes of the projection image, respectively.
ang : ndarray
Projection angles in radians as an array.
iters : scalar, optional
Number of iterations of the algorithm.
pad : list-like, optional
Padding for projection images in x and y-axes.
blur : bool, optional
Blurs the edge of the image before registration.
center: array, optional
Location of rotation axis.
algorithm : {str, function}
One of the following string values.
'art'
Algebraic reconstruction technique :cite:`Kak:98`.
'gridrec'
Fourier grid reconstruction algorithm :cite:`Dowd:99`,
:cite:`Rivers:06`.
'mlem'
Maximum-likelihood expectation maximization algorithm
:cite:`Dempster:77`.
'sirt'
Simultaneous algebraic reconstruction technique.
'tv'
Total Variation reconstruction technique
:cite:`Chambolle:11`.
'grad'
Gradient descent method with a constant step size
upsample_factor : integer, optional
The upsampling factor. Registration accuracy is
inversely propotional to upsample_factor.
rin : scalar, optional
The inner radius of blur function. Pixels inside
rin is set to one.
rout : scalar, optional
The outer radius of blur function. Pixels outside
rout is set to zero.
save : bool, optional
Saves projections and corresponding reconstruction
for each algorithm iteration.
debug : book, optional
Provides debugging info such as iterations and error.
Returns
-------
ndarray
3D stack of projection images with jitter.
ndarray
Error array for each iteration.
"""
# Needs scaling for skimage float operations.
prj, scl = scale(prj)
# Shift arrays
sx = np.zeros((prj.shape[0]))
sy = np.zeros((prj.shape[0]))
conv = np.zeros((iters))
# Pad images.
npad = ((0, 0), (pad[1], pad[1]), (pad[0], pad[0]))
prj = np.pad(prj, npad, mode='constant', constant_values=0)
# Initialization of reconstruction.
rec = 1e-12 * np.ones((prj.shape[1], prj.shape[2], prj.shape[2]))
extra_kwargs = {}
if algorithm != 'gridrec':
extra_kwargs['num_iter'] = 1
# Register each image frame-by-frame.
for n in range(iters):
if np.mod(n, 1) == 0:
_rec = rec
# Reconstruct image.
rec = recon(prj,
ang,
center=center,
algorithm=algorithm,
init_recon=_rec,
**extra_kwargs)
# Re-project data and obtain simulated data.
sim = project(rec, ang, center=center, pad=False)
# Blur edges.
if blur:
_prj = blur_edges(prj, rin, rout)
_sim = blur_edges(sim, rin, rout)
else:
_prj = prj
_sim = sim
# Initialize error matrix per iteration.
err = np.zeros((prj.shape[0]))
# For each projection
for m in range(prj.shape[0]):
# Register current projection in sub-pixel precision
shift, error, diffphase = phase_cross_correlation(
_prj[m], _sim[m], upsample_factor)
err[m] = np.sqrt(shift[0] * shift[0] + shift[1] * shift[1])
sx[m] += shift[0]
sy[m] += shift[1]
# Register current image with the simulated one
tform = tf.SimilarityTransform(translation=(shift[1], shift[0]))
prj[m] = tf.warp(prj[m], tform, order=5)
if debug:
print('iter=' + str(n) + ', err=' + str(np.linalg.norm(err)))
conv[n] = np.linalg.norm(err)
if save:
write_tiff(prj, 'tmp/iters/prj', n)
write_tiff(sim, 'tmp/iters/sim', n)
write_tiff(rec, 'tmp/iters/rec', n)
# Re-normalize data
prj *= scl
return prj, sx, sy, conv
plt.close()
# Re use previous coordinates, if found
if not os.path.exists('_reg_coords.npz'):
choose_corresponding_points()
coords = np.load('_reg_coords.npz')
# Estimate the transformation between the two sets of coordinates,
# assuming it is an affine transform
tf = transform.estimate_transform('similarity', coords['source'], coords['target'])
# Use a translation transformation to center both images for display purposes
offset = transform.SimilarityTransform(translation=(-200, -170))
img0_warped = transform.warp(img0, inverse_map=offset,
output_shape=(600, 600))
img1_warped = transform.warp(img1, inverse_map=offset + tf,
output_shape=(600, 600))
# Find where both images overlap; in that region average their values
mask = (img0_warped != 0) & (img1_warped != 0)
registered = img0_warped + img1_warped
registered[mask] /= 2
# Display the results
f, (ax0, ax1, ax2) = plt.subplots(1, 3, subplot_kw={'xticks': [], 'yticks': []})
