def __init__(self):
self.max_itr = 250
self.tolerance = 1e-3
self.freq = 5
self.epsilon = 0.7
self.omega = 0.3
self.beta = 2.0
self.lambd = 0.5
self.SIFT = cv2.xfeatures2d.SIFT_create()
self.SC = ShapeContext()
def __init__(self):
self.height = 224
self.width = 224
self.shape = np.array([224.0, 224.0])
self.sift_weight = 2.0
self.cnn_weight = 1.0
self.max_itr = 200
self.tolerance = 1e-2
self.freq = 5 # k in the paper
self.epsilon = 0.5
self.omega = 0.5
self.beta = 2.0
self.lambd = 0.5
self.cnnph = tf.placeholder("float", [2, 224, 224, 3])
self.vgg = VGG16mo()
self.vgg.build(self.cnnph)
self.SC = ShapeContext()
class CNN(object):
def __init__(self):
self.height = 224
self.width = 224
self.shape = np.array([224.0, 224.0])
self.sift_weight = 2.0
self.cnn_weight = 1.0
self.max_itr = 200
self.tolerance = 1e-2
self.freq = 5 # k in the paper
self.epsilon = 0.5
self.omega = 0.5
self.beta = 2.0
self.lambd = 0.5
self.cnnph = tf.placeholder("float", [2, 224, 224, 3])
self.vgg = VGG16mo()
self.vgg.build(self.cnnph)
self.SC = ShapeContext()
def register(self, IX, IY):
# set parameters
tolerance = self.tolerance
freq = self.freq
epsilon = self.epsilon
omega = self.omega
beta = self.beta
lambd = self.lambd
# resize image
Xscale = 1.0 * np.array(IX.shape[:2]) / self.shape
Yscale = 1.0 * np.array(IY.shape[:2]) / self.shape
IX = cv2.resize(IX, (self.height, self.width))
IY = cv2.resize(IY, (self.height, self.width))
# CNN feature
# propagate the images through VGG16
IX = np.expand_dims(IX, axis=0)
IY = np.expand_dims(IY, axis=0)
cnn_input = np.concatenate((IX, IY), axis=0)
with tf.Session() as sess:
feed_dict = {self.cnnph: cnn_input}
D1, D2, D3 = sess.run(
[self.vgg.pool3, self.vgg.pool4, self.vgg.pool5_1],
feed_dict=feed_dict)
# flatten
DX1, DY1 = np.reshape(D1[0], [-1, 256]), np.reshape(D1[1], [-1, 256])
DX2, DY2 = np.reshape(D2[0], [-1, 512]), np.reshape(D2[1], [-1, 512])
DX3, DY3 = np.reshape(D3[0], [-1, 512]), np.reshape(D3[1], [-1, 512])
# normalization
DX1, DY1 = DX1 / np.std(DX1), DY1 / np.std(DY1)
DX2, DY2 = DX2 / np.std(DX2), DY2 / np.std(DY2)
DX3, DY3 = DX3 / np.std(DX3), DY3 / np.std(DY3)
del D1, D2, D3
# compute feature space distance
PD1 = pairwise_distance(DX1, DY1)
PD2 = pd_expand(pairwise_distance(DX2, DY2), 2)
PD3 = pd_expand(pairwise_distance(DX3, DY3), 4)
PD = 1.414 * PD1 + PD2 + PD3
del DX1, DY1, DX2, DY2, DX3, DY3, PD1, PD2, PD3
seq = np.array([[i, j] for i in range(28) for j in range(28)],
dtype='int32')
X = np.array(seq, dtype='float32') * 8.0 + 4.0
Y = np.array(seq, dtype='float32') * 8.0 + 4.0
# normalize
X = (X - 112.0) / 224.0
Y = (Y - 112.0) / 224.0
# prematch and select points
C_all, quality = match(PD)
tau_max = np.max(quality)
while np.where(quality >= tau_max)[0].shape[0] <= 128:
tau_max -= 0.01
C = C_all[np.where(quality >= tau_max)]
cnt = C.shape[0]
# select prematched feature points
X, Y = X[C[:, 1]], Y[C[:, 0]]
PD = PD[np.repeat(np.reshape(C[:, 1], [cnt, 1]), cnt, axis=1),
np.repeat(np.reshape(C[:, 0], [1, cnt]), cnt, axis=0)]
N = X.shape[0]
M = X.shape[0]
assert M == N
# precalculation of feature match
C_all, quality = match(PD)
# compute \hat{\theta} and \delta
tau_min = np.min(quality)
tau_max = np.max(quality)
while np.where(quality >= tau_max)[0].shape[0] <= 0.5 * cnt:
tau_max -= 0.01
tau = tau_max
delta = (tau_max - tau_min) / 10.0
SCX = self.SC.compute(X)
# initialization
Z = Y.copy()
GRB = gaussian_radial_basis(Y, beta)
A = np.zeros([M, 2])
sigma2 = init_sigma2(X, Y)
Pr = None
Q = 0
dQ = float('Inf')
itr = 1
# registration process
while itr < self.max_itr and abs(dQ) > tolerance and sigma2 > 1e-4:
Z_old = Z.copy()
Q_old = Q
# for every k iterations
if (itr - 1) % freq == 0:
# compute C^{conv}_{\theta}
C = C_all[np.where(quality >= tau)]
Lt = PD[C[:, 0], C[:, 1]]
maxLt = np.max(Lt)
if maxLt > 0: Lt = Lt / maxLt
L = np.ones([M, N])
L[C[:, 0], C[:, 1]] = Lt
# compute C^{geo}_{\theta}
SCZ = self.SC.compute(Z)
SC_cost = self.SC.cost(SCZ, SCX)
# compute C
L = L * SC_cost
# linear assignment
C = lapjv(L)[1]
# prior probability matrix
Pr = np.ones_like(PD) * (1.0 - epsilon) / N
Pr[np.arange(C.shape[0]), C] = 1.0
Pr = Pr / np.sum(Pr, axis=0)
tau = tau - delta
if tau < tau_min: tau = tau_min
# compute minimization
Po, P1, Np, tmp, Q = compute(X, Y, Z_old, Pr, sigma2, omega)
Q = Q + lambd / 2 * np.trace(np.dot(np.dot(A.transpose(), GRB), A))
# update variables
dP = np.diag(P1)
t1 = np.dot(dP, GRB) + lambd * sigma2 * np.eye(M)
t2 = np.dot(Po, X) - np.dot(dP, Y)
A = np.dot(np.linalg.inv(t1), t2)
sigma2 = tmp / (2.0 * Np)
omega = 1 - (Np / N)
if omega > 0.99: omega = 0.99
if omega < 0.01: omega = 0.01
Z = Y + np.dot(GRB, A)
lambd = lambd * 0.95
if lambd < 0.1: lambd = 0.1
dQ = Q - Q_old
itr = itr + 1
print('finish: itr %d, Q %d, tau %d' % (itr, Q, tau))
return ((X * 224.0) + 112.0) * Xscale, (
(Y * 224.0) + 112.0) * Yscale, ((Z * 224.0) + 112.0) * Xscale
class CNN5(object):
def __init__(self):
self.height = 224
self.width = 224
self.shape = np.array([224.0, 224.0])
self.sift_weight = 2.0
self.cnn_weight = 1.0
self.max_itr = 200
self.tolerance = 1e-2
self.freq = 5
self.epsilon = 0.5
self.omega = 0.5
self.beta = 2.0
self.lambd = 0.5
self.cnnph = tf.placeholder("float", [2, 224, 224, 3])
self.vgg = VGG16mo()
self.vgg.build(self.cnnph)
self.SC = ShapeContext()
def register(self, IX, IY):
# set parameters
tolerance = self.tolerance
freq = self.freq
epsilon = self.epsilon
omega = self.omega
beta = self.beta
lambd = self.lambd
# resize image
Xscale = 1.0 * np.array(IX.shape[:2]) / self.shape
Yscale = 1.0 * np.array(IY.shape[:2]) / self.shape
IX = cv2.resize(IX, (self.height, self.width))
IY = cv2.resize(IY, (self.height, self.width))
# CNN feature
start_time = time.time()
IX = np.expand_dims(IX, axis=0)
IY = np.expand_dims(IY, axis=0)
cnn_input = np.concatenate((IX, IY), axis=0)
with tf.Session() as sess:
feed_dict = {self.cnnph: cnn_input}
D = sess.run([self.vgg.pool5], feed_dict=feed_dict)[0]
# generate combined feature
seq = np.array([[i, j] for i in range(7) for j in range(7)],
dtype='int32')
DX = D[0, seq[:, 0], seq[:, 1]]
DY = D[1, seq[:, 0], seq[:, 1]]
X = np.array(seq, dtype='float32') * 32.0 + 16.0
Y = np.array(seq, dtype='float32') * 32.0 + 16.0
# normalize
DX = DX / np.std(DX)
DY = DY / np.std(DY)
X = (X - 112.0) / 224.0
Y = (Y - 112.0) / 224.0
# prematch and select points
PD = pairwise_distance(DX, DY)
C_all, quality = match(PD)
tau_max = np.max(quality)
while np.where(quality >= tau_max)[0].shape[0] <= 20:
tau_max -= 0.001
C = C_all[np.where(quality >= tau_max)]
X, Y = X[C[:, 1]], Y[C[:, 0]]
DX, DY = DX[C[:, 1]], DY[C[:, 0]]
SCX = self.SC.compute(X)
N = X.shape[0]
M = X.shape[0]
assert M == N
# feature match precalc
PD = pairwise_distance(DX, DY)
C_all, quality = match(PD)
tau_min = np.min(quality)
tau_max = np.max(quality)
while np.where(quality >= tau_max)[0].shape[0] <= 8:
tau_max -= 0.001
tau = tau_max
delta = (tau_max - tau_min) / 10.0
T = Y.copy()
GRB = gaussian_radial_basis(Y, beta)
A = np.zeros([M, 2])
sigma2 = init_sigma2(X, Y)
Pm = None
Q = 0
dQ = float('Inf')
itr = 1
# registration process
while itr < self.max_itr and abs(dQ) > tolerance and sigma2 > 1e-4:
T_old = T.copy()
Q_old = Q
# refine
if (itr - 1) % freq == 0:
C = C_all[np.where(quality >= tau)]
Lt = PD[C[:, 0], C[:, 1]]
maxLt = np.max(Lt)
if maxLt > 0: Lt = Lt / maxLt
L = np.ones([M, N])
L[C[:, 0], C[:, 1]] = Lt
SCT = self.SC.compute(T)
SC_cost = self.SC.cost(SCT, SCX)
L = L * SC_cost
C = lapjv(L)[1]
Pm = np.ones_like(PD) * (1.0 - epsilon) / N
Pm[np.arange(C.shape[0]), C] = 1.0
Pm = Pm / np.sum(Pm, axis=0)
tau = tau - delta
if tau < tau_min: tau = tau_min
# plt.gca().invert_yaxis()
# plt.scatter(T[:, 1], T[:, 0])
# plt.show()
# compute minimization
Po, P1, Np, tmp, Q = compute(X, Y, T_old, Pm, sigma2, omega)
Q = Q + lambd / 2 * np.trace(np.dot(np.dot(A.transpose(), GRB), A))
# update variables
dP = np.diag(P1)
t1 = np.dot(dP, GRB) + lambd * sigma2 * np.eye(M)
t2 = np.dot(Po, X) - np.dot(dP, Y)
A = np.dot(np.linalg.inv(t1), t2)
sigma2 = tmp / (2.0 * Np)
omega = 1 - (Np / N)
if omega > 0.99: omega = 0.99
if omega < 0.01: omega = 0.01
T = Y + np.dot(GRB, A)
lambd = lambd * 0.95
if lambd < 0.1: lambd = 0.1
dQ = Q - Q_old
itr = itr + 1
# print(itr, Q, tau)
print('finish: itr %d, Q %d, tau %d' % (itr, Q, tau))
return ((X * 224.0) + 112.0) * Xscale, (
(Y * 224.0) + 112.0) * Yscale, ((T * 224.0) + 112.0) * Xscale
class SIFT(object):
def __init__(self):
self.max_itr = 250
self.tolerance = 1e-3
self.freq = 5
self.epsilon = 0.7
self.omega = 0.3
self.beta = 2.0
self.lambd = 0.5
self.SIFT = cv2.xfeatures2d.SIFT_create()
self.SC = ShapeContext()
def register(self, IX, IY):
# set parameters
tolerance = self.tolerance
freq = self.freq
epsilon = self.epsilon
omega = self.omega
beta = self.beta
lambd = self.lambd
# SIFT
start_time = time.time()
IX_gray = cv2.cvtColor(IX, cv2.COLOR_BGR2GRAY)
IY_gray = cv2.cvtColor(IY, cv2.COLOR_BGR2GRAY)
XS0, DXS0 = self.SIFT.detectAndCompute(IX_gray, None)
YS0, DYS0 = self.SIFT.detectAndCompute(IY_gray, None)
XSPD = [(XS0[i], DXS0[i]) for i in range(len(XS0))
if XS0[i].response > 0.025]
YSPD = [(YS0[i], DYS0[i]) for i in range(len(YS0))
if YS0[i].response > 0.025]
XSPD.sort(key=lambda p: p[0].response, reverse=True)
YSPD.sort(key=lambda p: p[0].response, reverse=True)
XSPD = XSPD[:800]
YSPD = YSPD[:800]
XS = [t[0].pt for t in XSPD]
YS = [t[0].pt for t in YSPD]
DXS = [t[1] for t in XSPD]
DYS = [t[1] for t in YSPD]
XS, YS, DXS, DYS = np.array(XS), np.array(YS), np.array(DXS), np.array(
DYS)
XS = np.array([XS[:, 1], XS[:, 0]]).transpose()
YS = np.array([YS[:, 1], YS[:, 0]]).transpose()
# select points
PD = pairwise_distance(DXS, DYS)
C_all, quality = match(PD)
C = C_all[np.where(quality >= 1.15)]
X, Y = XS[C[:, 1], :], YS[C[:, 0], :]
DX, DY = DXS[C[:, 1], :], DYS[C[:, 0], :]
#normalize
X_shape = np.array(IX_gray.shape[:2], dtype='float32')
Y_shape = np.array(IY_gray.shape[:2], dtype='float32')
X_center = 0.5 * X_shape
Y_center = 0.5 * Y_shape
X = (X - X_center) / X_shape
Y = (Y - Y_center) / Y_shape
SCX = self.SC.compute(X)
N = X.shape[0]
M = Y.shape[0]
assert M == N
# prepare feature
PD = pairwise_distance(DX, DY)
C_all, quality = match(PD)
tau = 2.5
while tau > 1 and np.where(
quality >= tau)[0].shape[0] < 0.25 * quality.shape[0]:
tau -= 0.1
delta = (tau - 1.0) / 10.0
# registration process
T = Y.copy()
GRB = gaussian_radial_basis(Y, beta)
A = np.zeros([M, 2])
sigma2 = init_sigma2(X, Y)
Pm = None
Q = 0
dQ = float('Inf')
itr = 1
# registration process
while itr < self.max_itr and abs(dQ) > tolerance and sigma2 > 1e-4:
T_old = T.copy()
Q_old = Q
# refine
if (itr - 1) % freq == 0:
C = C_all[np.where(quality >= tau)]
Lt = PD[C[:, 0], C[:, 1]]
maxLt = np.max(Lt)
if maxLt > 0: Lt = Lt / maxLt
L = np.ones([M, N])
L[C[:, 0], C[:, 1]] = Lt
SCT = self.SC.compute(T)
SC_cost = self.SC.cost(SCT, SCX)
L = L * SC_cost
C = lapjv(L)[1]
Pm = np.ones_like(PD) * (1.0 - epsilon) / N
Pm[np.arange(C.shape[0]), C] = 1.0
Pm = Pm / np.sum(Pm, axis=0)
tau = tau - delta
if tau < 1: tau = 1
# plt.scatter(T[:, 0], T[:, 1])
# plt.show()
# compute minimization
Po, P1, Np, tmp, Q = compute(X, Y, T_old, Pm, sigma2, omega)
Q = Q + lambd / 2 * np.trace(np.dot(np.dot(A.transpose(), GRB), A))
# update variables
dP = np.diag(P1)
t1 = np.dot(dP, GRB) + lambd * sigma2 * np.eye(M)
t2 = np.dot(Po, X) - np.dot(dP, Y)
A = np.dot(np.linalg.inv(t1), t2)
sigma2 = tmp / (2.0 * Np)
omega = 1 - (Np / N)
if omega > 0.99: omega = 0.99
if omega < 0.01: omega = 0.01
T = Y + np.dot(GRB, A)
lambd = lambd * 0.95
if lambd < 0.1: lambd = 0.1
dQ = Q - Q_old
itr = itr + 1
# print(itr, Q, tau)
print('finish: itr %d, Q %d, tau %d' % (itr, Q, tau))
return X * X_shape + X_center, Y * Y_shape + Y_center, T * X_shape + X_center