Esempio n. 1
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def fun_estrella_cil_vol(tam_base):
    aux = morphology.star(tam_base[0] / 3)
    tam_aux = aux.shape
    Salida_Base = np.zeros((tam_aux[0], tam_aux[1], tam_base[2]))
    # Slice-wise drawing
    for i in range(0, tam_base[2] - 1):
        Salida_Base[:, :, i] = morphology.star(tam_base[0] / 3)
    return Salida_Base
Esempio n. 2
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def _star_kernel(m, n):
    c = m + m // 2 - n - n // 2
    outer_star = star(m)
    inner_star = np.zeros_like(outer_star)
    inner_star[c: -c, c: -c] = star(n)
    outer_weight = 1.0 / (np.sum(outer_star - inner_star))
    inner_weight = 1.0 / np.sum(inner_star)
    bfilter = (outer_weight * outer_star -
               (outer_weight + inner_weight) * inner_star)
    return bfilter
Esempio n. 3
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def _star_kernel(m, n):
    c = m + m // 2 - n - n // 2
    outer_star = star(m)
    inner_star = np.zeros_like(outer_star)
    inner_star[c:-c, c:-c] = star(n)
    outer_weight = 1.0 / (np.sum(outer_star - inner_star))
    inner_weight = 1.0 / np.sum(inner_star)
    bfilter = (outer_weight * outer_star -
               (outer_weight + inner_weight) * inner_star)
    return bfilter
Esempio n. 4
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def fun_estrella_rot_vol(tam_base):
    aux = morphology.star(tam_base / 3)
    tam_aux = aux.shape
    Salida_Base = np.zeros((tam_aux[0], tam_aux[0], tam_aux[0]))
    # I create a star in the center of the volume, wich must be a cube
    Salida_Base[:, :, tam_base / 2] = morphology.star(tam_base / 3)
    Salida_aux = Salida_Base
    # Now I rotate it over its X axis
    for i in range(0, 360, 1):
        Salida_Base = Salida_Base + fun_rotar_vol(Salida_aux, 0, i, 0)
    # Saturate output...
    Salida_Base[np.where(Salida_Base > 1)] = 1
    return Salida_Base
Esempio n. 5
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    def _threshold_downsample_lvl(self, lvl_img):
        """Generates thresholded overview image.
              
        Args: 
            wsi: An openslide image instance.

        Returns:
            A 2D numpy array of binary image
        """

        # calculate the overview level size and retrieve the image
        downsample_img = lvl_img.convert('HSV')
        downsample_img = np.array(downsample_img)

        # dilate image and then threshold the image
        schannel = downsample_img[:, :, 1]
        schannel = dilation(schannel, star(3))
        schannel = ndimage.gaussian_filter(schannel, sigma=(5, 5), order=0)
        threshold_global = threshold_otsu(schannel)

        schannel[schannel > threshold_global] = 255
        schannel[schannel <= threshold_global] = 0

        #import scipy.misc   # check the result
        #scipy.misc.imsave('outfile.jpg', schannel)

        return schannel
Esempio n. 6
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    def erosion(self):
        image = self.image
        se = star(5)
        ero = morphology.erosion(image, se)

        self.plotResult(ero, 'Erosion')
        cv2.imwrite('./Results/{}-erosion-star5.png'.format(self.name_file), ero)
Esempio n. 7
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def starMask(maskImg, star_size):
    boxsize = maskImg.get_xsize()
    maskArray = EMNumPy.em2numpy(maskImg)
    
    if (boxsize <= star_size):
        print "ERROR: star size is larger than the boxsize of particles."
        sys.exit()
        
    #from skimage.morphology import star
    #Generates a star shaped structuring element that has 8 vertices and is an overlap of square of size 2*a + 1 with its 45 degree rotated version.
    #The slanted sides are 45 or 135 degrees to the horizontal axis.
    starArray = star(star_size, dtype=np.uint8)
    m, n = starArray.shape
    assert m==n
    
    if (m%2 == 0):
        pad_before = (boxsize - m)/2
        pad_after = (boxsize - m)/2
    else:
        pad_before = (boxsize - m)/2
        pad_after = (boxsize - m)/2+1
    
    starArrayPad = np.pad(starArray, (pad_before, pad_after), mode='constant')
    starImg = EMNumPy.numpy2em(starArrayPad)
    return starImg
    def _threshold_downsample_level(self, img):
        """Generates thresholded overview image.

        Args:
            wsi: An openslide image instance.

        Returns:
            A 2D numpy array of binary image
        """

        # calculate the overview level size and retrieve the image
        img_hsv = img.convert('HSV')
        img_hsv_np = np.array(img_hsv)

        # dilate image and then threshold the image
        schannel = img_hsv_np[:, :, 1]
        mask = np.zeros(schannel.shape)
        schannel = dilation(schannel, star(3))
        schannel = ndimage.gaussian_filter(schannel, sigma=(5, 5), order=0)
        threshold_global = threshold_otsu(schannel)

        # schannel[schannel > threshold_global] = 255
        # schannel[schannel <= threshold_global] = 0
        mask[schannel > threshold_global] = SELECTED
        mask[schannel <= threshold_global] = BACKGROUND

        # import scipy.misc   # check the result
        # scipy.misc.imsave('outfile.jpg', schannel)

        return mask
Esempio n. 9
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def create_mask(img):
    mask = cv2.cvtColor(img, cv2.COLOR_BGR2GRAY)
    mask = normalize(mask, 0.28, 98)
    mask[mask[:, :] > 0.0] = 1
    mask = erosion(mask, star(9))
    mask = erosion(mask, disk(9))
    return invert(mask)
Esempio n. 10
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def seg(img):
    img_np = np.asarray(img)
    img_np_g = img_np[:, :, 1]
    shape = img_np_g.shape
    mask = np.ones(shape).astype(np.uint8)
    searched = np.zeros((shape)).astype(np.uint8)
    coor = []
    init_val = 0

    def inRange(val):
        return val >= init_val - 10 and val <= init_val + 10

    def addSeed_initVal():
        sums = 0
        for idx in range(shape[0]):
            coor.append({'x': idx, 'y': 0})
            searched[idx, 0] = 1
            sums += img_np_g[idx, 0]
        return sums / shape[0]

    def isPixel(x, y):
        return (x >= 0 and x < shape[0]) and (y >= 0 and y < shape[1])

    def deal(x, y):
        if isPixel(x, y) and not searched[x, y] and inRange(img_np_g[x, y]):
            coor.append({'x': x, 'y': y})
            searched[x, y] = 1
            mask[x, y] = 0

    init_val = addSeed_initVal()
    print('init val: %d' % init_val)

    while coor != []:
        x = coor[0]['x']
        y = coor[0]['y']
        if x == 0: deal(x, y)
        del coor[0]
        deal(x + 1, y)
        deal(x, y + 1)
        deal(x - 1, y)
        deal(x, y - 1)

    mask = opening(mask, star(5))
    mask = erosion(mask, star(3))
    return mask
Esempio n. 11
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def Dilation(img, dil=1, device=None):
    bs = img.shape[0]
    img = img.detach().cpu().numpy()
    img_dil = np.zeros_like(img)

    for i in range(bs):
        img_dil[i, 0] = binary_dilation(img[i, 0], selem=star(dil))

    return torch.tensor(img_dil).to(device) if device else torch.tensor(
        img_dil)
Esempio n. 12
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def threshold_segmentation(img):
    # calculate the overview level size and retrieve the image
    img_hsv = img.convert('HSV')
    img_hsv_np = np.array(img_hsv)

    # dilate image and then threshold the image
    schannel = img_hsv_np[:, :, 1]
    mask = np.zeros(schannel.shape)

    schannel = dilation(schannel, star(3))
    schannel = ndimage.gaussian_filter(schannel, sigma=(5, 5), order=0)
    threshold_global = threshold_otsu(schannel)

    mask[schannel > threshold_global] = FOREGROUND
    mask[schannel <= threshold_global] = BACKGROUND

    return mask
Esempio n. 13
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def objects():
    from skimage.morphology import (square, rectangle, diamond, disk, cube,
                                    octahedron, ball, octagon, star)
    from mpl_toolkits.mplot3d import Axes3D
    # Generate 2D and 3D structuring elements.
    struc_2d = {
        "square(15)": square(15),
        "rectangle(15, 10)": rectangle(15, 10),
        "diamond(7)": diamond(7),
        "disk(7)": disk(7),
        "octagon(7, 4)": octagon(7, 4),
        "star(5)": star(5)
    }

    struc_3d = {
        "cube(11)": cube(11),
        "octahedron(5)": octahedron(5),
        "ball(5)": ball(5)
    }

    # Visualize the elements.
    fig = plt.figure(figsize=(8, 8))

    idx = 1
    for title, struc in struc_2d.items():
        ax = fig.add_subplot(3, 3, idx)
        ax.imshow(struc, cmap="Paired", vmin=0, vmax=12)
        for i in range(struc.shape[0]):
            for j in range(struc.shape[1]):
                ax.text(j, i, struc[i, j], ha="center", va="center", color="w")
        ax.set_axis_off()
        ax.set_title(title)
        idx += 1

    for title, struc in struc_3d.items():
        ax = fig.add_subplot(3, 3, idx, projection=Axes3D.name)
        ax.voxels(struc)
        ax.set_title(title)
        idx += 1

    fig.tight_layout()
    plt.show()
Esempio n. 14
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    def se(self):

        fig = plt.figure(figsize=(10, 5))
        a = fig.add_subplot(1, 3, 1)
        plt.imshow(disk(5), cmap=plt.cm.gray)
        a.set_title('Disk 5px ')
        plt.axis('off')

        a = fig.add_subplot(1, 3, 2)
        plt.imshow(square(5), cmap=plt.cm.gray)
        a.set_title('Square 5px')
        plt.axis('off')

        a = fig.add_subplot(1, 3, 3)
        plt.imshow(star(5), cmap=plt.cm.gray)
        a.set_title('Star 5px')
        plt.axis('off')

        plt.tight_layout()
        plt.savefig('./Results/se.png')
        plt.show()
def task1():
    img = mimg.imread("bw1.bmp")

    new_img1 = binary_erosion(img, selem=square(width=30))
    new_img2 = binary_erosion(img, selem=rectangle(width=30, height=20))
    new_img3 = binary_erosion(img, selem=diamond(radius=5))
    new_img4 = binary_erosion(img, selem=disk(radius=15))
    new_img5 = binary_erosion(img, selem=star(a=10))
    new_img6 = binary_erosion(img, selem=octagon(m=10, n=20))
    new_img7 = binary_dilation(img, )

    fig, ax = plt.subplots(1, 8)
    show(ax[0], img, "original")
    show(ax[1], new_img1, "BE square")
    show(ax[2], new_img2, "BE rectangle")
    show(ax[3], new_img3, "BE diamond")
    show(ax[4], new_img4, "BE disk")
    show(ax[5], new_img5, "BE star")
    show(ax[6], new_img6, "BE octagon")
    show(ax[7], new_img2, "binary_dilation")
    plt.show()
Esempio n. 16
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    def __init__(self,
                 images_dir,
                 masks_dir,
                 img_transform,
                 mask_transform,
                 test=False,
                 sample_size=(1024, 1024),
                 dil=star(0),
                 inv=False,
                 preprocessing_fn=None):

        self.images_dir = images_dir
        self.masks_dir = masks_dir
        self.images_titles = sorted(os.listdir(self.images_dir))
        self.masks_titles = sorted(os.listdir(self.masks_dir))
        self.img_transform = img_transform
        self.mask_transform = mask_transform
        self.preprocessing_fn = preprocessing_fn
        self.sample_size = sample_size
        self.test = test
        self.dil = dil
        self.inv = inv
Esempio n. 17
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def generate_labels(mask_gt, mask_p, sigma=0.5, tr=1):

    '''
    Generate labels for discriminator input
    '''
    
    gt_dil = binary_dilation(mask_gt,selem=star(1))
    skel_gt = make_skeleton(mask_gt, sigma=sigma, tr=tr)
    T_0 = gt_dil * mask_p

    labels0 = torch.zeros((8,8))
    for i in range(8):
        for j in range(8):
            prop_patch = T_0[i*32:(i+1)*32, j*32:(j+1)*32]
            patch = np.array(skel_gt[i*32:(i+1)*32, j*32:(j+1)*32], dtype=np.uint8)
            paths = find_paths(patch)
            labels0[i,j] = assing_label(prop_patch, paths)

    labels = [labels0]
    for i in range(3):
        labels.append(generate_sublabels(labels[-1]))

    return labels
Esempio n. 18
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def binarize_image(image):

    edges = canny(image/255., sigma=0.001)
    fullim = closing(edges, selem=star(1))
    filled_im = binary_fill_holes(fullim)
    clean_im2 = remove_small_objects(filled_im, min_size=350)

    # implementation of watershed
    padw = 150
    cleanpad = pad(clean_im2, ((padw, padw),), mode='constant')
    distance = ndi.distance_transform_edt(cleanpad)
    local_maxi = peak_local_max(distance, indices=False,
                                footprint=np.ones((90, 90)),
                                labels=cleanpad)
    markers = ndi.label(local_maxi)[0]
    labels = watershed(-distance, markers, mask=cleanpad)
    labels = labels[padw:-padw, padw:-padw]

    label_edge = scharr(labels)
    label_edge = label_edge < 0.0000000000001
    split_cells = np.logical_and(label_edge, clean_im2)
    split_cells = remove_small_objects(split_cells, min_size=350)

    return split_cells
Esempio n. 19
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def find_objects(imgs, masks, filenames):
    for i, img in enumerate(imgs):
        temp = rgb2gray(img)

        edges = canny(temp, mask=masks[i], sigma=2)

        labeled_image, num_labels = label(edges, return_num=True)
        remove_obj = remove_small_objects(labeled_image)
        boundaries = find_boundaries(remove_obj)
        temp = ndi.binary_closing(boundaries, star(1))
        temp = ndi.binary_fill_holes(temp)
        labeled_image, num_labels = label(temp, return_num=True)
        remove_obj = remove_small_objects(labeled_image, 1000)
        remove_obj, num_labels = label(remove_obj, return_num=True)
        regions = regionprops(remove_obj)

        remove_obj = ndi.binary_erosion(remove_obj, square(2))
        remove_obj = ndi.binary_erosion(remove_obj, disk(2))

        # additional removing for case, when small object were receive after erosion
        remove_obj = remove_small_objects(remove_obj, 1000)
        remove_obj, num_labels = label(remove_obj, return_num=True)

        contours = find_contours(remove_obj, 0.9, fully_connected='high')
        # Display the image and plot all contours found
        fig, ax = plt.subplots()
        ax.imshow(imgs[i], interpolation='nearest', cmap=plt.cm.gray)

        for n, contour in enumerate(contours):
            ax.plot(contour[:, 1], contour[:, 0], linewidth=1)

            compact_value = regions[n].area / (regions[n].perimeter)**2
            if compact_value > 0.07 and regions[n].solidity > 0.985:
                continue
            if compact_value > 0.06 and regions[
                    n].solidity > 0.985 and regions[n].eccentricity > 0.8:
                continue

            if regions[n].solidity > 0.95:
                added_text = 'C'
                tolerance_value = 7
            else:
                added_text = ''
                tolerance_value = 5.5
            res = approximate_polygon(contour, tolerance=tolerance_value)
            text = 'P' + str(len(res) - 1) + added_text

            coords = regions[n].centroid
            ax.text(coords[1] - 10,
                    coords[0] - 10,
                    text,
                    style='italic',
                    color='red',
                    fontsize=8,
                    bbox={
                        'facecolor': 'white',
                        'alpha': 0.5,
                        'pad': 3
                    })

            ax.plot(res[:, 1], res[:, 0], linewidth=2)

        out_filename = filenames[i][:-4] + '_out.png'
        fig.savefig(out_filename)
        ax.axis('image')
        ax.set_xticks([])
        ax.set_yticks([])
        plt.show()
Esempio n. 20
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    128, 192, 0, 128, 64, 128, 128, 192, 128, 128, 0, 64, 0, 128, 64, 0, 0,
    192, 0, 128, 192, 0, 0, 64, 128
]

zero_pad = 256 * 3 - len(palette)
for i in range(zero_pad):
    palette.append(0)

selems = [
    sm.square(7),
    sm.square(15),
    sm.square(23),
    sm.disk(7),
    sm.disk(15),
    sm.disk(23),
    sm.star(7),
    sm.star(15),
    sm.star(23)
]


def colorize_mask(mask):
    # mask: numpy array of the mask
    new_mask = Image.fromarray(mask.astype(np.uint8)).convert('P')
    new_mask.putpalette(palette)

    return new_mask


def make_dataset(mode):
    assert mode in ['train', 'val', 'test']
Esempio n. 21
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from skimage.morphology import binary_erosion, binary_dilation, binary_opening, binary_closing, square, rectangle, disk, star
from skimage import io
import matplotlib.pyplot as plt

path = "images/lab5/bw2.bmp"

image = io.imread(path)

openingBin = []
closingBin = []
opening = []
closing = []
salems = [square(5), rectangle(3, 5), disk(3), star(3)]

for i in range(4):
    # binary_opening
    # binary_closing
    openingBin.insert(i, binary_opening(image, salems[i]))
    closingBin.insert(i, binary_closing(openingBin[i], salems[i]))
    # opening
    # closing
    newImage = binary_erosion(image, salems[i])
    newImage = binary_dilation(newImage, salems[i])
    opening.insert(i, newImage)

    newImage = binary_dilation(opening[i], salems[i])
    newImage = binary_erosion(newImage, salems[i])
    closing.insert(i, newImage)

    plt.gray()
Esempio n. 22
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def create_mask(img):
    img = cv2.cvtColor(img, cv2.COLOR_BGR2GRAY)
    img = normalize(img)
    img = contrast(img, 0.0)
    img = erosion(img, star(3))
    return invert(img)
Esempio n. 23
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tamaño = 10
img = imread('circunferencias.png')
noisy_image = rgb2gray(img)
binaria = 0.25 <= noisy_image
binaria = ~binaria

# Erosion y dilatación
if opcion == 0:
    erosionada = erosion(binaria, disk(tamaño))
    imagen_final = dilation(erosionada, disk(tamaño))
if opcion == 1:
    erosionada = erosion(binaria, octagon(tamaño, int(tamaño / 2)))
    imagen_final = dilation(erosionada, octagon(tamaño, int(tamaño / 2)))
if opcion == 2:
    erosionada = erosion(binaria, square(tamaño))
    imagen_final = dilation(erosionada, square(tamaño))
if opcion == 3:
    erosionada = erosion(binaria, star(tamaño))
    imagen_final = dilation(erosionada, star(tamaño))

#Gaurdado de imagenes
plt.imshow(binaria, cmap='gray', vmin=0, vmax=1)
plt.title('Binaria')
plt.show()
plt.imshow(erosionada, cmap='gray', vmin=0, vmax=1)
plt.title('Tratada')
plt.show()
plt.imshow(imagen_final, cmap='gray', vmin=0, vmax=1)
plt.title('Tratada')
plt.show()
cv2.imwrite('imagen.png', imagen_final)
Esempio n. 24
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                      max(0, y - box_size):y + box_size,
                      max(0, x - box_size):x + box_size])  #copy is critical
    out[out != val] = 0
    return out.astype('uint8')


if __name__ == '__main__':

    #goal is to generate noise, ask if objects are linear or spherical and exclude based on some feature
    dims = (1, 500, 500, 500)

    #choice of obejct
    selem = ball(9)
    selem = cube(9)
    selem = cylinder(9, 9)
    selem = np.asarray([star(9) for xx in range(9)])

    #dilate
    src = dilate_with_element(
        generate_random_points(dims, numpoints=20)[0], selem)
    lbl = ndi.label(src)
    centers = ndi.measurements.center_of_mass(src, lbl[0],
                                              range(1, lbl[1] + 1))
    plt.imshow(np.max(src, 0))
    plt.imshow(np.max(lbl[0], 0))

    ##
    lbl_vol = np.copy(lbl[0])
    lbl_vol[lbl[0] > 0] = 1
    sitk.Show(sitk.GetImageFromArray(lbl_vol))
import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D

from skimage.morphology import (square, rectangle, diamond, disk, cube,
                                octahedron, ball, octagon, star)

# Generate 2D and 3D structuring elements.
struc_2d = {
    "square(15)": square(15),
    "rectangle(15, 10)": rectangle(15, 10),
    "diamond(7)": diamond(7),
    "disk(7)": disk(7),
    "octagon(7, 4)": octagon(7, 4),
    "star(5)": star(5)
}

struc_3d = {
    "cube(11)": cube(11),
    "octahedron(5)": octahedron(5),
    "ball(5)": ball(5)
}

# Visualize the elements.
fig = plt.figure(figsize=(8, 8))

idx = 1
for title, struc in struc_2d.items():
    ax = fig.add_subplot(3, 3, idx)
    ax.imshow(struc, cmap="Paired", vmin=0, vmax=12)
Esempio n. 26
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    def dilation(self):
        image = self.image
        se = star(5)
        dil = morphology.dilation(image, se)

        self.plotResult(dil, 'Dilation')
Esempio n. 27
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 def element(self) -> np.array:
     return morphology.star(self.a)
Esempio n. 28
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    plt.imshow(np.hstack([255 - img, 255 - img_e, 255 - img_d]), cmap='gray')
    plt.title(
        "disk(5), iteration: " + str(i + 1), {
            'fontsize': 28,
            'fontweight': 'bold',
            'verticalalignment': 'baseline',
            'horizontalalignment': 'center'
        })

    plt.axis('off')
    plt.show()

img_e = img.copy()
img_d = img.copy()
for i in range(0, 3):
    img_e = erosion(img_e.copy(), star(5))
    img_d = dilation(img_d.copy(), star(5))
    plt.imshow(np.hstack([255 - img, 255 - img_e, 255 - img_d]), cmap='gray')
    plt.title(
        "star(5), iteration: " + str(i + 1), {
            'fontsize': 28,
            'fontweight': 'bold',
            'verticalalignment': 'baseline',
            'horizontalalignment': 'center'
        })
    plt.axis('off')
    plt.show()

img_e = img.copy()
img_d = img.copy()
for i in range(0, 3):
Esempio n. 29
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    def _seg_dfs(self, img):
        img_np = np.asarray(img)
        img_np_g = img_np[:, :, 1]
        shape = img_np_g.shape
        mask = np.ones(shape).astype(np.uint8) * SELECTED
        searched = np.zeros((shape)).astype(np.bool)
        coor = []
        init_val = 0

        def inRange(val):
            return val >= init_val - 10 and val <= init_val + 10

        def addSeed_initVal():
            val1 = img_np_g[:, 0].mean()
            val2 = img_np_g[0, :].mean()
            val3 = img_np_g[:, shape[1]-1].mean()
            val4 = img_np_g[shape[0]-1, 0].mean()
            val = np.max((val1, val2, val3, val4))
            for idx in range(shape[0]):
                # L
                coor.append({'x': idx, 'y': 0})
                searched[idx, 0] = True
                # R
                coor.append({'x': idx, 'y': shape[1]-1})
                searched[idx, shape[1]-1] = True
            for idx in range(shape[1]):
                # U
                coor.append({'x': 0, 'y': idx})
                searched[0, idx] = True
                # D
                coor.append({'x': shape[0]-1, 'y': idx})
                searched[shape[0]-1, idx] = True
            return val

        def isPixel(x, y):
            return (x >= 0 and x < shape[0]) and (y >= 0 and y < shape[1])

        def deal(x, y):
            if isPixel(x, y) and not searched[x, y] and inRange(img_np_g[x, y]):
                coor.append({'x': x, 'y': y})
                searched[x, y] = True
                mask[x, y] = BACKGROUND

        init_val = addSeed_initVal()
        # print('init val: %d' % init_val)

        while coor != []:
            x = coor[0]['x']
            y = coor[0]['y']
            if x == 0 or y == 0\
                or x == shape[0]-1 or y == shape[1]-1:
                deal(x, y)
            del coor[0]
            deal(x + 1, y)
            deal(x, y + 1)
            deal(x - 1, y)
            deal(x, y - 1)

        mask = opening(mask, star(5))
        # mask = erosion(mask, star(3))
        mask = dilation(mask, star(3))
        return mask
img = sk.io.imread('teeth.jpg', True)
grey = img.copy()
img_t = cv2.threshold(255*grey, 160, 170, cv2.THRESH_BINARY_INV)[1]
img_tmp  = 255 -img_t
plt.axis('off')
plt.imshow(img_tmp, cmap='gray')
plt.show()
img_e = binary_dilation(img_t, rectangle(2,3))
img_tmp  = 255- 255*img_e 
plt.imshow(img_tmp, cmap='gray')
plt.show()
img_e = binary_closing(img_e, rectangle(8,2))
img_tmp  = 255- 255*img_e 
plt.imshow(img_tmp, cmap='gray')
plt.show()
img_e = binary_dilation(img_e, octagon(10,2))
img_tmp  = 255- 255*img_e 
plt.imshow(img_tmp, cmap='gray')
plt.show()

img_e = binary_dilation(img_e, star(8))
img_tmp  = 255- 255*img_e 
plt.imshow(img_tmp, cmap='gray')
plt.show()
for i in range(3):
    img_e = binary_erosion(img_e, star(3 + i))
img_e  = 255- 255*img_e 
plt.imshow(img_e, cmap='gray')
plt.axis('off')
plt.show()