import warnings import numpy as np from scipy import ndimage def binary_erosion(image, selem, out=None): """Return fast binary morphological erosion of an image. This function returns the same result as greyscale erosion but performs faster for binary images. Morphological erosion sets a pixel at ``(i,j)`` to the minimum over all pixels in the neighborhood centered at ``(i,j)``. Erosion shrinks bright regions and enlarges dark regions. Parameters ---------- image : ndarray Binary input image. selem : ndarray The neighborhood expressed as a 2-D array of 1's and 0's. out : ndarray of bool The array to store the result of the morphology. If None is passed, a new array will be allocated. Returns ------- eroded : ndarray of bool or uint The result of the morphological erosion with values in ``[0, 1]``. """ selem = (selem != 0) selem_sum = np.sum(selem) if selem_sum <= 255: conv = np.empty_like(image, dtype=np.uint8) else: conv = np.empty_like(image, dtype=np.uint) binary = (image > 0).view(np.uint8) ndimage.convolve(binary, selem, mode='constant', cval=1, output=conv) if out is None: out = conv return np.equal(conv, selem_sum, out=out) def binary_dilation(image, selem, out=None): """Return fast binary morphological dilation of an image. This function returns the same result as greyscale dilation but performs faster for binary images. Morphological dilation sets a pixel at ``(i,j)`` to the maximum over all pixels in the neighborhood centered at ``(i,j)``. Dilation enlarges bright regions and shrinks dark regions. Parameters ---------- image : ndarray Binary input image. selem : ndarray The neighborhood expressed as a 2-D array of 1's and 0's. out : ndarray of bool The array to store the result of the morphology. If None, is passed, a new array will be allocated. Returns ------- dilated : ndarray of bool or uint The result of the morphological dilation with values in ``[0, 1]``. """ selem = (selem != 0) if np.sum(selem) <= 255: conv = np.empty_like(image, dtype=np.uint8) else: conv = np.empty_like(image, dtype=np.uint) binary = (image > 0).view(np.uint8) ndimage.convolve(binary, selem, mode='constant', cval=0, output=conv) if out is None: out = conv return np.not_equal(conv, 0, out=out) def binary_opening(image, selem, out=None): """Return fast binary morphological opening of an image. This function returns the same result as greyscale opening but performs faster for binary images. The morphological opening on an image is defined as an erosion followed by a dilation. Opening can remove small bright spots (i.e. "salt") and connect small dark cracks. This tends to "open" up (dark) gaps between (bright) features. Parameters ---------- image : ndarray Binary input image. selem : ndarray The neighborhood expressed as a 2-D array of 1's and 0's. out : ndarray of bool The array to store the result of the morphology. If None is passed, a new array will be allocated. Returns ------- opening : ndarray of bool The result of the morphological opening. """ eroded = binary_erosion(image, selem) out = binary_dilation(eroded, selem, out=out) return out def binary_closing(image, selem, out=None): """Return fast binary morphological closing of an image. This function returns the same result as greyscale closing but performs faster for binary images. The morphological closing on an image is defined as a dilation followed by an erosion. Closing can remove small dark spots (i.e. "pepper") and connect small bright cracks. This tends to "close" up (dark) gaps between (bright) features. Parameters ---------- image : ndarray Binary input image. selem : ndarray The neighborhood expressed as a 2-D array of 1's and 0's. out : ndarray of bool The array to store the result of the morphology. If None, is passed, a new array will be allocated. Returns ------- closing : ndarray of bool The result of the morphological closing. """ dilated = binary_dilation(image, selem) out = binary_erosion(dilated, selem, out=out) return out