from __future__ import division, print_function, absolute_import import numpy as np from ..util import img_as_ubyte from ._skeletonize_3d_cy import _compute_thin_image def skeletonize_3d(img): """Compute the skeleton of a binary image. Thinning is used to reduce each connected component in a binary image to a single-pixel wide skeleton. Parameters ---------- img : ndarray, 2D or 3D A binary image containing the objects to be skeletonized. Zeros represent background, nonzero values are foreground. Returns ------- skeleton : ndarray The thinned image. See also -------- skeletonize, medial_axis Notes ----- The method of [Lee94]_ uses an octree data structure to examine a 3x3x3 neighborhood of a pixel. The algorithm proceeds by iteratively sweeping over the image, and removing pixels at each iteration until the image stops changing. Each iteration consists of two steps: first, a list of candidates for removal is assembled; then pixels from this list are rechecked sequentially, to better preserve connectivity of the image. The algorithm this function implements is different from the algorithms used by either `skeletonize` or `medial_axis`, thus for 2D images the results produced by this function are generally different. References ---------- .. [Lee94] T.-C. Lee, R.L. Kashyap and C.-N. Chu, Building skeleton models via 3-D medial surface/axis thinning algorithms. Computer Vision, Graphics, and Image Processing, 56(6):462-478, 1994. """ # make sure the image is 3D or 2D (if it is, temporarily upcast to 3D) if img.ndim < 2 or img.ndim > 3: raise ValueError('expect 2D, got ndim = %s' % img.ndim) img = np.ascontiguousarray(img) img = img_as_ubyte(img, force_copy=False) # make an in image 3D pad w/ zeros to simplify dealing w/ boundaries # NB: careful to not clobber the original *and* minimize copying if img.ndim == 2: if img.shape[0] == 1 or img.shape[1] == 1: # nothing to do, image is already thin. Bail out. return img.copy() img_o = np.pad(img[None, ...], pad_width=1, mode='constant') else: img_o = np.pad(img, pad_width=1, mode='constant') # normalize to binary maxval = img_o.max() img_o[img_o != 0] = 1 # do the computation img_o = np.asarray(_compute_thin_image(img_o)) # clip it back and restore the original intensity range img_o = img_o[1:-1, 1:-1, 1:-1] img_o = img_o.squeeze() img_o *= maxval return img_o