Update find_boundaries with new modes

This commit is contained in:
Juan Nunez-Iglesias
2015-01-08 22:05:31 +11:00
parent d8555142da
commit ff1631c717
+106 -5
View File
@@ -6,7 +6,7 @@ from ..color import gray2rgb
from .._shared.utils import deprecated
def find_boundaries(label_img, connectivity=1):
def find_boundaries(label_img, connectivity=1, mode='thick', background=0):
"""Return bool array where boundaries between labeled regions are True.
Parameters
@@ -21,15 +21,116 @@ def find_boundaries(label_img, connectivity=1):
pixels sharing an edge (in 2D) or a face (in 3D) will be
considered neighbors. A connectivity of `label_img.ndim` means
pixels sharing a corner will be considered neighbors.
mode: string in {'thick', 'inner', 'outer', 'subpixel'}
How to mark the boundaries:
- thick: any pixel not completely surrounded by pixels of the
same label (defined by `connectivity`) is marked as a boundary.
This results in boundaries that are 2 pixels thick.
- inner: outline the pixels *just inside* of objects, leaving
background pixels untouched.
- outer: outline pixels in the background around object
boundaries. When two objects touch, their boundary is also
marked.
- subpixel: return a doubled image, with pixels *between* the
original pixels marked as boundary where appropriate.
background: int, optional
For modes 'inner' and 'outer', a definition of a background
label is required. See `mode` for descriptions of these two.
Returns
-------
boundaries : array of bool, same shape as `label_img`
A bool image where `True` represents a boundary pixel.
A bool image where ``True`` represents a boundary pixel. For
`mode` equal to 'subpixel', ``boundaries.shape[i]`` is equal
to ``2 * label_img.shape[i] - 1`` for all ``i`` (a pixel is
inserted in between all other pairs of pixels).
Examples
--------
>>> labels = np.array([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
... [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
... [0, 0, 0, 0, 0, 5, 5, 5, 0, 0],
... [0, 0, 1, 1, 1, 5, 5, 5, 0, 0],
... [0, 0, 1, 1, 1, 5, 5, 5, 0, 0],
... [0, 0, 1, 1, 1, 5, 5, 5, 0, 0],
... [0, 0, 0, 0, 0, 5, 5, 5, 0, 0],
... [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
... [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], dtype=np.uint8)
>>> find_boundaries(labels).astype(np.uint8) # display 1/0, not True/False
array([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 1, 1, 0, 0],
[0, 0, 1, 1, 1, 1, 1, 1, 1, 0],
[0, 1, 1, 1, 1, 1, 0, 1, 1, 0],
[0, 1, 1, 0, 1, 1, 0, 1, 1, 0],
[0, 1, 1, 1, 1, 1, 0, 1, 1, 0],
[0, 0, 1, 1, 1, 1, 1, 1, 1, 0],
[0, 0, 0, 0, 0, 1, 1, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], dtype=uint8)
>>> find_boundaries(labels, mode='inner').astype(np.uint8)
array([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 1, 1, 0, 0],
[0, 0, 1, 1, 1, 1, 0, 1, 0, 0],
[0, 0, 1, 0, 1, 1, 0, 1, 0, 0],
[0, 0, 1, 1, 1, 1, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 1, 1, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], dtype=uint8)
>>> find_boundaries(labels, mode='outer').astype(np.uint8)
array([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 1, 1, 0, 0],
[0, 0, 1, 1, 1, 1, 0, 0, 1, 0],
[0, 1, 0, 0, 1, 1, 0, 0, 1, 0],
[0, 1, 0, 0, 1, 1, 0, 0, 1, 0],
[0, 1, 0, 0, 1, 1, 0, 0, 1, 0],
[0, 0, 1, 1, 1, 1, 0, 0, 1, 0],
[0, 0, 0, 0, 0, 1, 1, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], dtype=uint8)
>>> find_boundaries(labels, mode='subpixel').astype(np.uint8)
array([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], dtype=uint8)
"""
selem = nd.generate_binary_structure(label_img.ndim, connectivity)
boundaries = dilation(label_img, selem) != erosion(label_img, selem)
return boundaries
ndim = label_img.ndim
selem = nd.generate_binary_structure(ndim, connectivity)
if mode != 'subpixel':
boundaries = dilation(label_img, selem) != erosion(label_img, selem)
if mode == 'inner':
foreground_image = (label_img != background)
boundaries &= foreground_image
elif mode == 'outer':
background_image = (label_img == background)
selem = nd.generate_binary_structure(ndim, ndim)
no_adjacent_background = ~dilation(background_image, selem)
boundaries &= (background_image | no_adjacent_background)
return boundaries
else:
label_img_expanded = np.zeros([(2 * s - 1) for s in label_img.shape],
label_img.dtype)
pixels = [slice(None, None, 2)] * ndim
selem = nd.generate_binary_structure(ndim, ndim)
label_img_expanded[pixels] = label_img
max_label = np.iinfo(label_img.dtype).max
label_img_edge_inverted = np.array(label_img_expanded, copy=True)
label_img_edge_inverted[label_img_expanded == 0] = max_label
boundaries = (dilation(label_img_expanded, selem) !=
erosion(label_img_edge_inverted, selem))
return boundaries
def mark_boundaries(image, label_img, color=(1, 1, 0),