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| """ | |
| Binary morphological operations | |
| """ | |
| import warnings | |
| import numpy as np | |
| from scipy import ndimage as ndi | |
| from .footprints import _footprint_is_sequence, pad_footprint | |
| from .misc import default_footprint | |
| from .._shared.utils import deprecate_func | |
| def _iterate_binary_func(binary_func, image, footprint, out, border_value): | |
| """Helper to call `binary_func` for each footprint in a sequence. | |
| binary_func is a binary morphology function that accepts "structure", | |
| "output" and "iterations" keyword arguments | |
| (e.g. `scipy.ndimage.binary_erosion`). | |
| """ | |
| fp, num_iter = footprint[0] | |
| binary_func( | |
| image, structure=fp, output=out, iterations=num_iter, border_value=border_value | |
| ) | |
| for fp, num_iter in footprint[1:]: | |
| # Note: out.copy() because the computation cannot be in-place! | |
| # SciPy <= 1.7 did not automatically make a copy if needed. | |
| binary_func( | |
| out.copy(), | |
| structure=fp, | |
| output=out, | |
| iterations=num_iter, | |
| border_value=border_value, | |
| ) | |
| return out | |
| # The default_footprint decorator provides a diamond footprint as | |
| # default with the same dimension as the input image and size 3 along each | |
| # axis. | |
| def binary_erosion(image, footprint=None, out=None, *, mode='ignore'): | |
| """Return fast binary morphological erosion of an image. | |
| This function returns the same result as grayscale 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. | |
| footprint : ndarray or tuple, optional | |
| The neighborhood expressed as a 2-D array of 1's and 0's. | |
| If None, use a cross-shaped footprint (connectivity=1). The footprint | |
| can also be provided as a sequence of smaller footprints as described | |
| in the notes below. | |
| out : ndarray of bool, optional | |
| The array to store the result of the morphology. If None is | |
| passed, a new array will be allocated. | |
| mode : str, optional | |
| The `mode` parameter determines how the array borders are handled. | |
| Valid modes are: 'max', 'min', 'ignore'. | |
| If 'max' or 'ignore', pixels outside the image domain are assumed | |
| to be `True`, which causes them to not influence the result. | |
| Default is 'ignore'. | |
| .. versionadded:: 0.23 | |
| `mode` was added in 0.23. | |
| Returns | |
| ------- | |
| eroded : ndarray of bool or uint | |
| The result of the morphological erosion taking values in | |
| ``[False, True]``. | |
| Notes | |
| ----- | |
| The footprint can also be a provided as a sequence of 2-tuples where the | |
| first element of each 2-tuple is a footprint ndarray and the second element | |
| is an integer describing the number of times it should be iterated. For | |
| example ``footprint=[(np.ones((9, 1)), 1), (np.ones((1, 9)), 1)]`` | |
| would apply a 9x1 footprint followed by a 1x9 footprint resulting in a net | |
| effect that is the same as ``footprint=np.ones((9, 9))``, but with lower | |
| computational cost. Most of the builtin footprints such as | |
| :func:`skimage.morphology.disk` provide an option to automatically generate a | |
| footprint sequence of this type. | |
| For even-sized footprints, :func:`skimage.morphology.erosion` and | |
| this function produce an output that differs: one is shifted by one pixel | |
| compared to the other. :func:`skimage.morphology.pad_footprint´ is available | |
| to account for this. | |
| See also | |
| -------- | |
| skimage.morphology.isotropic_erosion | |
| """ | |
| if out is None: | |
| out = np.empty(image.shape, dtype=bool) | |
| if mode not in {"max", "min", "ignore"}: | |
| raise ValueError(f"unsupported mode, got {mode!r}") | |
| border_value = False if mode == 'min' else True | |
| footprint = pad_footprint(footprint, pad_end=True) | |
| if not _footprint_is_sequence(footprint): | |
| footprint = [(footprint, 1)] | |
| out = _iterate_binary_func( | |
| binary_func=ndi.binary_erosion, | |
| image=image, | |
| footprint=footprint, | |
| out=out, | |
| border_value=border_value, | |
| ) | |
| return out | |
| def binary_dilation(image, footprint=None, out=None, *, mode='ignore'): | |
| """Return fast binary morphological dilation of an image. | |
| This function returns the same result as grayscale 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. | |
| footprint : ndarray or tuple, optional | |
| The neighborhood expressed as a 2-D array of 1's and 0's. | |
| If None, use a cross-shaped footprint (connectivity=1). The footprint | |
| can also be provided as a sequence of smaller footprints as described | |
| in the notes below. | |
| out : ndarray of bool, optional | |
| The array to store the result of the morphology. If None is | |
| passed, a new array will be allocated. | |
| mode : str, optional | |
| The `mode` parameter determines how the array borders are handled. | |
| Valid modes are: 'max', 'min', 'ignore'. | |
| If 'min' or 'ignore', pixels outside the image domain are assumed | |
| to be `False`, which causes them to not influence the result. | |
| Default is 'ignore'. | |
| .. versionadded:: 0.23 | |
| `mode` was added in 0.23. | |
| Returns | |
| ------- | |
| dilated : ndarray of bool or uint | |
| The result of the morphological dilation with values in | |
| ``[False, True]``. | |
| Notes | |
| ----- | |
| The footprint can also be a provided as a sequence of 2-tuples where the | |
| first element of each 2-tuple is a footprint ndarray and the second element | |
| is an integer describing the number of times it should be iterated. For | |
| example ``footprint=[(np.ones((9, 1)), 1), (np.ones((1, 9)), 1)]`` | |
| would apply a 9x1 footprint followed by a 1x9 footprint resulting in a net | |
| effect that is the same as ``footprint=np.ones((9, 9))``, but with lower | |
| computational cost. Most of the builtin footprints such as | |
| :func:`skimage.morphology.disk` provide an option to automatically generate a | |
| footprint sequence of this type. | |
| For non-symmetric footprints, :func:`skimage.morphology.binary_dilation` | |
| and :func:`skimage.morphology.dilation` produce an output that differs: | |
| `binary_dilation` mirrors the footprint, whereas `dilation` does not. | |
| :func:`skimage.morphology.mirror_footprint` is available to correct for this. | |
| See also | |
| -------- | |
| skimage.morphology.isotropic_dilation | |
| """ | |
| if out is None: | |
| out = np.empty(image.shape, dtype=bool) | |
| if mode not in {"max", "min", "ignore"}: | |
| raise ValueError(f"unsupported mode, got {mode!r}") | |
| border_value = True if mode == 'max' else False | |
| footprint = pad_footprint(footprint, pad_end=True) | |
| if not _footprint_is_sequence(footprint): | |
| footprint = [(footprint, 1)] | |
| out = _iterate_binary_func( | |
| binary_func=ndi.binary_dilation, | |
| image=image, | |
| footprint=footprint, | |
| out=out, | |
| border_value=border_value, | |
| ) | |
| return out | |
| def binary_opening(image, footprint=None, out=None, *, mode='ignore'): | |
| """Return fast binary morphological opening of an image. | |
| This function returns the same result as grayscale 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. | |
| footprint : ndarray or tuple, optional | |
| The neighborhood expressed as a 2-D array of 1's and 0's. | |
| If None, use a cross-shaped footprint (connectivity=1). The footprint | |
| can also be provided as a sequence of smaller footprints as described | |
| in the notes below. | |
| out : ndarray of bool, optional | |
| The array to store the result of the morphology. If None | |
| is passed, a new array will be allocated. | |
| mode : str, optional | |
| The `mode` parameter determines how the array borders are handled. | |
| Valid modes are: 'max', 'min', 'ignore'. | |
| If 'ignore', pixels outside the image domain are assumed to be `True` | |
| for the erosion and `False` for the dilation, which causes them to not | |
| influence the result. Default is 'ignore'. | |
| .. versionadded:: 0.23 | |
| `mode` was added in 0.23. | |
| Returns | |
| ------- | |
| opening : ndarray of bool | |
| The result of the morphological opening. | |
| Notes | |
| ----- | |
| The footprint can also be a provided as a sequence of 2-tuples where the | |
| first element of each 2-tuple is a footprint ndarray and the second element | |
| is an integer describing the number of times it should be iterated. For | |
| example ``footprint=[(np.ones((9, 1)), 1), (np.ones((1, 9)), 1)]`` | |
| would apply a 9x1 footprint followed by a 1x9 footprint resulting in a net | |
| effect that is the same as ``footprint=np.ones((9, 9))``, but with lower | |
| computational cost. Most of the builtin footprints such as | |
| :func:`skimage.morphology.disk` provide an option to automatically generate a | |
| footprint sequence of this type. | |
| See also | |
| -------- | |
| skimage.morphology.isotropic_opening | |
| """ | |
| with warnings.catch_warnings(): | |
| warnings.filterwarnings( | |
| action="ignore", | |
| message="`binary_(dilation|erosion)` is deprecated", | |
| category=FutureWarning, | |
| module="skimage", | |
| ) | |
| tmp = binary_erosion(image, footprint, mode=mode) | |
| out = binary_dilation(tmp, footprint, out=out, mode=mode) | |
| return out | |
| def binary_closing(image, footprint=None, out=None, *, mode='ignore'): | |
| """Return fast binary morphological closing of an image. | |
| This function returns the same result as grayscale 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. | |
| footprint : ndarray or tuple, optional | |
| The neighborhood expressed as a 2-D array of 1's and 0's. | |
| If None, use a cross-shaped footprint (connectivity=1). The footprint | |
| can also be provided as a sequence of smaller footprints as described | |
| in the notes below. | |
| out : ndarray of bool, optional | |
| The array to store the result of the morphology. If None, | |
| is passed, a new array will be allocated. | |
| mode : str, optional | |
| The `mode` parameter determines how the array borders are handled. | |
| Valid modes are: 'max', 'min', 'ignore'. | |
| If 'ignore', pixels outside the image domain are assumed to be `True` | |
| for the erosion and `False` for the dilation, which causes them to not | |
| influence the result. Default is 'ignore'. | |
| .. versionadded:: 0.23 | |
| `mode` was added in 0.23. | |
| Returns | |
| ------- | |
| closing : ndarray of bool | |
| The result of the morphological closing. | |
| Notes | |
| ----- | |
| The footprint can also be a provided as a sequence of 2-tuples where the | |
| first element of each 2-tuple is a footprint ndarray and the second element | |
| is an integer describing the number of times it should be iterated. For | |
| example ``footprint=[(np.ones((9, 1)), 1), (np.ones((1, 9)), 1)]`` | |
| would apply a 9x1 footprint followed by a 1x9 footprint resulting in a net | |
| effect that is the same as ``footprint=np.ones((9, 9))``, but with lower | |
| computational cost. Most of the builtin footprints such as | |
| :func:`skimage.morphology.disk` provide an option to automatically generate a | |
| footprint sequence of this type. | |
| See also | |
| -------- | |
| skimage.morphology.isotropic_closing | |
| """ | |
| with warnings.catch_warnings(): | |
| warnings.filterwarnings( | |
| action="ignore", | |
| message="`binary_(dilation|erosion)` is deprecated", | |
| category=FutureWarning, | |
| module="skimage", | |
| ) | |
| tmp = binary_dilation(image, footprint, mode=mode) | |
| out = binary_erosion(tmp, footprint, out=out, mode=mode) | |
| return out | |