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FEAT - Unified peak finder backend
Detailed changelist: * Fully documented new API for peak_local_max() * Removed commented-out old code for is_local_maximum() * Added "See also" and "Notes" to is_local_maximum() redirecting to peak_local_max()
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@@ -4,10 +4,10 @@ import scipy.ndimage as ndi
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def peak_local_max(image, min_distance=10, threshold_abs=0, threshold_rel=0.1,
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exclude_border=True, indices=True, num_peaks=np.inf,
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footprint=None, labels=None, **kwargs):
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"""Return coordinates of peaks in an image.
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"""
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Find peaks in an image, and return them as coordinates or a boolean array.
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Peaks are the local maxima in a region of `2 * min_distance + 1`
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(i.e. peaks are separated by at least `min_distance`).
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Peaks are the local maxima
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NOTE: If peaks are flat (i.e. multiple pixels have exact same intensity),
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the coordinates of all pixels are returned.
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@@ -16,22 +16,54 @@ def peak_local_max(image, min_distance=10, threshold_abs=0, threshold_rel=0.1,
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----------
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image : ndarray of floats
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Input image.
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min_distance : int
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Minimum number of pixels separating peaks and image boundary.
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threshold : float
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Deprecated. See `threshold_rel`.
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threshold_abs : float
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min_distance : int, default 10.
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Minimum number of pixels separating peaks in a region of `2 *
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min_distance + 1` (i.e. peaks are separated by at least
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`min_distance`).
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If `exclude_border` is True, this value also excludes a border
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`min_distance` from the image boundary.
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To find the maximum number of points, use `min_distance=1`.
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threshold_abs : float, default 0.
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Minimum intensity of peaks.
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threshold_rel : float
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threshold_rel : float, default 0.1
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Minimum intensity of peaks calculated as `max(image) * threshold_rel`.
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num_peaks : int
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exclude_border : bool, default True
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If True, `min_distance` excludes peaks from the border of the image as
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well as from each other.
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indices : bool, default True
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If True, the output will be a matrix representing peak coordinates.
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If False, the output will be a boolean matrix shaped as `image.shape`
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with peaks present at True elements.
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num_peaks : int, default np.inf
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Maximum number of peaks. When the number of peaks exceeds `num_peaks`,
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return `num_peaks` coordinates based on peak intensity.
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return `num_peaks` peaks based on highest peak intensity.
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footprint : ndarray of bools, optional
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If provided, `footprint == 1` represents the local region within which
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to search for peaks at every point in `image`.
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Overrides `min_distance`, except for border exclusion if
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`exclude_border` is True.
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labels : ndarray of ints, optional
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If provided, each unique region `labels == value` represents a unique
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region to search for peaks. Zero is reserved for background.
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threshold : float, optional
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Deprecated. If provided as a kwarg, will override `threshold_rel`.
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See `threshold_rel`.
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Returns
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-------
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coordinates : (N, 2) array
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(row, column) coordinates of peaks.
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output : (N, 2) array or ndarray of bools
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If `exclude_border = True` : (row, column) coordinates of peaks.
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If `exclude_border = False` : Boolean array shaped like `image`,
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with peaks represented by True values.
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Notes
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-----
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@@ -248,6 +248,16 @@ def is_local_maximum(image, labels=None, footprint=None):
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result: ndarray of bools
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mask that is True for pixels that are local maxima of `image`
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See also
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--------
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skimage.feature.peak_local_max: Unified peak finding backend.
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The more capable backend for finding local maxima.
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Notes
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-----
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This function is now a wrapper for skimage.feature.peak_local_max() and is
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retained only for convenience and backward compatibility.
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Examples
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--------
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>>> image = np.zeros((4, 4))
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@@ -281,63 +291,8 @@ def is_local_maximum(image, labels=None, footprint=None):
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[False, True, False, True],
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[False, False, False, False],
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[False, True, False, True]], dtype=bool)
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"""
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# if labels is None:
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# labels = np.ones(image.shape, dtype=np.uint8)
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# if footprint is None:
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# footprint = np.ones([3] * image.ndim, dtype=np.uint8)
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# assert((np.all(footprint.shape) & 1) == 1)
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# footprint = (footprint != 0)
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# footprint_extent = (np.array(footprint.shape) - 1) // 2
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# if np.all(footprint_extent == 0):
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# return labels > 0
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# result = (labels > 0).copy()
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# #
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# # Create a labels matrix with zeros at the borders that might be
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# # hit by the footprint.
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# #
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# big_labels = np.zeros(np.array(labels.shape) + footprint_extent * 2,
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# labels.dtype)
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# big_labels[[slice(fe, -fe) for fe in footprint_extent]] = labels
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# #
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# # Find the relative indexes of each footprint element
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# #
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# image_strides = np.array(image.strides) // image.dtype.itemsize
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# big_strides = np.array(big_labels.strides) // big_labels.dtype.itemsize
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# result_strides = np.array(result.strides) // result.dtype.itemsize
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# footprint_offsets = np.mgrid[[slice(-fe, fe + 1) for fe in footprint_extent]]
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# fp_image_offsets = np.sum(image_strides[:, np.newaxis] *
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# footprint_offsets[:, footprint], 0)
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# fp_big_offsets = np.sum(big_strides[:, np.newaxis] *
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# footprint_offsets[:, footprint], 0)
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# #
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# # Get the index of each labeled pixel in the image and big_labels arrays
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# #
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# indexes = np.mgrid[[slice(0, x) for x in labels.shape]][:, labels > 0]
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# image_indexes = np.sum(image_strides[:, np.newaxis] * indexes, 0)
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# big_indexes = np.sum(big_strides[:, np.newaxis] *
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# (indexes + footprint_extent[:, np.newaxis]), 0)
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# result_indexes = np.sum(result_strides[:, np.newaxis] * indexes, 0)
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# #
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# # Now operate on the raveled images
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# #
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# big_labels_raveled = big_labels.ravel()
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# image_raveled = image.ravel()
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# result_raveled = result.ravel()
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# #
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# # A hit is a hit if the label at the offset matches the label at the pixel
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# # and if the intensity at the pixel is greater or equal to the intensity
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# # at the offset.
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# #
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# for fp_image_offset, fp_big_offset in zip(fp_image_offsets, fp_big_offsets):
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# same_label = (big_labels_raveled[big_indexes + fp_big_offset] ==
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# big_labels_raveled[big_indexes])
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# less_than = (image_raveled[image_indexes[same_label]] <
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# image_raveled[image_indexes[same_label] + fp_image_offset])
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# result_raveled[result_indexes[same_label][less_than]] = False
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# return result
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return peak_local_max(image, labels=labels, min_distance=1,
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footprint=footprint, indices=False,
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exclude_border=False)
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