"""ctmf.py - constant time per pixel median filtering with an octagonal shape Reference: S. Perreault and P. Hebert, "Median Filtering in Constant Time", IEEE Transactions on Image Processing, September 2007. Originally part of CellProfiler, code licensed under both GPL and BSD licenses. Website: http://www.cellprofiler.org Copyright (c) 2003-2009 Massachusetts Institute of Technology Copyright (c) 2009-2011 Broad Institute All rights reserved. Original author: Lee Kamentsky """ import warnings import numpy as np from . import _ctmf from ._rank_order import rank_order from .._shared.utils import deprecated @deprecated('filter.rank.median') def median_filter(image, radius=2, mask=None, percent=50): """Masked median filter with octagon shape. Parameters ---------- image : (M, N) ndarray Input image. radius : int Radius (in pixels) of a circle inscribed into the filtering octagon. Must be at least 2. Default radius is 2. mask : (M, N) ndarray Mask with 1's for significant pixels, 0's for masked pixels. By default, all pixels are considered significant. percent : int The unmasked pixels within the octagon are sorted, and the value at `percent` percent of the index range is chosen. Default value of 50 gives the median pixel. Returns ------- out : (M, N) ndarray Filtered array. In areas where the median filter does not overlap the mask, the filtered result is undefined, but in practice, it will be the lowest value in the valid area. Notes ----- Because of the histogram implementation, the number of unique values for the output is limited to 256. Examples -------- >>> a = np.ones((5, 5)) >>> a[2, 2] = 10 # introduce outlier >>> b = median_filter(a) >>> b[2, 2] # the median filter is good at removing outliers 1.0 """ if image.ndim != 2: raise TypeError("Input 'image' must be a two-dimensional array.") if radius < 2: raise ValueError("Input 'radius' must be >= 2.") if mask is None: mask = np.ones(image.shape, dtype=np.bool) mask = np.ascontiguousarray(mask, dtype=np.bool) if np.all(~ mask): warnings.warn('Mask is all over image! Returning copy of input image.') return image.copy() if (not np.issubdtype(image.dtype, np.int) or np.min(image) < 0 or np.max(image) > 255): ranked_values, translation = rank_order(image[mask]) max_ranked_values = np.max(ranked_values) if max_ranked_values == 0: warnings.warn('Particular case? Returning copy of input image.') return image.copy() if max_ranked_values > 255: ranked_values = ranked_values * 255 // max_ranked_values was_ranked = True else: ranked_values = image[mask] was_ranked = False ranked_image = np.zeros(image.shape, np.uint8) ranked_image[mask] = ranked_values mask.dtype = np.uint8 output = np.zeros(image.shape, np.uint8) _ctmf.median_filter(ranked_image, mask, output, radius, percent) if was_ranked: # # The translation gives the original value at each ranking. # We rescale the output to the original ranking and then # use the translation to look up the original value in the image. # if max_ranked_values > 255: result = translation[output.astype(np.uint32) * max_ranked_values // 255] else: result = translation[output] else: result = output return result