import warnings import numpy as np from skimage import img_as_float from skimage.util.dtype import dtype_range, dtype_limits from skimage._shared.utils import deprecated __all__ = ['histogram', 'cumulative_distribution', 'equalize', 'rescale_intensity', 'adjust_gamma', 'adjust_log', 'adjust_sigmoid'] def histogram(image, nbins=256): """Return histogram of image. Unlike `numpy.histogram`, this function returns the centers of bins and does not rebin integer arrays. For integer arrays, each integer value has its own bin, which improves speed and intensity-resolution. The histogram is computed on the flattened image: for color images, the function should be used separately on each channel to obtain a histogram for each color channel. Parameters ---------- image : array Input image. nbins : int Number of bins used to calculate histogram. This value is ignored for integer arrays. Returns ------- hist : array The values of the histogram. bin_centers : array The values at the center of the bins. Examples -------- >>> from skimage import data, exposure, util >>> image = util.img_as_float(data.camera()) >>> np.histogram(image, bins=2) (array([107432, 154712]), array([ 0. , 0.5, 1. ])) >>> exposure.histogram(image, nbins=2) (array([107432, 154712]), array([ 0.25, 0.75])) """ sh = image.shape if len(sh) == 3 and sh[-1] < 4: warnings.warn("This might be a color image. The histogram will be " "computed on the flattened image. You can instead " "apply this function to each color channel.") # For integer types, histogramming with bincount is more efficient. if np.issubdtype(image.dtype, np.integer): offset = 0 if np.min(image) < 0: offset = np.min(image) hist = np.bincount(image.ravel() - offset) bin_centers = np.arange(len(hist)) + offset # clip histogram to start with a non-zero bin idx = np.nonzero(hist)[0][0] return hist[idx:], bin_centers[idx:] else: hist, bin_edges = np.histogram(image.flat, nbins) bin_centers = (bin_edges[:-1] + bin_edges[1:]) / 2. return hist, bin_centers def cumulative_distribution(image, nbins=256): """Return cumulative distribution function (cdf) for the given image. Parameters ---------- image : array Image array. nbins : int Number of bins for image histogram. Returns ------- img_cdf : array Values of cumulative distribution function. bin_centers : array Centers of bins. References ---------- .. [1] http://en.wikipedia.org/wiki/Cumulative_distribution_function """ hist, bin_centers = histogram(image, nbins) img_cdf = hist.cumsum() img_cdf = img_cdf / float(img_cdf[-1]) return img_cdf, bin_centers @deprecated('equalize_hist') def equalize(image, nbins=256): return equalize_hist(image, nbins) def equalize_hist(image, nbins=256): """Return image after histogram equalization. Parameters ---------- image : array Image array. nbins : int Number of bins for image histogram. Returns ------- out : float array Image array after histogram equalization. Notes ----- This function is adapted from [1]_ with the author's permission. References ---------- .. [1] http://www.janeriksolem.net/2009/06/histogram-equalization-with-python-and.html .. [2] http://en.wikipedia.org/wiki/Histogram_equalization """ image = img_as_float(image) cdf, bin_centers = cumulative_distribution(image, nbins) out = np.interp(image.flat, bin_centers, cdf) return out.reshape(image.shape) def rescale_intensity(image, in_range=None, out_range=None): """Return image after stretching or shrinking its intensity levels. The image intensities are uniformly rescaled such that the minimum and maximum values given by `in_range` match those given by `out_range`. Parameters ---------- image : array Image array. in_range : 2-tuple (float, float) Min and max *allowed* intensity values of input image. If None, the *allowed* min/max values are set to the *actual* min/max values in the input image. out_range : 2-tuple (float, float) Min and max intensity values of output image. If None, use the min/max intensities of the image data type. See `skimage.util.dtype` for details. Returns ------- out : array Image array after rescaling its intensity. This image is the same dtype as the input image. Examples -------- By default, intensities are stretched to the limits allowed by the dtype: >>> image = np.array([51, 102, 153], dtype=np.uint8) >>> rescale_intensity(image) array([ 0, 127, 255], dtype=uint8) It's easy to accidentally convert an image dtype from uint8 to float: >>> 1.0 * image array([ 51., 102., 153.]) Use `rescale_intensity` to rescale to the proper range for float dtypes: >>> image_float = 1.0 * image >>> rescale_intensity(image_float) array([ 0. , 0.5, 1. ]) To maintain the low contrast of the original, use the `in_range` parameter: >>> rescale_intensity(image_float, in_range=(0, 255)) array([ 0.2, 0.4, 0.6]) If the min/max value of `in_range` is more/less than the min/max image intensity, then the intensity levels are clipped: >>> rescale_intensity(image_float, in_range=(0, 102)) array([ 0.5, 1. , 1. ]) If you have an image with signed integers but want to rescale the image to just the positive range, use the `out_range` parameter: >>> image = np.array([-10, 0, 10], dtype=np.int8) >>> rescale_intensity(image, out_range=(0, 127)) array([ 0, 63, 127], dtype=int8) """ dtype = image.dtype.type if in_range is None: imin = np.min(image) imax = np.max(image) else: imin, imax = in_range if out_range is None: omin, omax = dtype_range[dtype] if imin >= 0: omin = 0 else: omin, omax = out_range image = np.clip(image, imin, imax) image = (image - imin) / float(imax - imin) return dtype(image * (omax - omin) + omin) def _assert_non_negative(image): if np.any(image < 0): raise ValueError('Image Correction methods work correctly only on ' 'images with non-negative values. Use ' 'skimage.exposure.rescale_intensity.') def adjust_gamma(image, gamma=1, gain=1): """Performs Gamma Correction on the input image. Also known as Power Law Transform. This function transforms the input image pixelwise according to the equation ``O = I**gamma`` after scaling each pixel to the range 0 to 1. Parameters ---------- image : ndarray Input image. gamma : float Non negative real number. Default value is 1. gain : float The constant multiplier. Default value is 1. Returns ------- out : ndarray Gamma corrected output image. Notes ----- For gamma greater than 1, the histogram will shift towards left and the output image will be darker than the input image. For gamma less than 1, the histogram will shift towards right and the output image will be brighter than the input image. References ---------- .. [1] http://en.wikipedia.org/wiki/Gamma_correction """ _assert_non_negative(image) dtype = image.dtype.type if gamma < 0: return "Gamma should be a non-negative real number" scale = float(dtype_limits(image, True)[1] - dtype_limits(image, True)[0]) out = ((image / scale) ** gamma) * scale * gain return dtype(out) def adjust_log(image, gain=1, inv=False): """Performs Logarithmic correction on the input image. This function transforms the input image pixelwise according to the equation ``O = gain*log(1 + I)`` after scaling each pixel to the range 0 to 1. For inverse logarithmic correction, the equation is ``O = gain*(2**I - 1)``. Parameters ---------- image : ndarray Input image. gain : float The constant multiplier. Default value is 1. inv : float If True, it performs inverse logarithmic correction, else correction will be logarithmic. Defaults to False. Returns ------- out : ndarray Logarithm corrected output image. References ---------- .. [1] http://www.ece.ucsb.edu/Faculty/Manjunath/courses/ece178W03/EnhancePart1.pdf """ _assert_non_negative(image) dtype = image.dtype.type scale = float(dtype_limits(image, True)[1] - dtype_limits(image, True)[0]) if inv: out = (2 ** (image / scale) - 1) * scale * gain return dtype(out) out = np.log2(1 + image / scale) * scale * gain return dtype(out) def adjust_sigmoid(image, cutoff=0.5, gain=10, inv=False): """Performs Sigmoid Correction on the input image. Also known as Contrast Adjustment. This function transforms the input image pixelwise according to the equation ``O = 1/(1 + exp*(gain*(cutoff - I)))`` after scaling each pixel to the range 0 to 1. Parameters ---------- image : ndarray Input image. cutoff : float Cutoff of the sigmoid function that shifts the characteristic curve in horizontal direction. Default value is 0.5. gain : float The constant multiplier in exponential's power of sigmoid function. Default value is 10. inv : bool If True, returns the negative sigmoid correction. Defaults to False. Returns ------- out : ndarray Sigmoid corrected output image. References ---------- .. [1] Gustav J. Braun, "Image Lightness Rescaling Using Sigmoidal Contrast Enhancement Functions", http://www.cis.rit.edu/fairchild/PDFs/PAP07.pdf """ _assert_non_negative(image) dtype = image.dtype.type scale = float(dtype_limits(image, True)[1] - dtype_limits(image, True)[0]) if inv: out = (1 - 1 / (1 + np.exp(gain * (cutoff - image/scale)))) * scale return dtype(out) out = (1 / (1 + np.exp(gain * (cutoff - image/scale)))) * scale return dtype(out)