import warnings import numpy as np from skimage import img_as_float from skimage.util.dtype import dtype_range, dtype_limits __all__ = ['histogram', 'cumulative_distribution', 'equalize_hist', 'rescale_intensity', 'adjust_gamma', 'adjust_log', 'adjust_sigmoid'] DTYPE_RANGE = dtype_range.copy() DTYPE_RANGE.update((d.__name__, limits) for d, limits in dtype_range.items()) DTYPE_RANGE.update({'uint10': (0, 2**10 - 1), 'uint12': (0, 2**12 - 1), 'uint14': (0, 2**14 - 1), 'bool': dtype_range[np.bool_], 'float': dtype_range[np.float64]}) 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 def equalize_hist(image, nbins=256, mask=None): """Return image after histogram equalization. Parameters ---------- image : array Image array. nbins : int Number of bins for image histogram. mask: ndarray of bools or 0s and 1s, optional Array of same shape as `image`. Only points at which mask == True are used for the equalization, which is applied to the whole image. 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) if mask is not None: mask = np.array(mask, dtype=bool) cdf, bin_centers = cumulative_distribution(image[mask], nbins) else: cdf, bin_centers = cumulative_distribution(image, nbins) out = np.interp(image.flat, bin_centers, cdf) return out.reshape(image.shape) def intensity_range(image, range_values='image', clip_negative=False): """Return image intensity range (min, max) based on desired value type. Parameters ---------- image : array Input image. range_values : str or 2-tuple The image intensity range is configured by this parameter. The possible values for this parameter are enumerated below. 'image' Return image min/max as the range. 'dtype' Return min/max of the image's dtype as the range. dtype-name Return intensity range based on desired `dtype`. Must be valid key in `DTYPE_RANGE`. Note: `image` is ignored for this range type. 2-tuple Return `range_values` as min/max intensities. Note that there's no reason to use this function if you just want to specify the intensity range explicitly. This option is included for functions that use `intensity_range` to support all desired range types. clip_negative : bool If True, clip the negative range (i.e. return 0 for min intensity) even if the image dtype allows negative values. """ if range_values == 'dtype': range_values = image.dtype.type if range_values == 'image': i_min = np.min(image) i_max = np.max(image) elif range_values in DTYPE_RANGE: i_min, i_max = DTYPE_RANGE[range_values] if clip_negative: i_min = 0 else: i_min, i_max = range_values return i_min, i_max def rescale_intensity(image, in_range='image', out_range='dtype'): """Return image after stretching or shrinking its intensity levels. The desired intensity range of the input and output, `in_range` and `out_range` respectively, are used to stretch or shrink the intensity range of the input image. See examples below. Parameters ---------- image : array Image array. in_range, out_range : str or 2-tuple Min and max intensity values of input and output image. The possible values for this parameter are enumerated below. 'image' Use image min/max as the intensity range. 'dtype' Use min/max of the image's dtype as the intensity range. dtype-name Use intensity range based on desired `dtype`. Must be valid key in `DTYPE_RANGE`. 2-tuple Use `range_values` as explicit min/max intensities. Returns ------- out : array Image array after rescaling its intensity. This image is the same dtype as the input image. Examples -------- By default, the min/max intensities of the input image are stretched to the limits allowed by the image's dtype, since `in_range` defaults to 'image' and `out_range` defaults to '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: in_range = 'image' msg = "`in_range` should not be set to None. Use {!r} instead." warnings.warn(msg.format(in_range)) if out_range is None: out_range = 'dtype' msg = "`out_range` should not be set to None. Use {!r} instead." warnings.warn(msg.format(out_range)) imin, imax = intensity_range(image, in_range) omin, omax = intensity_range(image, out_range, clip_negative=(imin >= 0)) 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: raise ValueError("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)