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ADAPTHISTEQ Performs Contrast-Limited Adaptive Histogram Equalization (CLAHE).
    ADAPTHISTEQ enhances the contrast of images by transforming the
    values in the intensity image I.  Unlike HISTEQ, it operates on small
    data regions (tiles), rather than the entire image. Each tile's
    contrast is enhanced, so that the histogram of the output region
    approximately matches the specified histogram. The neighboring tiles
    are then combined using bilinear interpolation in order to eliminate
    artificially induced boundaries.  The contrast, especially
    in homogeneous areas, can be limited in order to avoid amplifying the
    noise which might be present in the image.

    J = ADAPTHISTEQ(I) Performs CLAHE on the intensity image I.

    J = ADAPTHISTEQ(I,PARAM1,VAL1,PARAM2,VAL2...) sets various parameters.
    Parameter names can be abbreviated, and case does not matter. Each
    string parameter is followed by a value as indicated below:

    'NumTiles'     Two-element vector of positive integers: [M N].
                   [M N] specifies the number of tile rows and
                   columns.  Both M and N must be at least 2.
                   The total number of image tiles is equal to M*N.

                   Default: [8 8].

    'ClipLimit'    Real scalar from 0 to 1.
                   'ClipLimit' limits contrast enhancement. Higher numbers
                   result in more contrast.
       
                   Default: 0.01.

    'NBins'        Positive integer scalar.
                   Sets number of bins for the histogram used in building a
                   contrast enhancing transformation. Higher values result
                   in greater dynamic range at the cost of slower processing
                   speed.

                   Default: 256.

    'Range'        One of the strings: 'original' or 'full'.
                   Controls the range of the output image data. If 'Range'
                   is set to 'original', the range is limited to
                   [min(I() max(I()]. Otherwise, by default, or when
                   'Range' is set to 'full', the full range of the output
                   image class is used (e.g. [0 255] for uint8).

                   Default: 'full'.

    'Distribution' Distribution can be one of three strings: 'uniform',
                   'rayleigh', 'exponential'.
                   Sets desired histogram shape for the image tiles, by
                   specifying a distribution type.

                   Default: 'uniform'.

    'Alpha'        Nonnegative real scalar.
                   'Alpha' is a distribution parameter, which can be supplied
                   when 'Dist' is set to either 'rayleigh' or 'exponential'.

                   Default: 0.4.

    Notes
    -----
    - 'NumTiles' specify the number of rectangular contextual regions (tiles)
      into which the image is divided. The contrast transform function is
      calculated for each of these regions individually. The optimal number of
      tiles depends on the type of the input image, and it is best determined
      through experimentation.

    - The 'ClipLimit' is a contrast factor that prevents over-saturation of the
      image specifically in homogeneous areas.  These areas are characterized
      by a high peak in the histogram of the particular image tile due to many
      pixels falling inside the same gray level range. Without the clip limit,
      the adaptive histogram equalization technique could produce results that,
      in some cases, are worse than the original image.

    - ADAPTHISTEQ can use Uniform, Rayleigh, or Exponential distribution as
      the basis for creating the contrast transform function. The distribution
      that should be used depends on the type of the input image.
      For example, underwater imagery appears to look more natural when the
      Rayleigh distribution is used.

    Class Support
    -------------
    Intensity image I can be uint8, uint16, int16, double, or single.
    The output image J has the same class as I.

    Example 1
    ---------
    Apply Contrast-Limited Adaptive Histogram Equalization to the
    rice.png image. Display the enhanced image.

       I = imread('tire.tif');
       A = adapthisteq(I,'clipLimit',0.02,'Distribution','rayleigh');
       figure, imshow(I);
       figure, imshow(A);

    Example 2
    ---------
   
    Apply Contrast-Limited Adaptive Histogram Equalization to a color
    photograph.

       [X MAP] = imread('shadow.tif');
       RGB = ind2rgb(X,MAP); % convert indexed image to truecolor format
       cform2lab = makecform('srgb2lab');
       LAB = applycform(RGB, cform2lab); %convert image to L*a*b color space
       L = LAB(:,:,1)/100; % scale the values to range from 0 to 1
       LAB(:,:,1) = adapthisteq(L,'NumTiles',[8 8],'ClipLimit',0.005)*100;
       cform2srgb = makecform('lab2srgb');
       J = applycform(LAB, cform2srgb); %convert back to RGB
       figure, imshow(RGB); %display the results
       figure, imshow(J);


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