GEOMETRIC_MEAN_XFORMFILTER_CVIP

geometric_mean_xformfilter_cvip() - performs the geometric mean restoration filtering operation.

SYNTAX
DESCRIPTION
REFERENCE
EXAMPLE
CREDITS

SYNTAX

Y = geometric_mean_xformfilter_cvip(d,h,cutoff,limitGain,noiseImage,originalImage,alpha,gamma)

Input Parameters include:

d - The degraded image. A single or multiband image.

h - The degradation function. It can be single band.

cutoff - Cutoff frequency for filtering.

limitGain - Sets the maximum gain using the DC value as a baseline. limitGain=1 --> DC value is the maximum gain. limitGain>1 --> DC_value*limitGain is the maximum gain.

noiseImage - The noise image. It can be single band.

originalImage - The original image. A single or multiband image. The number of bands should match with the input 'd'.

alpha - alpha in the generalized restoration equation.

gamma - gamma in the generalized restoration equation.

Output Parameter include :

Y - The output image after restoration filtering.

DESCRIPTION

The geometric mean xformfilter function is used to restore a degraded image to its original state. The function works on the spectrum of the degraded image and applies filtering in order to mitigate any noise effects. The filter equation is multiplied by the degarded image spectrum and the resultant image is inverse transformed to obtaind the restored image.

REFERENCE

1. Scott E Umbaugh. DIGITAL IMAGE PROCESSING AND ANALYSIS: Applications with MATLAB and CVIPtools, 3rd Edition.

EXAMPLE

% Read Original image

 originalImage = imread('Flowers.bmp');

% Read Degraded image

 d = imread('Flowers.bmp_gaussian4.bmp');

% Read Noise image

 noiseImage = imread('Flowers.bmp_gaussian4.bmp');

% cutoff frequency

 cutoff = 32;

% Limit gain

 limitGain = 10;

% Degradation function

 h = [2.250 4.500 2.250; 4.500 9.001 4.500; 2.250 4.500 2.250];

% alpha and gamma in restoration equation

 alpha = 0;

 gamma = 0.5;

% Call function

 Y = geometric_mean_xformfilter_cvip(d,h,cutoff,limitGain,noiseImage,originalImage,alpha,gamma);

% Display input images

 figure;imshow(originalImage);title('Input Image');
 figure;imshow(d);title('Degraded Image');
 figure;imshow(noiseImage);title('Noise Image');

% Display output image

 figure;imshow(remap_cvip(Y));title('Output Image');

ans =

    0.0077


ans =

    0.0079


ans =

    0.0080

GEOMETRIC_MEAN_XFORMFILTER_CVIP

Contents

SYNTAX

DESCRIPTION

REFERENCE

EXAMPLE

CREDITS