FRACTAL DIMENSION USING SEMIVARIANCE TECHNIQUE

ESTIMATES FRACTAL DIMENSION OF ROI CROPPED FROM AN IMAGE USING SEMI-VARIANCE TECHNIQUE

THIS ALGORITHM COMPUTES FRACTAL DIMENSION USING SEMI-VARIANCE TECHNIQUE. IT HELPS TO ASSESS THE DIRECTIONALITY OF THE TEXTURE PATTERN IN AN IMAGE. SEMI-VARIANCE ALONG HORIZONTAL DIRECTION IS DEFINED AS THE SUMMATION OVER ALL PIXELS N, OF THE DIFFERENCE IN INTENSITIES I(x,y) OF PIXELS SEPARATED BY THE DISPLACEMENT 'h' IN THE x - DIRECTION. SIMILARLY FOR VERTICAL DIRECTION, IT IS CALCULATED IN y-DIRECTION. THE FRACTAL DIMENSIONS CAN BE CALCULATED FROM THE LINEAR SLOPE OF THE PLOTS OF THE LOGARITHM OF SEMI-VARIANCE AS A FUNCTION OF h, ( i.e., FROM THE LOG-LOG PLOT)