Improved multifractal algorithm for analyzing image singularity

In order to analyze image singularity and the features of the different sections,a new multifractal algorithm based on sub-pixel edge measure is proposed.The greylevel gradient area density function and edge-measure of random subsets(radii can reach the precision of sub-pixel) were obtained by the square aperture sampling law on the position of sub-pixel.Utilized the multifractal frame,the image could be segmented into a series of fractal sets of the different singularity exponents.At the same time,the reconstruction algorithm was presented by using the different information content of multifractal subset.So the image could be divided from texture to edge precisely.At last,the algorithm was analyzed and examined.The data showed that the reconstruction PSNR was 14.76dB from the edge extracted by 3×3 sub-pixels method.The results show that the peak signal-to-noise ratio of the reconstruction image depends on the extracted image edge quality and the coefficient ratio of the reconstruction and the information of the different layers of the image are identical with the important information from the human visual reception.