An edge property-based neighborhood region search strategy for fractal image compression

Abstract In this paper, an edge property-based neighborhood region search method is proposed to speedup the fractal encoder. The method searches for the best matched solution in the frequency domain. A coordinate system is constructed using the two lowest discrete cosine transformation (DCT) coefficients of image blocks. Image blocks with similar edge shapes will be concentrated in some specific regions. Therefore the purpose of speedup can be reached by limiting the search space. Moreover, embedding the edge property of block into the proposed search method, the speedup rate can be lifted further. Experimental results show that, under the condition of the same PSNR, the encoding time of the proposed method is only about two-fifth of Duh’s classification method. Compared with Tseng’s method, the proposed method is near or superior to the performance of their method. Moreover, the encoding speed of the proposed method is about 120 times faster than that of the full search method, while the penalty of retrieved image quality is only decaying 0.9 dB.

[1]  Yang Zheng,et al.  An improved fractal image compression approach by using iterated function system and genetic algorithm , 2006, Comput. Math. Appl..

[2]  Jyh-Horng Jeng,et al.  Fractal image compression using visual-based particle swarm optimization , 2008, Image Vis. Comput..

[3]  Kuo-Liang Chung,et al.  Novel prediction- and subblock-based algorithm for fractal image compression☆ , 2006 .

[4]  M. Barnsley,et al.  Iterated function systems and the global construction of fractals , 1985, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[5]  AN IMPROVED FRACTAL IMAGE CODING METHOD , 2009 .

[6]  Shu-Yuan Chen,et al.  DCT based simple classification scheme for fractal image compression , 2005, Image Vis. Comput..

[7]  Shuguo Wang,et al.  Fractal image compression based on spatial correlation and hybrid genetic algorithm , 2009, J. Vis. Commun. Image Represent..

[8]  Rae A. Earnshaw,et al.  Fractals and Chaos , 2011 .

[9]  Arnaud E. Jacquin,et al.  Image coding based on a fractal theory of iterated contractive image transformations , 1992, IEEE Trans. Image Process..

[10]  Xing-Yuan Wang,et al.  An improved no-search fractal image coding method based on a modified gray-level transform , 2008, Comput. Graph..

[11]  Xing-Yuan Wang,et al.  An improved no-search fractal image coding method based on a fitting plane , 2010, Image Vis. Comput..

[12]  Y. Fisher Fractal image compression: theory and application , 1995 .

[13]  Ming-Sheng Wu,et al.  Spatial correlation genetic algorithm for fractal image compression , 2006 .

[14]  Trieu-Kien Truong,et al.  Fast fractal image compression using spatial correlation , 2004 .

[15]  Wang Xing-yuan,et al.  Fractal image compression based on spatial correlation and hybrid genetic algorithm , 2009 .

[16]  Shen Furao,et al.  A fast no search fractal image coding method , 2004, Signal Process. Image Commun..

[17]  David Zhang,et al.  Hybrid image coding based on partial fractal mapping , 2000, Signal Process. Image Commun..

[18]  Tamás Kovács A fast classification based method for fractal image encoding , 2008, Image Vis. Comput..

[19]  S. Y. Chen,et al.  Speed quality control for fractal image compression , 2008 .

[20]  Jose Marques Henriques,et al.  FRACTALS IN THE FUNDAMENTAL AND APPLIED SCIENCES , 2007 .