Title :
State-space approach to roundoff error analysis of fractal image coding
Author :
Lee, Choong Ho ; Kawamata, Masayuki ; Higuchi, Tatsuo
Author_Institution :
Graduate Sch. of Inf. Sci., Tohoku Univ., Sendai, Japan
Abstract :
Roundoff error due to iterative computation with finite wordlength degrades the quality of decoded images in fractal image coding that employs a deterministic iterated function system. This paper presents a state-space approach to roundoff error analysis of fractal image coding for grey-scale images. The output noise variance matrix and the noise matrix are derived for the measures of error and the output noise variance is newly defined as the pixel mean of diagonal elements of the output noise matrix. A quantitative comparison of experimental roundoff error with analytical result is made for the output noise variance. The result shows that our analysis method is valid for the fractal image coding. Our analysis method is useful to design a real-time and low-cost decoding hardware with finite wordlength for fractal image coding
Keywords :
decoding; fractals; image coding; iterative methods; roundoff errors; state-space methods; decoded images; deterministic iterated function system; finite wordlength; fractal image coding; grey-scale images; iterative computation; low-cost decoding hardware; output noise variance matrix; roundoff error analysis; state-space approach; Analysis of variance; Degradation; Error analysis; Fractals; Hardware; Image analysis; Image coding; Iterative decoding; Noise measurement; Roundoff errors;
Conference_Titel :
Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
Print_ISBN :
0-7803-3583-X
DOI :
10.1109/ISCAS.1997.622108
