Analysis of image coding error of fractal-wavelet transformation by using linear system theory

We analysed the self-quantization of subtrees (SQS) in fractal-Wavelet transform for image coding algorithm of Davis by using the linear system theory. we found that there was an equivalence of the attractor of a SQS transformation and the steady-state of a dynamical system. So, the encoding process is done by encoding the parameters of this dynamical system. According to this we can know how quantization errors for the scaling function coefficients will affect the decoded image, then we have greater control over the final decoded error. Also, if we store the scaling function directly, we will get a result in a marked improvement in quality with respect to quantization for image compression.