Modeling Natural Image for Estimating DCT Coefficient Properties of Intra Prediction

An elliptical symmetric model in spatial domain of natural image is proposed in this paper. Based on the model, the statistical properties of intra prediction error are studied. Furthermore, using the linear characteristic of discrete cosine transform (DCT) and the proposed model, we offer a mathematical analysis of the properties of DCT coefficient for intra prediction error. The horizontal intra prediction mode is selected as the example. DCT coefficient properties of the rest prediction modes can be derived by the same method.