Probabilistic model for quadtree representation of binary images
Chun-Hsien Chou, Chih-Peng Chu · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1991
A quadtree is a compact data structure widely used in many areas for representing binary region data. In this paper, a probabilistic model for quadtree coding of binary images is presented. The binary image to be encoded can be modeled as a first-order Markov process, and the quadtree representation of binary images can be modeled as a branching process. Based on these two mathematical models and the Huffman code, a recursive equation is obtained to estimate the code length for the quadtree representation of a binary image. The simulation results show that, with the measured statistical parameters and a proper value assigned to a dependent parameter, the differences between the bit rates of the theoretical estimation and the experimental results are in average within 5%.