Accuracy Analysis of Moment Functions

oment metho ds have b een the subject of intensive research since the concept of image moments was intro duced by Hu in 1962 [6]. Dierent typ es of conventional continuous orthogonal moments, dened in the rectangular region and circular domain, have b een investigated as the unique image features for applications in elds of pattern recognition and image analysis. For a general study of continuous orthogonal moments, please refer to [11, 12, 4]. In this chapter, we will conduct the accuracy analysis of continuous moment functions dened in b oth the rectangular region and circular domain, analyze the computational errors of those moment functions, and prop ose solutions to improve the computing accuracy of moments, esp ecially for the higher order moment functions.