Recursive computation of Tchebichef moment and its inverse transform

Authors:
Guobao Wang;Shigang Wang
Affiliations:
Institute of Mechatronics and Automation Technology, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200030, China;Institute of Mechatronics and Automation Technology, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200030, China
Venue:
Pattern Recognition
Year:
2006

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Abstract

Tchebichef moment is a novel set of orthogonal moment applied in the fields of image analysis and pattern recognition. Less work has been made for the computation of Tchebichef moment and its inverse moment transform. In this paper, both a direct recursive algorithm and a compact algorithm are developed for the computation of Tchebichef moment. The effective recursive algorithm for inverse Tchebichef moment transform is also presented. Clenshaw's recurrence formula was used in this paper to transform kernels of the forward and inverse Tchebichef moment transform. There is no need for the proposed algorithms to compute the Tchebichef polynomial values. The approaches presented are more efficient compared with the straightforward methods, and particularly suitable for parallel VLSI implementation due to their regular and simple filter structures.