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Image analysis by Tchebichef moments

2001/01/01 by R. Mukundan, Ramakrishnan Mukundan, S. H. Ong +2 · 5 citations
Computer Science · #Advanced Image and Video Retrieval Techniques #Image Retrieval and Classification Techniques #Medical Image Segmentation Techniques

paper · doi:10.1109/83.941859

openalex publication_date 2001/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/02

Abstract

This paper introduces a new set of orthogonal moment functions based on the discrete Tchebichef polynomials. The Tchebichef moments can be effectively used as pattern features in the analysis of two-dimensional images. The implementation of the moments proposed in this paper does not involve any numerical approximation, since the basis set is orthogonal in the discrete domain of the image coordinate space. This property makes Tchebichef moments superior to the conventional orthogonal moments such as Legendre moments and Zernike moments, in terms of preserving the analytical properties needed to ensure information redundancy in a moment set. The paper also details the various computational aspects of Tchebichef moments and demonstrates their feature representation capability using the method of image reconstruction.

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