Journal ArticleUnknown
General form for obtaining discrete orthogonal moments
Authors
Author Affiliations
East China University of Science and Technology, University of Salford, Southeast University
Published InIET Image Processing
Year2010
Citations133
Abstract
Discrete orthogonal moments such as Tchebichef moments and Krawtchouk moments are more powerful in image representation than traditional continuous orthogonal moments. However, less work has been done for the summarisation of these discrete orthogonal moments. This study proposes two general forms which will simplify and group the discrete orthogonal Tchebichef and Krawtchouk polynomials and their corresponding moments, and discusses their importance in theories and applications. Besides, the proposed general form can be used to obtain other three discrete orthogonal moments: Hahn moments, Charlier moments and Meixner moments. Computations of these discrete orthogonal polynomials are also discussed in this task, including the recurrence relation with respect to variable x and order n. Some properties of these discrete orthogonal moments, which are…
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Fields & Keywords
Physical SciencesComputer ScienceComputer Vision and Pattern RecognitionImage Retrieval and Classification TechniquesAdvanced Image and Video Retrieval TechniquesMedical Image Segmentation TechniquesAlgorithmApplied mathematicsPure mathematicsArtificial intelligenceGeometryOpticsQuantum mechanicsStatisticsLaw