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Title of Journal: Neural Comput Applic

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Abbravation: Neural Computing and Applications

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Springer London

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DOI

10.1002/acp.1479

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1433-3058

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3D radial invariant of dual Hahn moments

Authors: Mostafa El Mallahi Amal Zouhri Abderrahim Mesbah Hassan Qjidaa
Publish Date: 2016/12/30
Volume: 30, Issue: 7, Pages: 2283-2294
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Abstract

In this work we propose new sets of 2D and 3D rotation invariants based on orthogonal radial dual Hahn moments which are orthogonal on a nonuniform lattice We also present theoretical mathematics to derive them Thus this paper presents in the first case new 2D radial dual Hahn moments based on polar representation of an image by onedimensional orthogonal discrete dual Hahn polynomials and a circular function The dual Hahn polynomials are general case of Tchebichef and Krawtchouk polynomials In the second case we introduce new 3D radial dual Hahn moments employing a spherical representation of volumetric image by onedimensional orthogonal discrete dual Hahn polynomials and a spherical function which are orthogonal on a nonuniform lattice The 2D and 3D rotational invariants are extracts from the proposed 2D and 3D radial dual Hahn moments respectively In order to test the proposed approach three problems namely image reconstruction rotational invariance and pattern recognition are attempted using the proposed moments The result of experiments shows that the radial dual Hahn moments have performed better than the radial Tchebichef and Krawtchouk moments with and without noise Simultaneously the mentioned reconstruction converges quickly to the original image using 2D and 3D radial dual Hahn moments and the test images are clearly recognized from a set of images that are available in COIL20 database for 2D image and PSB database for 3D image

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