Fast 3D Image Reconstruction by Separable Moments based on Hahn and Krawtchouk Polynomials

被引：0

作者：

Tahiri, Mohamed Amine ^{[1
]}

Karmouni, Hicham ^{[1
]}

Azzayani, Ayoub ^{[2
]}

Sayyouri, Mhamed ^{[3
]}

Qjidaa, Hassan ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Fez Univ, Lab Elect Signals & Syst Informat LESSI, Dhar El Mahrez Fac Sci, Fes, Morocco

[2] Mohammed 5 Univ, Finance Entrepreneurship & Dev Lab, Fac Jurid Econ & Social Sci Sale, Rabat, Morocco

[3] Sidi Mohamed Ben Abdellah Fez Univ, Engn Syst & Applicat Lab, Natl Sch Appl Sci, Fes, Morocco

来源：

2020 FOURTH INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTING IN DATA SCIENCES (ICDS) | 2020年

关键词：

3D Hahn-Hahn-Krawtchouk moments; 3D image reconstruction; 3D image cuboid representation; FOURIER MOMENTS;

D O I：

10.1109/icds50568.2020.9268685

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we will present a new method of fast and stable computation of 3D image reconstruction using a new collection of 3D separable discrete orthogonal moments called: the 3D Hahn-Hahn-Krawtchouk moments (HHKMs). The latter are generated as the product of Hahn and Krawtchouk discrete orthogonal polynomials. In this method, we will use the 3D image cuboids representation (ICR) to accelerate the computation time of HHKM and improve the quality of 3D images reconstruction for small orders. Simulation results confirm the effectiveness of the proposed method in terms of the calculation time of HHKMs as well as the speed and quality of 3D image reconstruction, with respect to the global method, and the ability of the 3D image reconstruction using the HHKMs is compared by the classical moments of Hahn and Krawtchouk.

引用

页数：7

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