An Efficient Method for Computation of Legendre Moments
نویسندگان
چکیده
منابع مشابه
An Efficient Method for Computation of Legendre Moments
The two-dimensional (2D) and three-dimensional (3D) orthogonal moments are useful tools for 2D and 3D object recognition and image analysis. However, the problem of computation of orthogonal moments has not been well solved because there exist few algorithms that can efficiently reduce the computational complexity. As is well known, the calculation of 2D and 3D orthogonal moments by a straightf...
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A new method is proposed for fast and low-complexity computation of exact 3D Legendre moments. The proposed method consists of three main steps. In the first step, the symmetry property is employed where the computational complexity is reduced by 87%. In the second step, exact values of 3D Legendre moments are obtained by mathematically integrating the Legendre polynomials over digital image vo...
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Pseudo-Zernike moments have better feature representation capabilities and are more robust to image noise than the conventional Zernike moments. However, pseudo-Zernike moments have not been extensively used as feature descriptors due to the computational complexity of the pseudo-Zernike radial polynomials. This paper discusses the drawbacks of the existing methods, and proposes an efficient re...
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Institute of Engineering Cybernetics Academy of Sciences of Republic Belarus Surganova 6, 220012 Minsk, Belarus {tuzikov,sheynin,vasiliev}@mpen.bas-net.by Received April 10, 2002 It is well known that such important geometric characteristics of 3D bodies as volume and orientation can be defined in terms of moments. A moment computation depends greatly on a body representation. The most popular ...
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ژورنال
عنوان ژورنال: Graphical Models
سال: 2000
ISSN: 1524-0703
DOI: 10.1006/gmod.2000.0523