An Algorithm for Fast Computation of 3D Zernike Moments for Volumetric Images
An algorithm was proposed for very fast and low-complexity computation of three-dimensional Zernike moments. The 3D Zernike moments were expressed in terms of exact 3D geometric moments where the later are computed exactly through the mathematical integration of the monomial terms over the digital i...
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2012-01-01
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2012/353406 |
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doaj-4a398b3222d343aeb3bd91dbb7e4fbe22020-11-25T00:32:54ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472012-01-01201210.1155/2012/353406353406An Algorithm for Fast Computation of 3D Zernike Moments for Volumetric ImagesKhalid M. Hosny0Mohamed A. Hafez1Department of Computer Science, Community College, Najran University, P.O. BOX 1988, Najran, Saudi ArabiaDepartment of Mathematics, College of Science and Arts, Najran University, P.O. BOX 1988, Najran, Saudi ArabiaAn algorithm was proposed for very fast and low-complexity computation of three-dimensional Zernike moments. The 3D Zernike moments were expressed in terms of exact 3D geometric moments where the later are computed exactly through the mathematical integration of the monomial terms over the digital image/object voxels. A new symmetry-based method was proposed to compute 3D Zernike moments with 87% reduction in the computational complexity. A fast 1D cascade algorithm was also employed to add more complexity reduction. The comparison with existing methods was performed, where the numerical experiments and the complexity analysis ensured the efficiency of the proposed method especially with image and objects of large sizes.http://dx.doi.org/10.1155/2012/353406 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Khalid M. Hosny Mohamed A. Hafez |
spellingShingle |
Khalid M. Hosny Mohamed A. Hafez An Algorithm for Fast Computation of 3D Zernike Moments for Volumetric Images Mathematical Problems in Engineering |
author_facet |
Khalid M. Hosny Mohamed A. Hafez |
author_sort |
Khalid M. Hosny |
title |
An Algorithm for Fast Computation of 3D Zernike Moments for Volumetric Images |
title_short |
An Algorithm for Fast Computation of 3D Zernike Moments for Volumetric Images |
title_full |
An Algorithm for Fast Computation of 3D Zernike Moments for Volumetric Images |
title_fullStr |
An Algorithm for Fast Computation of 3D Zernike Moments for Volumetric Images |
title_full_unstemmed |
An Algorithm for Fast Computation of 3D Zernike Moments for Volumetric Images |
title_sort |
algorithm for fast computation of 3d zernike moments for volumetric images |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2012-01-01 |
description |
An algorithm was proposed for very fast and low-complexity computation of three-dimensional Zernike moments. The 3D Zernike moments were expressed in terms of exact 3D geometric moments where the later are computed exactly through the mathematical integration of the monomial terms over the digital image/object voxels. A new symmetry-based method was proposed to compute 3D Zernike moments with 87% reduction in the computational complexity. A fast 1D cascade algorithm was also employed to add more complexity reduction. The comparison with existing methods was performed, where the numerical experiments and the complexity analysis ensured the efficiency of the proposed method especially with image and objects of large sizes. |
url |
http://dx.doi.org/10.1155/2012/353406 |
work_keys_str_mv |
AT khalidmhosny analgorithmforfastcomputationof3dzernikemomentsforvolumetricimages AT mohamedahafez analgorithmforfastcomputationof3dzernikemomentsforvolumetricimages AT khalidmhosny algorithmforfastcomputationof3dzernikemomentsforvolumetricimages AT mohamedahafez algorithmforfastcomputationof3dzernikemomentsforvolumetricimages |
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