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An Algorithm for Fast Computation of 3D Zernike Moments for Volumetric Images
Faculty
Computer Science
Year:
2012
Type of Publication:
Article
Pages:
Authors:
Hosny, Khalid M, Hafez, Mohamed A
DOI:
10.1155/2012/353406
Journal:
MATHEMATICAL PROBLEMS IN ENGINEERING HINDAWI PUBLISHING CORPORATION
Volume:
Research Area:
Engineering; Mathematics
ISSN
ISI:000310304000001
Keywords :
, Algorithm , Fast Computation , , Zernike Moments , Volumetric
Abstract:
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.
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