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An Algorithm for Fast Computation of 3D Zernike Moments for Volumetric Images
Joint Authors
Hosny, Khalid M.
Hafez, Mohamed A.
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-15
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Hosny, Khalid M.& Hafez, Mohamed A.. 2012. An Algorithm for Fast Computation of 3D Zernike Moments for Volumetric Images. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1001535
Modern Language Association (MLA)
Hosny, Khalid M.& Hafez, Mohamed A.. An Algorithm for Fast Computation of 3D Zernike Moments for Volumetric Images. Mathematical Problems in Engineering No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-1001535
American Medical Association (AMA)
Hosny, Khalid M.& Hafez, Mohamed A.. An Algorithm for Fast Computation of 3D Zernike Moments for Volumetric Images. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-1001535
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001535