IEICE TRANSACTIONS on Information
Novel Algorithm for Polar and Spherical Fourier Analysis on Two and Three Dimensional Images
Summary :
Polar and Spherical Fourier analysis can be used to extract rotation invariant features for image retrieval and pattern recognition tasks. They are demonstrated to show superiorities comparing with other methods on describing rotation invariant features of two and three dimensional images. Based on mathematical properties of trigonometric functions and associated Legendre polynomials, fast algorithms are proposed for multimedia applications like real time systems and large multimedia databases in order to increase the computation speed. The symmetric points are computed simultaneously. Inspired by relative prime number theory, systematic analysis are given in this paper. Novel algorithm is deduced that provide even faster speed. Proposed method are 9–15% faster than previous work. The experimental results on two and three dimensional images are given to illustrate the effectiveness of the proposed method. Multimedia signal processing applications that need real time polar and spherical Fourier analysis can be benefit from this work.
- Publication
- IEICE TRANSACTIONS on Information Vol.E95-D No.5 pp.1248-1255
- Publication Date
- 2012/05/01
- Publicized
- Online ISSN
- 1745-1361
- DOI
- 10.1587/transinf.E95.D.1248
- Type of Manuscript
- Special Section PAPER (Special Section on Recent Advances in Multimedia Signal Processing Techniques and Applications)
- Category
- Image Processing
Authors
Keyword
Latest Issue
Copyrights notice of machine-translated contents
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Cite this
Copy
Zhuo YANG, Sei-ichiro KAMATA, "Novel Algorithm for Polar and Spherical Fourier Analysis on Two and Three Dimensional Images" in IEICE TRANSACTIONS on Information,
vol. E95-D, no. 5, pp. 1248-1255, May 2012, doi: 10.1587/transinf.E95.D.1248.
Abstract: Polar and Spherical Fourier analysis can be used to extract rotation invariant features for image retrieval and pattern recognition tasks. They are demonstrated to show superiorities comparing with other methods on describing rotation invariant features of two and three dimensional images. Based on mathematical properties of trigonometric functions and associated Legendre polynomials, fast algorithms are proposed for multimedia applications like real time systems and large multimedia databases in order to increase the computation speed. The symmetric points are computed simultaneously. Inspired by relative prime number theory, systematic analysis are given in this paper. Novel algorithm is deduced that provide even faster speed. Proposed method are 9–15% faster than previous work. The experimental results on two and three dimensional images are given to illustrate the effectiveness of the proposed method. Multimedia signal processing applications that need real time polar and spherical Fourier analysis can be benefit from this work.
URL: https://global.ieice.org/en_transactions/information/10.1587/transinf.E95.D.1248/_p
Copy
@ARTICLE{e95-d_5_1248,
author={Zhuo YANG, Sei-ichiro KAMATA, },
journal={IEICE TRANSACTIONS on Information},
title={Novel Algorithm for Polar and Spherical Fourier Analysis on Two and Three Dimensional Images},
year={2012},
volume={E95-D},
number={5},
pages={1248-1255},
abstract={Polar and Spherical Fourier analysis can be used to extract rotation invariant features for image retrieval and pattern recognition tasks. They are demonstrated to show superiorities comparing with other methods on describing rotation invariant features of two and three dimensional images. Based on mathematical properties of trigonometric functions and associated Legendre polynomials, fast algorithms are proposed for multimedia applications like real time systems and large multimedia databases in order to increase the computation speed. The symmetric points are computed simultaneously. Inspired by relative prime number theory, systematic analysis are given in this paper. Novel algorithm is deduced that provide even faster speed. Proposed method are 9–15% faster than previous work. The experimental results on two and three dimensional images are given to illustrate the effectiveness of the proposed method. Multimedia signal processing applications that need real time polar and spherical Fourier analysis can be benefit from this work.},
keywords={},
doi={10.1587/transinf.E95.D.1248},
ISSN={1745-1361},
month={May},}
Copy
TY - JOUR
TI - Novel Algorithm for Polar and Spherical Fourier Analysis on Two and Three Dimensional Images
T2 - IEICE TRANSACTIONS on Information
SP - 1248
EP - 1255
AU - Zhuo YANG
AU - Sei-ichiro KAMATA
PY - 2012
DO - 10.1587/transinf.E95.D.1248
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E95-D
IS - 5
JA - IEICE TRANSACTIONS on Information
Y1 - May 2012
AB - Polar and Spherical Fourier analysis can be used to extract rotation invariant features for image retrieval and pattern recognition tasks. They are demonstrated to show superiorities comparing with other methods on describing rotation invariant features of two and three dimensional images. Based on mathematical properties of trigonometric functions and associated Legendre polynomials, fast algorithms are proposed for multimedia applications like real time systems and large multimedia databases in order to increase the computation speed. The symmetric points are computed simultaneously. Inspired by relative prime number theory, systematic analysis are given in this paper. Novel algorithm is deduced that provide even faster speed. Proposed method are 9–15% faster than previous work. The experimental results on two and three dimensional images are given to illustrate the effectiveness of the proposed method. Multimedia signal processing applications that need real time polar and spherical Fourier analysis can be benefit from this work.
ER -
English
