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.
| Original language | English |
|---|---|
| Pages (from-to) | 1248-1255 |
| Number of pages | 8 |
| Journal | IEICE Transactions on Information and Systems |
| Volume | E95-D |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2012 May |
Keywords
- Image retrieval
- Polar Fourier analysis
- Relative prime number
- Rotation invariant
- Spherical Fourier analysis
ASJC Scopus subject areas
- Software
- Hardware and Architecture
- Computer Vision and Pattern Recognition
- Electrical and Electronic Engineering
- Artificial Intelligence