REAL GABOR TRANSFORM AND ITS CHARACTERIZATION OF THE OPTIMAL BIORTHOGONAL ANALYSIS WINDOW FUNCTIONS
Author(s): TAO Liang, ZHUANG Zhenquan, h.k.kwan
Pages: 10-13
Year: 2001 Issue: 1
Journal: COMPUTER APPLICATIONS
Keyword: 图像处理; 离散Gabor变换; 双正交分析窗函数; Gabor变换系数;
Abstract: Gabor transforms have been recognized as a useful tool in signaland image processing. In this paper, we first review the method presented by us for the real discrete Gabor transforms (RDGT), and then focus on general optimal solutions for the biorthogonal analysis window functions given a synthesis window function in the RDGT. We prove that the optimal solutions in many cases such as the minimum norm solutions and the most orthogonal-like solutions are equal. The singular value decomposition method is introduced to compute the biorthogonal analysis window functions in some special cases. Some experimental examples are also given at the end of the paper.
Pages: 10-13
Year: 2001 Issue: 1
Journal: COMPUTER APPLICATIONS
Keyword: 图像处理; 离散Gabor变换; 双正交分析窗函数; Gabor变换系数;
Abstract: Gabor transforms have been recognized as a useful tool in signaland image processing. In this paper, we first review the method presented by us for the real discrete Gabor transforms (RDGT), and then focus on general optimal solutions for the biorthogonal analysis window functions given a synthesis window function in the RDGT. We prove that the optimal solutions in many cases such as the minimum norm solutions and the most orthogonal-like solutions are equal. The singular value decomposition method is introduced to compute the biorthogonal analysis window functions in some special cases. Some experimental examples are also given at the end of the paper.
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