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Discrete signal matching using coarse-to-fine wavelet basis functions |
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| Authors: | Yu-Te WuAuthor Vitae Li-Fen ChenAuthor Vitae Po-Lei LeeAuthor VitaeTzu-Chen YehAuthor Vitae Jen-Chuen HsiehAuthor Vitae |
| Affiliation: | a Institute of Radiological Science, National Yang-Ming University, 155 Li-Nong Street, Section 2, Peitou, Taipei, Taiwan, ROC b Integrated Brain Research Laboratory, Department of Medical Research and Education, Taipei Veterans General Hospital, 112, No. 201, Section 2, Shih-Pai Rd., Taiwan, ROC c Faculty of Medicine, School of Medicine, National Yang-Ming University, 155 Li-Nong Street, Section 2, Peitou, Taipei, Taiwan, ROC d Institute of Neuroscience, School of Life Science, National Yang-Ming University, 155 Li-Nong Street, Section 2, Peitou, Taipei, Taiwan, ROC e Department of Radiology, Taipei Veterans General Hospital, 112, No.201, Section 2, Shih-Pai Rd., Taiwan, ROC |
| Abstract: | In this paper, we propose a matching algorithm to estimate accurate and dense displacements between two signals. The displacements are characterized by a coarse-to-fine wavelet representation, which is a linear combination of hierarchical basis functions developed by Cai and Wang (SIAM Numer. Anal. 33(3) (1996) 937). The coarser-scale basis function has larger support while the finer-scale basis function has smaller support. During the iterative minimization process, the basis functions are utilized as large-to-small windows in selecting global-to-local regions for signal matching. The estimated wavelet coefficients are then used to reconstruct the signal in a coarse-to-fine manner. Two sets of synthetic examples, one with small displacement and the other with large displacements, have been employed to illustrate the advantages of the wavelet-based method. This method has been applied to estimate the dense disparity between stereo images in several real examples and the results demonstrate its effectiveness. |
| Keywords: | Signal matching Coarse-to-fine representation Wavelet basis Sum of squared difference (SSD) Stereo images Disparity |
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