Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/21644
Title: Multiresolution discontinuity-preserving surface reconstruction
Authors: Law, NF 
Chung, R
Keywords: Surface reconstruction
Regularization
Discontinuity detection
Discontinuity characterization
Wavelet transform
Issue Date: 2001
Publisher: Elsevier
Source: Pattern recognition, 2001, v. 34, no. 11, p. 2133-2144 How to cite?
Journal: Pattern recognition 
Abstract: This paper proposes a single multiresolution framework for both surface fitting and discontinuities identification in the surface reconstruction problem. In particular, the Mallat–Zhong wavelet transform modulus maxima (WTMM) representation is employed for representing the surface which allows the discontinuity detection and surface fitting to be carried out simultaneously in a cooperative manner under the same multiresolution framework. On the one hand, the multiresolution feature analysis inherent in the WTMM representation helps characterize the strength of the different significant features, and thus by updating the WTMM surface in a number of energy-minimization processes, the discontinuities can be detected and tracked across various resolution levels. On the other hand, the detected discontinuities in turn control spatially the suitable degree of smoothness at various image positions when the surface is fitted to the input data in the energy-minimizing processes. In this way, the discontinuity detection and the surface fitting processes mutually assist each other. Experimental results show that a piecewise smooth surface can be reconstructed without discontinuity being over-smoothed.
URI: http://hdl.handle.net/10397/21644
ISSN: 0031-3203
EISSN: 1873-5142
DOI: 10.1016/S0031-3203(00)00142-4
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