Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jcp.2009.11.024
Title: Wavelet frame based scene reconstruction from range data
Authors: Ji, H. 
Shen, Z. 
Xu, Y. 
Keywords: Piecewise smooth function
Scene reconstruction
Sparse representation
Split Bregman method
Tight frame
Issue Date: 20-Mar-2010
Citation: Ji, H., Shen, Z., Xu, Y. (2010-03-20). Wavelet frame based scene reconstruction from range data. Journal of Computational Physics 229 (6) : 2093-2108. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jcp.2009.11.024
Abstract: How to reconstruct the scene (a visible surface) from a set of scattered, noisy and possibly sparse range data is a challenging problem in robotic navigation and computer graphics. As most real scenes can be modeled by piecewise smooth surfaces, traditional surface fitting techniques (e.g. smoothing spline) generally can not preserve sharp discontinuities of surfaces. Based on sparse approximation of piecewise smooth functions in frame domain, we propose a new tight frame based formulation for reconstructing a piecewise smooth surface from a sparse range data set, which is robust to both additive noise and outliers. Furthermore, the resulting minimization problem from our formulation can be efficiently solved by the split Bregman method [1,2]. The numerical experiments show that the proposed approach is capable of reconstructing a piecewise smooth surface with sharp edges from sparse range data corrupted with noise and outliers. © 2009 Elsevier Inc. All rights reserved.
Source Title: Journal of Computational Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/116028
ISSN: 00219991
DOI: 10.1016/j.jcp.2009.11.024
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