Article ID Journal Published Year Pages File Type
519283 Journal of Computational Physics 2011 9 Pages PDF
Abstract

Applications of wavelet frames to image restoration problems (e.g. image deblurring and inpainting) have been successful due to their redundancy and capability of sparsely approximating piecewise smooth functions like images (see e.g. [13], [14] and [8]). However, wavelet frames have not yet been used for surface reconstruction problems. Recently in [6], connections between one of the wavelet frame based image restoration model [8], [28] and [48] and variational models (e.g. the ROF model [45]) were rigorously established. Such connections not only grant new insights to wavelet frame based image restorations, it also case a geometric explanation to wavelet frame based approaches. This leads us to a wavelet frame based model, as well as a fast algorithm, to reconstruct implicit surfaces from unorganized point sets in R3R3. We will demonstrate the effectiveness of the proposed model using several commonly used examples.

► New wavelet frame based model is proposed for surface reconstruction. ► Motivation is from the recent work [6]. ► Fast numerical algorithm is also proposed. ► Numerical results show effectiveness of the proposed model.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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