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Abstract: In this paper, we develop an adaptive RBF fitting procedure for a high quality approximation of a set of points scattered over a piecewise smooth surface. We use compactly supported RBFs whose centers are randomly chosen from the points. The randomness is controlled by the point density and surface geometry. For each RBF, its support size is chosen adaptively according to surface geometry at a vicinity of the RBF center. All these lead to a noise-robust high quality approximation of the set. We ... (Update)
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1.6: Multi-scale and Adaptive CS-RBFs for Shape Reconstruction .. - Ohtake, Belyaev, Seidel (2003) (Correct)
0.9: A Multi-scale Approach to 3D Scattered Data Interpolation .. - Ohtake, Belyaev, Seidel (2003) (Correct)
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BibTeX entry: (Update)
@misc{ ohtake-scattered,
author = "Yutaka Ohtake and Alexander Belyaev and Hans-Peter Seidel",
title = "3D Scattered Data Approximation with Adaptive Compactly Supported Radial
Basis Functions",
url = "citeseer.ist.psu.edu/755023.html" }
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