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Robust and adaptive surface reconstruction using partition of unity implicits

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Author(s):
Gois, Joao Paulo ; Polizelli, Valdecir, Jr. ; Etiene, Tiago ; Tejada, Eduardo ; Castelo, Antonio ; Ertl, Thomas ; Nonato, Luis Gustavo
Total Authors: 7
Document type: Journal article
Source: 2009 XXII BRAZILIAN SYMPOSIUM ON COMPUTER GRAPHICS AND IMAGE PROCESSING (SIBGRAPI 2009); v. N/A, p. 3-pg., 2007-01-01.
Abstract

Implicit surface reconstruction from unorganized point sets has been recently approached with methods based on multi-level partition of unity. We improve this approach by addressing local approximation robustness and. iso-surface extraction issues. Our method relies on the if triangulation to perform both the spatial subdivision and the isosurface extraction. We also make use of orthogonal polynomials to provide adaptive local approximations in which the degree of the polynomial can be adjusted to accurately reconstruct the surface locally. Finally, we compare our results with previous work to demonstrate the robustness of our method. (AU)