Robust and Adaptive Surface Reconstruction using Partition of Unity Implicits

Joao Paulo Gois, Valdecir Polizelli-Junior, Tiago Etiene, Eduardo Tejada, Antonio Castelo, Thomas Ertl, Luis Gustavo Nonato
2007 XX Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI 2007)  
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 J A 1 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
more » ... d to accurately reconstruct the surface locally. Finally, we compare our results with previous work to demonstrate the robustness of our method.
doi:10.1109/sibgrapi.2007.8 dblp:conf/sibgrapi/GoisPETCEN07 fatcat:6fbzhpji35dazh7bwf6jgktivy