Multivariate interpolation of large sets of scattered data
ACM Transactions on Mathematical Software (TOMS)
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Computational geometry: algorithms and applications
Computational geometry: algorithms and applications
ACM Computing Surveys (CSUR)
Pointshop 3D: an interactive system for point-based surface editing
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Radial basis functions for the multivariate interpolation of large scattered data sets
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
Shape modeling with point-sampled geometry
ACM SIGGRAPH 2003 Papers
Efficient and Stable Numerical Algorithms on Equilibrium Equations for Geometric Modeling
GMP '04 Proceedings of the Geometric Modeling and Processing 2004
ACM SIGGRAPH 2004 Papers
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In this paper we address practical implementation issues of generating a progressive representation of point-sampled geometry. Fast and stable algorithms are proposed to efficiently implement a progressive version of the modified RBF Shepard's method. Comparisons with several well-known methods are presented, showing that the proposed algorithms can achieve good balance between geometric error reduction and time efficiency.