Anisotropic point set surfaces
AFRIGRAPH '06 Proceedings of the 4th international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
A composite approach to meshing scattered data
Graphical Models - Special issue on SPM 05
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
Some notes on radial basis functions and thin plate splines
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Rapid prototyping 3D objects from scanned measurement data
Image and Vision Computing
Error-guided adaptive Fourier-based surface reconstruction
Computer-Aided Design
Reconstruction of solid models from oriented point sets
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Non-conforming surface representations
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Reconstruction with Voronoi centered radial basis functions
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Overfitting control for surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Spectral moving removal of non-isolated surface outlier clusters
Computer-Aided Design
Duplex fitting of zero-level and offset surfaces
Computer-Aided Design
Narrow-band based radial basis functions implicit surface reconstruction
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Recovery of High Order Accuracy in Radial Basis Function Approximations of Discontinuous Problems
Journal of Scientific Computing
Iterative adaptive RBF methods for detection of edges in two-dimensional functions
Applied Numerical Mathematics
Delaunay space division for RBF image reconstruction
Proceedings of the 26th Spring Conference on Computer Graphics
Orthogonal least square RBF based implicit surface reconstruction methods
VSMM'06 Proceedings of the 12th international conference on Interactive Technologies and Sociotechnical Systems
Surface reconstruction based on radial basis functions network
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part III
On the search of optimal reconstruction resolution
Pattern Recognition Letters
Computer Graphics Forum
Enhancing the reconstruction from non-uniform point sets using persistence information
CTIC'12 Proceedings of the 4th international conference on Computational Topology in Image Context
GPU-accelerated volume splatting with elliptical RBFs
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Approximating geodesics on point set surfaces
SPBG'06 Proceedings of the 3rd Eurographics / IEEE VGTC conference on Point-Based Graphics
On visualization and reconstruction from non-uniform point sets using B-splines
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
Splat-based surface reconstruction from defect-laden point sets
Graphical Models
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In this paper, we develop an adaptive RBF fitting procedurefor a high quality approximation of a set of pointsscattered over a piecewise smooth surface. We use compactlysupported RBFs whose centers are randomly chosenfrom the points. The randomness is controlled by the pointdensity and surface geometry. For each RBF, its supportsize is chosen adaptively according to surface geometry ata vicinity of the RBF center. All these lead to a noise-robusthigh quality approximation of the set. We also adapt our basictechnique for shape reconstruction from registered rangescans by taking into account measurement confidences. Finally,an interesting link between our RBF fitting procedureand partition of unity approximations is established and discussed.