Distance approximations for rasterizing implicit curves
ACM Transactions on Graphics (TOG)
An implicit surface polygonizer
Graphics gems IV
Surface reconstruction by Voronoi filtering
Proceedings of the fourteenth annual symposium on Computational geometry
Smooth surface reconstruction via natural neighbour interpolation of distance functions
Proceedings of the sixteenth annual symposium on Computational geometry
On the design of CGAL a computational geometry algorithms library
Software—Practice & Experience - Special issue on discrete algorithm engineering
Proceedings of the sixth ACM symposium on Solid modeling and applications
Proceedings of the sixth ACM symposium on Solid modeling and applications
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Delaunay based shape reconstruction from large data
PVG '01 Proceedings of the IEEE 2001 symposium on parallel and large-data visualization and graphics
Modelling with implicit surfaces that interpolate
ACM Transactions on Graphics (TOG)
Surface reconstruction using umbrella filters
Computational Geometry: Theory and Applications - Special issue on: Sixteenth European Workshop on Computational Geometry (EUROCG-2000)
Scattered Data Techniques for Surfaces
Dagstuhl '97, Scientific Visualization
Radial Basis Functions
Multiresolution Methods in Scattered Data Modelling
Multiresolution Methods in Scattered Data Modelling
Provable surface reconstruction from noisy samples
SCG '04 Proceedings of the twentieth annual symposium on Computational geometry
3D Scattered Data Approximation with Adaptive Compactly Supported Radial Basis Functions
SMI '04 Proceedings of the Shape Modeling International 2004
A greedy Delaunay-based surface reconstruction algorithm
The Visual Computer: International Journal of Computer Graphics
Spectral surface reconstruction from noisy point clouds
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Graphical Models
Surface reconstruction from point clouds by transforming the medial scaffold
Computer Vision and Image Understanding
Robust mesh reconstruction from unoriented noisy points
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Robust skeletonization using the discrete λ-medial axis
Pattern Recognition Letters
SMI 2011: Full Paper: Localized Cocone surface reconstruction
Computers and Graphics
From A Medial Surface To A Mesh
Computer Graphics Forum
Proceedings of the 6th International Conference on Computer Vision / Computer Graphics Collaboration Techniques and Applications
Least-squares hermite radial basis functions implicits with adaptive sampling
Proceedings of Graphics Interface 2013
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We consider the problem of reconstructing a surface from scattered points sampled on a physical shape. The sampled shape is approximated as the zero level set of a function. This function is defined as a linear combination of compactly supported radial basis functions. We depart from previous work by using as centers of basis functions a set of points located on an estimate of the medial axis, instead of the input data points. Those centers are selected among the vertices of the Voronoi diagram of the sample data points. Being a Voronoi vertex, each center is associated with a maximal empty ball. We use the radius of this ball to adapt the support of each radial basis function. Our method can fit a user-defined budget of centers: The selected subset of Voronoi vertices is filtered using the notion of lambda medial axis, then clustered to fit the allocated budget.