Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Three-dimensional alpha shapes
ACM Transactions on Graphics (TOG)
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
Comparing methods of interpolation for scattered volumetric data
State of the art in computer graphics
A volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
BLaC-Wavelets: a multiresolution analysis with non-nested spaces
Proceedings of the 7th conference on Visualization '96
Shape transformation using variational implicit functions
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Weights for computing vertex normals from facet normals
Journal of Graphics Tools
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Geometric surface smoothing via anisotropic diffusion of normals
Proceedings of the conference on Visualization '02
Isometric embedding by surface reconstruction from distances
Proceedings of the conference on Visualization '02
Approximating normals for marching cubes applied to locally supported isosurfaces
Proceedings of the conference on Visualization '02
Surface Reconstruction - An Introduction
Dagstuhl '97, Scientific Visualization
Tools for Triangulations and Tetrahedrizations
Scientific Visualization, Overviews, Methodologies, and Techniques
Global and local deformations of solid primitives
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Fast Surface Reconstruction Using the Level Set Method
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
VIS '04 Proceedings of the conference on Visualization '04
Signed Distance Transform Using Graphics Hardware
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Fairing Scalar Fields by Variational Modeling of Contours
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
IEEE Transactions on Visualization and Computer Graphics
Similarity-Guided Streamline Placement with Error Evaluation
IEEE Transactions on Visualization and Computer Graphics
MLS-based scalar fields over triangle meshes and their application in mesh processing
Proceedings of the 2009 symposium on Interactive 3D graphics and games
Computing - Geometric Modelling, Dagstuhl 2008
Detail-Preserving local editing for point-sampled geometry
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Hierarchically partitioned implicit surfaces for interpolating large point set models
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
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We describe a new technique for fitting scattered point cloud data. Given a scattered point cloud of 3D data points and associated normal vectors, our new method produces an implicit volume model whose zero level isosurface interpolates the given points and associated normal vectors. In this paper, we concentrate on certain application of these new volume modeling techniques. We take existing polygon mesh surfaces and use the present methods to construct implicit volume models for these surfaces. Implicit models allow for the application of Boolean operations on these surfaces through the techniques of constructive solid geometry. Also, standard wavelet and filter operators can be applied to the implicit volume model leading to effective smoothing and filtering algorithms which are simple to implement.