Ridge-valley lines on meshes via implicit surface fitting
ACM SIGGRAPH 2004 Papers
Surface Reconstruction of Noisy and Defective Data Sets
VIS '04 Proceedings of the conference on Visualization '04
3D scattered data interpolation and approximation with multilevel compactly supported RBFs
Graphical Models - Special issue on SMI 2003
Sparse surface reconstruction with adaptive partition of unity and radial basis functions
Graphical Models - Special issue on SMI 2004
Technical Section: Stochastic visualization of intersection curves of implicit surfaces
Computers and Graphics
Optimization based grayscale image colorization
Pattern Recognition Letters
Overfitting control for surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
EURASIP Journal on Applied Signal Processing
ICCOMP'05 Proceedings of the 9th WSEAS International Conference on Computers
Implicit Surface Reconstruction from Scattered Point Data with Noise
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Implicit Surface Reconstruction with an Analogy of Polar Field Model
PSIVT '09 Proceedings of the 3rd Pacific Rim Symposium on Advances in Image and Video Technology
Fast low-memory streaming MLS reconstruction of point-sampled surfaces
Proceedings of Graphics Interface 2009
Finding ridges and valleys in a discrete surface using a modified MLS approximation
Computer-Aided Design
Finding ridges and valleys in a discrete surface using a modified MLS approximation
Computer-Aided Design
A hierarchical sampling approach for polygonizing variational implicit surfaces
Computers and Graphics
Efficient surface reconstruction from noisy data using regularized membrane potentials
IEEE Transactions on Image Processing
Point sampled surface reconstruction based on local geometry
Edutainment'07 Proceedings of the 2nd international conference on Technologies for e-learning and digital entertainment
A system for reconstruction of solid models from large point clouds
Machine Graphics & Vision International Journal
Narrow-band based radial basis functions implicit surface reconstruction
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Adaptive surface reconstruction based on implicit PHT-splines
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Nonlocal multiscale hierarchical decomposition on graphs
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part IV
Geometric transformation of the RBF implicit surface
Proceedings of the 9th ACM SIGGRAPH Conference on Virtual-Reality Continuum and its Applications in Industry
Delaunay space division for RBF image reconstruction
Proceedings of the 26th Spring Conference on Computer Graphics
Parallel and adaptive surface reconstruction based on implicit PHT-splines
Computer Aided Geometric Design
Orthogonal least square RBF based implicit surface reconstruction methods
VSMM'06 Proceedings of the 12th international conference on Interactive Technologies and Sociotechnical Systems
Appearance and geometry completion with constrained texture synthesis
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Adaptive point-cloud surface interpretation
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Surface reconstruction based on radial basis functions network
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part III
Journal of Computational Physics
Efficient surface reconstruction from noisy data using regularized membrane potentials
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Efficient and prioritized point subsampling for CSRBF compression
SPBG'06 Proceedings of the 3rd Eurographics / IEEE VGTC conference on Point-Based Graphics
Variational volumetric surface reconstruction from unorganized points
VG'07 Proceedings of the Sixth Eurographics / Ieee VGTC conference on Volume Graphics
Surface reconstruction from noisy point clouds using coulomb potentials
VG'07 Proceedings of the Sixth Eurographics / Ieee VGTC conference on Volume Graphics
Journal of Scientific Computing
Extraction of ridge and valley lines from unorganized points
Multimedia Tools and Applications
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In this paper, we propose a hierarchical approach to 3Dscattered data interpolation with compactly supported basisfunctions. Our numerical experiments suggest that theapproach integrates the best aspects of scattered data fittingwith locally and globally supported basis functions.Employing locally supported functions leads to an efficientcomputational procedure, while a coarse-to-fine hierarchymakes our method insensitive to the density of scattereddata and allows us to restore large parts of missed data.Given a point cloud distributed along a surface, we firstuse spatial down sampling to construct a coarse-to-fine hierarchyof point sets. Then we interpolate the sets startingfrom the coarsest level. We interpolate a point set of the hierarchy,as an offsetting of the interpolating function computedat the previous level. Fig. 1 shows an original pointset (the leftmost image) and its coarse-to-fine hierarchy ofinterpolated sets.According to our numerical experiments, the method isessentially faster than the state-of-art scattered data approximationwith globally supported RBFs [9] and muchsimpler to implement.