A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
A new Voronoi-based surface reconstruction algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Anisotropic nonlinear diffusion in flow visualization
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Meshless parameterization and surface reconstruction
Computer Aided Geometric Design
Anisotropic geometric diffusion in surface processing
Proceedings of the conference on Visualization '00
Geometric surface smoothing via anisotropic diffusion of normals
Proceedings of the conference on Visualization '02
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Estimating the tensor of curvature of a surface from a polyhedral approximation
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Fairing of Point Based Surfaces
CGI '04 Proceedings of the Computer Graphics International
Consolidation of unorganized point clouds for surface reconstruction
ACM SIGGRAPH Asia 2009 papers
Stability of curvature measures
SGP '09 Proceedings of the Symposium on Geometry Processing
Technical Section: Robust normal estimation for point clouds with sharp features
Computers and Graphics
Technical Section: Mesh reconstruction by meshless denoising and parameterization
Computers and Graphics
A local tangential lifting differential method for triangular meshes
Mathematics and Computers in Simulation
Defining, contouring, and visualizing scalar functions on point-sampled surfaces
Computer-Aided Design
Curvature estimation for meshes based on vertex normal triangles
Computer-Aided Design
Detail-Preserving local editing for point-sampled geometry
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Bootstrap-based normal reconstruction
Proceedings of the 7th international conference on Curves and Surfaces
Robust filtering of noisy scattered point data
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
A framework for 3D model reconstruction in reverse engineering
Computers and Industrial Engineering
Edge-aware point set resampling
ACM Transactions on Graphics (TOG)
SMI 2013: Feature-aware filtering for point-set surface denoising
Computers and Graphics
SMI 2013: Point cloud normal estimation via low-rank subspace clustering
Computers and Graphics
Consolidation of low-quality point clouds from outdoor scenes
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
Hi-index | 0.00 |
The use of point sets instead of meshes became more popular during the last years. We present a new method for anisotropic fairing of a point sampled surface using an anisotropic geometric mean curvature flow. The main advantage of our approach is that the evolution removes noise from a point set while it detects and enhances geometric features of the surface such as edges and corners. We derive a shape operator, principal curvature properties of a point set, and an anisotropic Laplacian of the surface. This anisotropic Laplacian reflects curvature properties which can be understood as the point set analogue of Taubin's curvature-tensor for polyhedral surfaces. We combine these discrete tools with techniques from geometric diffusion and image processing. Several applications demonstrate the efficiency and accuracy of our method.