Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Normalized Cuts and Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric structures for three-dimensional shape representation
ACM Transactions on Graphics (TOG)
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Estimating surface normals in noisy point cloud data
Proceedings of the nineteenth annual symposium on Computational geometry
Discrete multiscale vector field decomposition
ACM SIGGRAPH 2003 Papers
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
Shape modeling with point-sampled geometry
ACM SIGGRAPH 2003 Papers
Estimating differential quantities using polynomial fitting of osculating jets
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Spectral surface reconstruction from noisy point clouds
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Implicit surface modelling as an eigenvalue problem
ICML '05 Proceedings of the 22nd international conference on Machine learning
A Surface Reconstruction Method Using Global Graph Cut Optimization
International Journal of Computer Vision
Provably good sampling and meshing of surfaces
Graphical Models - Solid modeling theory and applications
Anisotropic smoothing of point sets
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Discrete differential forms for computational modeling
ACM SIGGRAPH 2006 Courses
Curve and Surface Reconstruction: Algorithms with Mathematical Analysis (Cambridge Monographs on Applied and Computational Mathematics)
Tensor Voting: A Perceptual Organization Approach to Computer Vision and Machine Learning (Synthesis Lectures on Image, Video, and Multimedia Processing)
Setting the boundary free: a composite approach to surface parameterization
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Poisson surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Principal curvatures from the integral invariant viewpoint
Computer Aided Geometric Design
On the normal vector estimation for point cloud data from smooth surfaces
Computer-Aided Design
Bilateral estimation of vertex normal for point-sampled models
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and its Applications - Volume Part I
Smooth surface reconstruction via natural neighbour interpolation of distance functions
Computational Geometry: Theory and Applications
Normal estimation for point clouds: a comparison study for a Voronoi based method
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Extracting lines of curvature from noisy point clouds
Computer-Aided Design
From Segmented Images to Good Quality Meshes Using Delaunay Refinement
Emerging Trends in Visual Computing
Robust Voronoi-based curvature and feature estimation
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Robust mesh reconstruction from unoriented noisy points
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Computer Aided Geometric Design
Surface Reconstruction of Engine Intake Ports with Mixed Constraints
ICIRA '09 Proceedings of the 2nd International Conference on Intelligent Robotics and Applications
Spectral conformal parameterization
SGP '08 Proceedings of the Symposium on Geometry Processing
Smoothing of partition of unity implicit surfaces for noise robust surface reconstruction
SGP '09 Proceedings of the Symposium on Geometry Processing
Isotopic reconstruction of surfaces with boundaries
SGP '09 Proceedings of the Symposium on Geometry Processing
Technical Section: Robust normal estimation for point clouds with sharp features
Computers and Graphics
Reconstructing a mesh from a point cloud by using a moving parabolic approximation
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
SMI 2011: Full Paper: Localized Cocone surface reconstruction
Computers and Graphics
Fusion of depth maps with multiple scales
Proceedings of the 2011 SIGGRAPH Asia Conference
Towards the automatic generation of 3D photo-realistic avatars using 3D scanned data
MIRAGE'11 Proceedings of the 5th international conference on Computer vision/computer graphics collaboration techniques
Quasi-interpolation for surface reconstruction from scattered data with radial basis function
Computer Aided Geometric Design
Detail-feature-preserving surface reconstruction
Computer Animation and Virtual Worlds
Fast and Robust Normal Estimation for Point Clouds with Sharp Features
Computer Graphics Forum
Feature-Preserving Reconstruction of Singular Surfaces
Computer Graphics Forum
Hierarchical surface reconstruction from multi-resolution point samples
Proceedings of the 15th international conference on Theoretical Foundations of Computer Vision: outdoor and large-scale real-world scene analysis
O-snap: Optimization-based snapping for modeling architecture
ACM Transactions on Graphics (TOG)
Edge-aware point set resampling
ACM Transactions on Graphics (TOG)
Journal of Scientific Computing
A benchmark for surface reconstruction
ACM Transactions on Graphics (TOG)
Efficient computation of clipped Voronoi diagram for mesh generation
Computer-Aided Design
Robust inside-outside segmentation using generalized winding numbers
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Scalable real-time volumetric surface reconstruction
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Technical Section: Reconstructing shape boundaries with multimodal constraints
Computers and Graphics
Screened poisson surface reconstruction
ACM Transactions on Graphics (TOG)
Multi-level hermite variational interpolation and quasi-interpolation
The Visual Computer: International Journal of Computer Graphics
SMI 2013: Voronoi-based feature curves extraction for sampled singular surfaces
Computers and Graphics
SMI 2013: Point cloud normal estimation via low-rank subspace clustering
Computers and Graphics
SIGGRAPH Asia 2013 Technical Briefs
Splat-based surface reconstruction from defect-laden point sets
Graphical Models
Feature-Preserving Surface Reconstruction and Simplification from Defect-Laden Point Sets
Journal of Mathematical Imaging and Vision
Watertight scenes from urban LiDar and planar surfaces
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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We introduce an algorithm for reconstructing watertight surfaces from unoriented point sets. Using the Voronoi diagram of the input point set, we deduce a tensor field whose principal axes and eccentricities locally represent respectively the most likely direction of the normal to the surface, and the confidence in this direction estimation. An implicit function is then computed by solving a generalized eigenvalue problem such that its gradient is most aligned with the principal axes of the tensor field, providing a best-fitting isosurface reconstruction. Our approach possesses a number of distinguishing features. In particular, the implicit function optimization provides resilience to noise, adjustable fitting to the data, and controllable smoothness of the reconstructed surface. Finally, the use of simplicial meshes (possibly restricted to a thin crust around the input data) and (an)isotropic Laplace operators renders the numerical treatment simple and robust.