Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
A volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Inference of Surfaces, 3D Curves, and Junctions from Sparse, Noisy, 3D Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Computational Framework for Segmentation and Grouping
Computational Framework for Segmentation and Grouping
Pointshop 3D: an interactive system for point-based surface editing
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Ray Tracing Point Set Surfaces
SMI '03 Proceedings of the Shape Modeling International 2003
Shape modeling with point-sampled geometry
ACM SIGGRAPH 2003 Papers
Approximating and intersecting surfaces from points
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Progressive point set surfaces
ACM Transactions on Graphics (TOG)
Dynamic Sculpting and Deformation of Point Set Surfaces
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Registration of point cloud data from a geometric optimization perspective
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Provably good moving least squares
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Robust moving least-squares fitting with sharp features
ACM SIGGRAPH 2005 Papers
3D scattered data interpolation and approximation with multilevel compactly supported RBFs
Graphical Models - Special issue on SMI 2003
Implicit Meshes for Surface Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Anisotropic point set surfaces
AFRIGRAPH '06 Proceedings of the 4th international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
Enabling scientific workflows in virtual reality
Proceedings of the 2006 ACM international conference on Virtual reality continuum and its applications
Point-based multiscale surface representation
ACM Transactions on Graphics (TOG)
Reassembling fractured objects by geometric matching
ACM SIGGRAPH 2006 Papers
ACM SIGGRAPH 2006 Papers
Diffusion Tensor Visualization with Glyph Packing
IEEE Transactions on Visualization and Computer Graphics
Provably good moving least squares
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Feature-preserving non-local denoising of static and time-varying range data
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Parameterization-free projection for geometry reconstruction
ACM SIGGRAPH 2007 papers
ACM SIGGRAPH 2007 papers
Direct visibility of point sets
ACM SIGGRAPH 2007 papers
Interactive topology-aware surface reconstruction
ACM SIGGRAPH 2007 papers
An adaptive MLS surface for reconstruction with guarantees
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Non-conforming surface representations
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Multi-scale features for approximate alignment of point-based surfaces
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Reliable implicit surface polygonization using visibility mapping
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Data-dependent MLS for faithful surface approximation
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Surface reconstruction using local shape priors
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Moving parabolic approximation of point clouds
Computer-Aided Design
Combining Points and Tangents into Parabolic Polygons
Journal of Mathematical Imaging and Vision
Identification of C1 and C2 discontinuities for surface meshes in CAD
Computer-Aided Design
Point-cloud simplification with bounded geometric deviations
International Journal of Computer Applications in Technology
Provably good moving least squares
ACM Transactions on Algorithms (TALG)
Surface reconstruction from sparse data by a multiscale volumetric approach
ISCGAV'05 Proceedings of the 5th WSEAS International Conference on Signal Processing, Computational Geometry & Artificial Vision
Multiresolution point-set surfaces
GI '08 Proceedings of graphics interface 2008
Adaptive feature-preserving non-local denoising of static and time-varying range data
Computer-Aided Design
Surface reconstruction from point set using projection operator
ACM SIGGRAPH 2008 posters
Implicit Surface Reconstruction from Scattered Point Data with Noise
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Front tracking with moving-least-squares surfaces
Journal of Computational Physics
Direct boolean intersection between acquired and designed geometry
Computer-Aided Design
Interpolatory point set surfaces—convexity and Hermite data
ACM Transactions on Graphics (TOG)
Duplex fitting of zero-level and offset surfaces
Computer-Aided Design
Curve skeleton extraction from incomplete point cloud
ACM SIGGRAPH 2009 papers
Robust denoising of point-sampled surfaces
WSEAS Transactions on Computers
Curvature-aware adaptive re-sampling for point-sampled geometry
Computer-Aided Design
Fast low-memory streaming MLS reconstruction of point-sampled surfaces
Proceedings of Graphics Interface 2009
Consolidation of unorganized point clouds for surface reconstruction
ACM SIGGRAPH Asia 2009 papers
Robust Voronoi-based curvature and feature estimation
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
A novel simplification algorithm based on MLS and Splats for point models
Proceedings of the 2009 Computer Graphics International Conference
Point cloud surfaces using geometric proximity graphs
Computers and Graphics
Dynamic surfel set refinement for high-quality rendering
Computers and Graphics
A survey of point-based techniques in computer graphics
Computers and Graphics
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part II
Out-of-core MLS reconstruction
CGIM '07 Proceedings of the Ninth IASTED International Conference on Computer Graphics and Imaging
Facet detection and visualizing local structure in graphs
GVE '07 Proceedings of the IASTED International Conference on Graphics and Visualization in Engineering
Smoothing of partition of unity implicit surfaces for noise robust surface reconstruction
SGP '09 Proceedings of the Symposium on Geometry Processing
Approximating gradients for meshes and point clouds via diffusion metric
SGP '09 Proceedings of the Symposium on Geometry Processing
Technical Section: Visibility of noisy point cloud data
Computers and Graphics
ASM: An adaptive simplification method for 3D point-based models
Computer-Aided Design
A comparison of sampling strategies for computing general sweeps
Computer-Aided Design
Polygonizing extremal surfaces with manifold guarantees
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
ℓ1-Sparse reconstruction of sharp point set surfaces
ACM Transactions on Graphics (TOG)
Interactive SPH simulation and rendering on the GPU
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Defining, contouring, and visualizing scalar functions on point-sampled surfaces
Computer-Aided Design
Multi-level partition of unity algebraic point set surfaces
Journal of Computer Science and Technology
Image Guided Reconstruction of Un-sampled Data: A Filling Technique for Cultural Heritage Models
International Journal of Computer Vision
Graph-based representations of point clouds
Graphical Models
Removal of surface artifacts of material volume data with defects
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part II
Inference-based procedural modeling of solids
Computer-Aided Design
3D geometry from uncalibrated images
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
3D shape from unorganized 3d point clouds
ISVC'05 Proceedings of the First international conference on Advances in Visual Computing
Bayesian mesh reconstruction from noisy point data
ICAT'06 Proceedings of the 16th international conference on Advances in Artificial Reality and Tele-Existence
Curvature estimation of point-sampled surfaces and its applications
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
Adaptive fourier-based surface reconstruction
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
An efficient implementation of RBF-based progressive point-sampled geometry
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Rendering of unorganized points with octagonal splats
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
Quasi-interpolation for surface reconstruction from scattered data with radial basis function
Computer Aided Geometric Design
A novel skeletonization and animation approach for point models
Transactions on Edutainment VII
Hardware-accelerated extraction and rendering of point set surfaces
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Relief: a modeling by drawing tool
SBM'04 Proceedings of the First Eurographics conference on Sketch-Based Interfaces and Modeling
Proximity graphs for defining surfaces over point clouds
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
The domain of a point set surface
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
On normals and projection operators for surfaces defined by point sets
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
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
A sampling theorem for MLS surfaces
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Computing variation modes for point set surfaces
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Robust filtering of noisy scattered point data
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Surface reconstruction with enriched reproducing kernel particle approximation
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Approximating geodesics on point set surfaces
SPBG'06 Proceedings of the 3rd Eurographics / IEEE VGTC conference on Point-Based Graphics
A survey of methods for moving least squares surfaces
SPBG'08 Proceedings of the Fifth Eurographics / IEEE VGTC conference on Point-Based Graphics
Journal of Scientific Computing
Multi-level hermite variational interpolation and quasi-interpolation
The Visual Computer: International Journal of Computer Graphics
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The MLS surface [Levin 2003], used for modeling and rendering with point clouds, was originally defined algorithmically as the output of a particular meshless construction. We give a new explicit definition in terms of the critical points of an energy function on lines determined by a vector field. This definition reveals connections to research in computer vision and computational topology.Variants of the MLS surface can be created by varying the vector field and the energy function. As an example, we define a similar surface determined by a cloud of surfels (points equipped with normals), rather than points.We also observe that some procedures described in the literature to take points in space onto the MLS surface fail to do so, and we describe a simple iterative procedure which does.