Direct least-squares fitting of algebraic surfaces
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
SIGGRAPH '92 Proceedings of the 19th 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
Spatial tessellations: concepts and applications of Voronoi diagrams
Spatial tessellations: concepts and applications of Voronoi diagrams
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Physically-based methods for polygonization of implicit surfaces
Proceedings of the conference on Graphics interface '92
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Surface fitting to scattered data by a sum of Gaussians
Computer Aided Geometric Design
Using particles to sample and control implicit surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Zippered polygon meshes from range images
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
Automatic reconstruction of surfaces and scalar fields from 3D scans
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
A volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Fitting smooth surfaces to dense polygon meshes
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Building and traversing a surface at variable resolution
VIS '97 Proceedings of the 8th conference on Visualization '97
Isosurface extraction using particle systems
VIS '97 Proceedings of the 8th conference on Visualization '97
Hierarchical back-face computation
Proceedings of the eurographics workshop on Rendering techniques '96
A new Voronoi-based surface reconstruction algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Efficient implementation of multi-triangulations
Proceedings of the conference on Visualization '98
Converting sets of polygons to manifold surfaces by cutting and stitching
Proceedings of the conference on Visualization '98
The approximation power of moving least-squares
Mathematics of Computation
Creating generative models from range images
Proceedings of the 26th 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
Curve reconstruction from unorganized points
Computer Aided Geometric Design
The digital Michelangelo project: 3D scanning of large statues
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Surfels: surface elements as rendering primitives
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
QSplat: a multiresolution point rendering system for large meshes
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Geometric structures for three-dimensional shape representation
ACM Transactions on Graphics (TOG)
Streaming QSplat: a viewer for networked visualization of large, dense models
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Proceedings of the conference on Visualization '01
Hybrid simplification: combining multi-resolution polygon and point rendering
Proceedings of the conference on Visualization '01
POP: a hybrid point and polygon rendering system for large data
Proceedings of the conference on Visualization '01
Alias-Free Voxelization of Geometric Objects
IEEE Transactions on Visualization and Computer Graphics
The Ball-Pivoting Algorithm for Surface Reconstruction
IEEE Transactions on Visualization and Computer Graphics
Computer
Ray Tracing Point Sampled Geometry
Proceedings of the Eurographics Workshop on Rendering Techniques 2000
Proceedings of the 12th Eurographics Workshop on Rendering Techniques
3L Fitting of Higher Degree Implicit Polynomials
WACV '96 Proceedings of the 3rd IEEE Workshop on Applications of Computer Vision (WACV '96)
Consensus Surfaces for Modeling 3D Objects from Multiple Range Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Vision: A Computational Investigation into the Human Representation and Processing of Visual Information
Real-time rendering of real world environments
EGWR'99 Proceedings of the 10th Eurographics conference on Rendering
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
ACM SIGGRAPH 2004 Papers
Energy-minimizing splines in manifolds
ACM SIGGRAPH 2004 Papers
Interpolating and approximating implicit surfaces from polygon soup
ACM SIGGRAPH 2004 Papers
Scalar-Function-Driven Editing on Point Set Surfaces
IEEE Computer Graphics and Applications
Point based animation of elastic, plastic and melting objects
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Touch-Based Haptics for Interactive Editing on Point Set Surfaces
IEEE Computer Graphics and Applications
Multiresolution free form object modeling with point sampled geometry
Journal of Computer Science and Technology - Special issue on computer graphics and computer-aided design
Progressive transmission of point set surfaces based on geometry image representation
VRCAI '04 Proceedings of the 2004 ACM SIGGRAPH international conference on Virtual Reality continuum and its applications in industry
Provably good moving least squares
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Anisotropic smoothing of point sets
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Meshless Thin-Shell Simulation Based on Global Conformal Parameterization
IEEE Transactions on Visualization and Computer Graphics
Reconstructing multi-scale variational partition of unity implicit surfaces with attributes
Graphical Models - Special issue on SMI 2004
Implicit surface visualization of reconstructed biological molecules
Theoretical Computer Science - In memoriam: Alberto Del Lungo (1965-2003)
Nice and fast implicit surfaces over noisy point clouds
SIGGRAPH '04 ACM SIGGRAPH 2004 Sketches
Interpolating and approximating implicit surfaces from polygon soup
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Provably good moving least squares
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Middleware for streaming 3D progressive meshes over lossy networks
ACM Transactions on Multimedia Computing, Communications, and Applications (TOMCCAP)
ACM SIGGRAPH 2007 papers
Direct visibility of point sets
ACM SIGGRAPH 2007 papers
Multi-scale features for approximate alignment of point-based surfaces
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Overfitting control for surface reconstruction
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
Meshless geometric subdivision
Graphical Models
Three-Dimensional Surface Mesh Segmentation Using Curvedness-Based Region Growing Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Point-cloud simplification with bounded geometric deviations
International Journal of Computer Applications in Technology
Provably good moving least squares
ACM Transactions on Algorithms (TALG)
Visibility-based feature extraction from discrete models
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Multiresolution point-set surfaces
GI '08 Proceedings of graphics interface 2008
Robust filtering in a laser scanner point cloud
Machine Graphics & Vision International Journal
An extension on robust directed projection of points onto point clouds
Computer-Aided Design
Point-Sampled Surface Simulation Based on Mass-Spring System
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Covering Minkowski sum boundary using points with applications
Computer Aided Geometric Design
Front tracking with moving-least-squares surfaces
Journal of Computational Physics
Towards 3D Point cloud based object maps for household environments
Robotics and Autonomous Systems
Fast PDE approach to surface reconstruction from large cloud of points
Computer Vision and Image Understanding
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
Direct boolean intersection between acquired and designed geometry
Computer-Aided Design
Interpolatory point set surfaces—convexity and Hermite data
ACM Transactions on Graphics (TOG)
3D Model Segmentation and Representation with Implicit Polynomials
IEICE - Transactions on Information and Systems
Robust principal axes determination for point-based shapes using least median of squares
Computer-Aided Design
Interactive Hausdorff distance computation for general polygonal models
ACM SIGGRAPH 2009 papers
Shape from Depth Discontinuities
Emerging Trends in Visual Computing
Curvature-aware adaptive re-sampling for point-sampled geometry
Computer-Aided Design
Technical Section: Variational Bayesian noise estimation of point sets
Computers and Graphics
Interactive part selection for mesh and point models using hierarchical graph-cut partitioning
Proceedings of Graphics Interface 2009
Consolidation of unorganized point clouds for surface reconstruction
ACM SIGGRAPH Asia 2009 papers
Robust mesh reconstruction from unoriented noisy points
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
Anisotropic smoothing of point sets
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
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
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
Out-of-core MLS reconstruction
CGIM '07 Proceedings of the Ninth IASTED International Conference on Computer Graphics and Imaging
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
A survey on CAD methods in 3D garment design
Computers in Industry
ℓ1-Sparse reconstruction of sharp point set surfaces
ACM Transactions on Graphics (TOG)
Cone carving for surface reconstruction
ACM SIGGRAPH Asia 2010 papers
Spectral sampling of manifolds
ACM SIGGRAPH Asia 2010 papers
Extraction of the lines of curvature from raw point cloud
Proceedings of the 9th ACM SIGGRAPH Conference on Virtual-Reality Continuum and its Applications in Industry
A local-frame based method for vector field construction on raw point cloud
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part I
GlobFit: consistently fitting primitives by discovering global relations
ACM SIGGRAPH 2011 papers
Calcolo: a quarterly on numerical analysis and theory of computation
Multi-level partition of unity algebraic point set surfaces
Journal of Computer Science and Technology
SMI 2011: Full Paper: Harmonic point cloud orientation
Computers and Graphics
Wavelet frame based surface reconstruction from unorganized points
Journal of Computational Physics
Multi-view stereo point clouds visualization
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part I
Inference-based procedural modeling of solids
Computer-Aided Design
A point-based approach to PDE-Based surface reconstruction
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
A new interpolation method in mesh reconstruction from 3D point cloud
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
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
Practical boolean operations on point-sampled models
ICCSA'06 Proceedings of the 6th international conference on Computational Science and Its Applications - Volume Part I
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
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
Progressive decomposition of point clouds without local planes
ICVGIP'06 Proceedings of the 5th Indian conference on Computer Vision, Graphics and Image Processing
Dynamic compression of curve-based point cloud
PSIVT'11 Proceedings of the 5th Pacific Rim conference on Advances in Image and Video Technology - Volume Part II
SMI 2012: Full Consensus meshing
Computers and Graphics
B-spline surface fitting by iterative geometric interpolation/approximation algorithms
Computer-Aided Design
Visible neighborhood graph of point clouds
Graphical Models
Detail-feature-preserving surface reconstruction
Computer Animation and Virtual Worlds
Mesh connection with RBF local interpolation and wavelet transform
Proceedings of the Third Symposium on Information and Communication Technology
A Simulation System Based on OGRE and PhysX for Flexible Aircraft Assembly
PADS '12 Proceedings of the 2012 ACM/IEEE/SCS 26th Workshop on Principles of Advanced and Distributed Simulation
A point-based approach for capture, display and illustration of very complex archeological artefacts
VAST'04 Proceedings of the 5th International conference on Virtual Reality, Archaeology and Intelligent Cultural Heritage
Hardware-accelerated extraction and rendering of point set surfaces
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Real-time point cloud refinement
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Compression of point-based 3D models by shape-adaptive wavelet coding of multi-height fields
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
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
Voronoi rasterization of sparse point sets
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
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
Octree-based point-cloud compression
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
Simultaneous GPU-assisted raycasting of unstructured point sets and volumetric grid data
VG'07 Proceedings of the Sixth Eurographics / Ieee VGTC conference on Volume Graphics
Online point-cloud transmission for tele-immersion
Proceedings of the 11th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and its Applications in Industry
Edge-aware point set resampling
ACM Transactions on Graphics (TOG)
Accurate reconstruction of engineered models with surfaces of revolution
Proceedings of the Eighth Indian Conference on Computer Vision, Graphics and Image Processing
A benchmark for surface reconstruction
ACM Transactions on Graphics (TOG)
Extraction of ridge and valley lines from unorganized points
Multimedia Tools and Applications
SMI 2013: Feature-aware filtering for point-set surface denoising
Computers and Graphics
An adaptive normal estimation method for scanned point clouds with sharp features
Computer-Aided Design
Iso-parametric tool-path planning for point clouds
Computer-Aided Design
SIGGRAPH Asia 2013 Technical Briefs
Splat-based surface reconstruction from defect-laden point sets
Graphical Models
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We advocate the use of point sets to represent shapes. We provide a definition of a smooth manifold surface from a set of points close to the original surface. The definition is based on local maps from differential geometry, which are approximated by the method of moving least squares (MLS). The computation of points on the surface is local, which results in an out-of-core technique that can handle any point set. We show that the approximation error is bounded and present tools to increase or decrease the density of the points, thus allowing an adjustment of the spacing among the points to control the error. To display the point set surface, we introduce a novel point rendering technique. The idea is to evaluate the local maps according to the image resolution. This results in high quality shading effects and smooth silhouettes at interactive frame rates.