Multivariate interpolation of large sets of scattered data
ACM Transactions on Mathematical Software (TOMS)
Volumetric shape description of range data using “Blobby Model”
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
IEEE Transactions on Pattern Analysis and Machine Intelligence
Free-form blending: a technique for creating piecewise implicit surfaces
Topics in surface modeling
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Three-dimensional alpha shapes
ACM Transactions on Graphics (TOG)
An implicit surface polygonizer
Graphics gems IV
Special finite element methods for a class of second order elliptic problems with rough coefficients
SIAM Journal on Numerical Analysis
Zippered polygon meshes from range images
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Implicit reconstruction of solids from cloud point sets
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
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 volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd 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
The digital Michelangelo project: 3D scanning of large statues
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Adaptively sampled distance fields: a general representation of shape for computer graphics
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Feature sensitive surface extraction from volume data
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Dual/Primal mesh optimization for polygonized implicit surfaces
Proceedings of the seventh ACM symposium on Solid modeling and applications
Dual contouring of hermite data
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Hierarchical scattered data filtering for multilevel interpolation schemes
Mathematical Methods for Curves and Surfaces
Modelling with implicit surfaces that interpolate
ACM Transactions on Graphics (TOG)
A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs
SIAM Journal on Scientific Computing
A Particle-Partition of Unity Method--Part III: A Multilevel Solver
SIAM Journal on Scientific Computing
Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods
SIAM Journal on Scientific Computing
Proceedings of the conference on Visualization '01
Reconstructing Surfaces by Volumetric Regularization Using Radial Basis Functions
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Multi-scale Approach to 3D Scattered Data Interpolation with Compactly Supported Basis Functions
SMI '03 Proceedings of the Shape Modeling International 2003
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Progressive point set surfaces
ACM Transactions on Graphics (TOG)
Approximating and intersecting surfaces from points
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Simulating water and smoke with an octree data structure
ACM SIGGRAPH 2004 Papers
Ridge-valley lines on meshes via implicit surface fitting
ACM SIGGRAPH 2004 Papers
Context-based surface completion
ACM SIGGRAPH 2004 Papers
Robust repair of polygonal models
ACM SIGGRAPH 2004 Papers
Interpolating and approximating implicit surfaces from polygon soup
ACM SIGGRAPH 2004 Papers
Variational shape approximation
ACM SIGGRAPH 2004 Papers
Scalar-Function-Driven Editing on Point Set Surfaces
IEEE Computer Graphics and Applications
Interactive modelling from sketches using spherical implicit functions
AFRIGRAPH '04 Proceedings of the 3rd international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
Adaptive hierarchical RBF interpolation for creating smooth digital elevation models
Proceedings of the 12th annual ACM international workshop on Geographic information systems
Touch-Based Haptics for Interactive Editing on Point Set Surfaces
IEEE Computer Graphics and Applications
Surface Reconstruction of Noisy and Defective Data Sets
VIS '04 Proceedings of the conference on Visualization '04
Spectral surface reconstruction from noisy point clouds
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
An integrating approach to meshing scattered point data
Proceedings of the 2005 ACM symposium on Solid and physical modeling
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
Animating gases with hybrid meshes
ACM SIGGRAPH 2005 Papers
3D scattered data interpolation and approximation with multilevel compactly supported RBFs
Graphical Models - Special issue on SMI 2003
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
A New Combinatorial Approach to Surface Reconstruction with Sharp Features
IEEE Transactions on Visualization and Computer Graphics
Generalized sweep templates for implicit modeling
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Implicit Meshes for Surface Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometry and Convergence Analysis of Algorithms for Registration of 3D Shapes
International Journal of Computer Vision
Sparse surface reconstruction with adaptive partition of unity and radial basis functions
Graphical Models - Special issue on SMI 2004
Reconstructing multi-scale variational partition of unity implicit surfaces with attributes
Graphical Models - Special issue on SMI 2004
Graphical Models - Special issue on SMI 2004
ACM SIGGRAPH 2006 Papers
A composite approach to meshing scattered data
Graphical Models - Special issue on SPM 05
Detail sculpting using cubical marching squares
Proceedings of the 2005 international conference on Augmented tele-existence
GPU-based rendering of sparse low-degree implicit surfaces
Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia
Vectorfield isosurface-based reconstruction from oriented points
SIGGRAPH '05 ACM SIGGRAPH 2005 Sketches
Topological Equivalence between a 3D Object and the Reconstruction of Its Digital Image
IEEE Transactions on Pattern Analysis and Machine Intelligence
Accurate and Scalable Surface Representation and Reconstruction from Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Some notes on radial basis functions and thin plate splines
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
A shape design system using volumetric implicit PDEs
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
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
Active contours using a constraint-based implicit representation
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Spline approximation of general volumetric data
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Meshing genus-1 point clouds using discrete one-forms
Computers and Graphics
Efficient preconditioning for image reconstruction with radial basis functions
Advances in Engineering Software
A flexible framework for surface reconstruction from large point sets
Computers and Graphics
Technical Section: Stochastic visualization of intersection curves of implicit surfaces
Computers and Graphics
Surface and normal ensembles for surface reconstruction
Computer-Aided Design
Error-guided adaptive Fourier-based surface reconstruction
Computer-Aided Design
Surface Rendering for Parallel Slices of Contours from Medical Imaging
Computing in Science and Engineering
Stylized Rendering for Anatomic Visualization
Computing in Science and Engineering
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
Isosurface stuffing: fast tetrahedral meshes with good dihedral angles
ACM SIGGRAPH 2007 papers
Lines of curvature and umbilical points for implicit surfaces
Computer Aided Geometric Design
An adaptive MLS surface for reconstruction with guarantees
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Triangulating point set surfaces with bounded error
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Reconstruction of solid models from oriented point sets
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
Hierarchical error-driven approximation of implicit surfaces from polygonal meshes
SGP '06 Proceedings of the fourth 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
Error bounds and optimal neighborhoods for MLS approximation
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Reliable implicit surface polygonization using visibility mapping
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Overfitting control for surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Voronoi-based variational reconstruction of unoriented point sets
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Data-dependent MLS for faithful surface approximation
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Multilevel streaming for out-of-core surface reconstruction
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Unconstrained isosurface extraction on arbitrary octrees
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Bayesian surface reconstruction via iterative scan alignment to an optimized prototype
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Ridge based curve and surface reconstruction
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
An accurate sampling-based method for approximating geometry
Computer-Aided Design
Cycle bases of graphs and sampled manifolds
Computer Aided Geometric Design
Technical Section: A classification-based rendering method for point models
Computers and Graphics
Efficient Surface Reconstruction using Generalized Coulomb Potentials
IEEE Transactions on Visualization and Computer Graphics
A Sharpness-Dependent Filter for Recovering Sharp Features in Repaired 3D Mesh Models
IEEE Transactions on Visualization and Computer Graphics
Dual evolution of planar parametric spline curves and T-spline level sets
Computer-Aided Design
Optimal multi-degree reduction of triangular Bézier surfaces with corners continuity in the norm L2
Journal of Computational and Applied Mathematics
Provably good moving least squares
ACM Transactions on Algorithms (TALG)
ICCOMP'05 Proceedings of the 9th WSEAS International Conference on Computers
Frequency-based representation of 3D point-based surfaces using spherical harmonics
Machine Graphics & Vision International Journal
Space-time surface reconstruction using incompressible flow
ACM SIGGRAPH Asia 2008 papers
Implicit Surface Reconstruction from Scattered Point Data with Noise
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Toward an efficient triangle-based spherical harmonics representation of 3D objects
Computer Aided Geometric Design
NBS: A new representation for point surfaces based on genetic clustering algorithm
Computers and Graphics
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
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
Spectral moving removal of non-isolated surface outlier clusters
Computer-Aided Design
Duplex fitting of zero-level and offset surfaces
Computer-Aided Design
Automatic and topology-preserving gradient mesh generation for image vectorization
ACM SIGGRAPH 2009 papers
Technical Section: Variational implicit surface meshing
Computers and Graphics
Fast low-memory streaming MLS reconstruction of point-sampled surfaces
Proceedings of Graphics Interface 2009
Proceedings of the 31st DAGM Symposium on Pattern Recognition
The Stixel World - A Compact Medium Level Representation of the 3D-World
Proceedings of the 31st DAGM Symposium on Pattern Recognition
Consolidation of unorganized point clouds for surface reconstruction
ACM SIGGRAPH Asia 2009 papers
Surface reconstruction from point clouds by transforming the medial scaffold
Computer Vision and Image Understanding
Robust mesh reconstruction from unoriented noisy points
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Robust principal curvatures using feature adapted integral invariants
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Topology- and error-driven extension of scalar functions from surfaces to volumes
ACM Transactions on Graphics (TOG)
A quasi-Monte Carlo method for computing areas of point-sampled surfaces
Computer-Aided Design
Field modeling with sampled distances
Computer-Aided Design
Point cloud surfaces using geometric proximity graphs
Computers and Graphics
Dynamic surfel set refinement for high-quality rendering
Computers and Graphics
Adaptive polygonization of implicit surfaces
Computers and Graphics
Efficient surface reconstruction from noisy data using regularized membrane potentials
IEEE Transactions on Image Processing
Parallel Poisson Surface Reconstruction
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
Surface Reconstruction of Engine Intake Ports with Mixed Constraints
ICIRA '09 Proceedings of the 2nd International Conference on Intelligent Robotics and Applications
Out-of-core MLS reconstruction
CGIM '07 Proceedings of the Ninth IASTED International Conference on Computer Graphics and Imaging
LS-RBF network based 3D surface reconstruction method
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Streaming surface reconstruction using wavelets
SGP '08 Proceedings of the Symposium on Geometry Processing
Reconstructing animated meshes from time-varying point clouds
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
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
Scheduling dynamic OpenMP applications over multicore architectures
IWOMP'08 Proceedings of the 4th international conference on OpenMP in a new era of parallelism
Narrow-band based radial basis functions implicit surface reconstruction
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Technical Section: Orienting unorganized points for surface reconstruction
Computers and Graphics
The HybridTree: a hybrid constructive shape representation for free-form modeling
Heterogeneous objects modelling and applications
Optimization of continuous heterogeneous models
Heterogeneous objects modelling and applications
Automation of the volumetric models construction
Heterogeneous objects modelling and applications
Adaptive surface reconstruction based on implicit PHT-splines
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Hexahedral shell mesh construction via volumetric polycube map
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
An adaptive moving least squares method for non-uniform points set fitting
ACACOS'10 Proceedings of the 9th WSEAS international conference on Applied computer and applied computational science
Adaptive moving least squares for scattering points fitting
WSEAS Transactions on Computers
The theory and application of an adaptive moving least squares for non-uniform samples
WSEAS Transactions on Computers
Cone carving for surface reconstruction
ACM SIGGRAPH Asia 2010 papers
Analysis, reconstruction and manipulation using arterial snakes
ACM SIGGRAPH Asia 2010 papers
Scattered data interpolation and approximation for computer graphics
ACM SIGGRAPH ASIA 2010 Courses
Receiver-based loss tolerance method for 3D progressive streaming
Multimedia Tools and Applications
A meshless method for variational nonrigid 2-D shape registration
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part II
Defining, contouring, and visualizing scalar functions on point-sampled surfaces
Computer-Aided Design
Nonparametric Regression between General Riemannian Manifolds
SIAM Journal on Imaging Sciences
SMI 2011: Full Paper: Localized Cocone surface reconstruction
Computers and Graphics
Improving 3D reconstruction for digital art preservation
ICIAP'11 Proceedings of the 16th international conference on Image analysis and processing: Part I
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
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
Practical boolean operations on point-sampled models
ICCSA'06 Proceedings of the 6th international conference on Computational Science and Its Applications - Volume Part I
Bayesian mesh reconstruction from noisy point data
ICAT'06 Proceedings of the 16th international conference on Advances in Artificial Reality and Tele-Existence
Implicit surface boolean operations based cut-and-paste algorithm for mesh models
ICAT'06 Proceedings of the 16th international conference on Advances in Artificial Reality and Tele-Existence
Kd-tree based OLS in implicit surface reconstruction with radial basis function
ICAT'06 Proceedings of the 16th international conference on Advances in Artificial Reality and Tele-Existence
Ensembles for normal and surface reconstructions
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Adaptive fourier-based surface reconstruction
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Hierarchically partitioned implicit surfaces for interpolating large point set models
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
Surface reconstruction with an interactive modification of point normals
CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
Object-space multiphase implicit functions
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
SMI 2012: Full Local approximation of scalar functions on 3D shapes and volumetric data
Computers and Graphics
Quasi-interpolation for surface reconstruction from scattered data with radial basis function
Computer Aided Geometric Design
Constructing hexahedral shell meshes via volumetric polycube maps
Computer-Aided Design
Computer Graphics Forum
Variational mesh segmentation via quadric surface fitting
Computer-Aided Design
Composition principles for quality depiction and aesthetics
Computational Aesthetics'07 Proceedings of the Third Eurographics conference on Computational Aesthetics in Graphics, Visualization and Imaging
Style nodes and repolygonization for hierarchical tree-based implicit surface modelling
Computational Aesthetics'09 Proceedings of the Fifth Eurographics conference on Computational Aesthetics in Graphics, Visualization and Imaging
Model-free surface visualization of vascular trees
EUROVIS'07 Proceedings of the 9th Joint Eurographics / IEEE VGTC conference on Visualization
Meshless isosurface generation from multiblock data
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Efficient surface reconstruction from noisy data using regularized membrane potentials
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
Post-processing of scanned 3D surface data
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
Interactive ray tracing of point-based models
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
A dynamic surface reconstruction framework for large unstructured point sets
SPBG'06 Proceedings of the 3rd Eurographics / IEEE VGTC conference on Point-Based Graphics
Efficient and prioritized point subsampling for CSRBF 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
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
3D reconstruction of cultural heritages: Challenges and advances on precise mesh integration
Computer Vision and Image Understanding
Construction and characterization of non-uniform local interpolating polynomial splines
Journal of Computational and Applied Mathematics
Efficient evaluation of continuous signed distance to a polygonal mesh
Proceedings of the 28th Spring Conference on Computer Graphics
A benchmark for surface reconstruction
ACM Transactions on Graphics (TOG)
Parametric structural optimization with dynamic knot RBFs and partition of unity method
Structural and Multidisciplinary Optimization
VDB: High-resolution sparse volumes with dynamic topology
ACM Transactions on Graphics (TOG)
Multi-level hermite variational interpolation and quasi-interpolation
The Visual Computer: International Journal of Computer Graphics
Generalized Hermitian Radial Basis Functions Implicits from polygonal mesh constraints
The Visual Computer: International Journal of Computer Graphics
IGA-based point cloud fitting using B-spline surfaces for reverse engineering
Information Sciences: an International Journal
Context-based coherent surface completion
ACM Transactions on Graphics (TOG)
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
Splat-based surface reconstruction from defect-laden point sets
Graphical Models
Real-time isosurface rendering of smooth fields
Journal of Visualization
Data fitting independent of grid structure using a volumic version of MPU
Journal of Visualization
Feature-Preserving Surface Reconstruction and Simplification from Defect-Laden Point Sets
Journal of Mathematical Imaging and Vision
Meshfree natural vibration analysis of 2D structures
Computational Mechanics
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We present a new shape representation, the multi-level partition of unity implicit surface, that allows us to construct surface models from very large sets of points. There are three key ingredients to our approach: 1) piecewise quadratic functions that capture the local shape of the surface, 2) weighting functions (the partitions of unity) that blend together these local shape functions, and 3) an octree subdivision method that adapts to variations in the complexity of the local shape.Our approach gives us considerable flexibility in the choice of local shape functions, and in particular we can accurately represent sharp features such as edges and corners by selecting appropriate shape functions. An error-controlled subdivision leads to an adaptive approximation whose time and memory consumption depends on the required accuracy. Due to the separation of local approximation and local blending, the representation is not global and can be created and evaluated rapidly. Because our surfaces are described using implicit functions, operations such as shape blending, offsets, deformations and CSG are simple to perform.