SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Anisotropic mesh transformations and optimal error control
Proceedings of the third ARO workshop on Adaptive methods for partial differential equations
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Illustrating transparent surfaces with curvature-directed strokes
Proceedings of the 7th conference on Visualization '96
Mesh reduction with error control
Proceedings of the 7th conference on Visualization '96
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Surface Approximation and Geometric Partitions
SIAM Journal on Computing
Simplifying surfaces with color and texture using quadric error metrics
Proceedings of the conference on Visualization '98
Fast and memory efficient polygonal simplification
Proceedings of the conference on Visualization '98
Optimal triangulation and quadric-based surface simplification
Computational Geometry: Theory and Applications - Special issue on multi-resolution modelling and 3D geometry compression
Optimal bit allocation in compressed 3D models
Computational Geometry: Theory and Applications - Special issue on multi-resolution modelling and 3D geometry compression
Line direction matters: an argument for the use of principal directions in 3D line drawings
NPAR '00 Proceedings of the 1st international symposium on Non-photorealistic animation and rendering
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
ACM Transactions on Graphics (TOG)
Hierarchical face clustering on polygonal surfaces
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Texture mapping progressive meshes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A local search approximation algorithm for k-means clustering
Proceedings of the eighteenth annual symposium on Computational geometry
Least squares conformal maps for automatic texture atlas generation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Are Bilinear Quadrilaterals Better Than Linear Triangles?
SIAM Journal on Scientific Computing
Normal bounds for subdivision-surface interference detection
Proceedings of the conference on Visualization '01
Efficient simplification of point-sampled surfaces
Proceedings of the conference on Visualization '02
Superfaces: Polygonal Mesh Simplification with Bounded Error
IEEE Computer Graphics and Applications
Mesh optimization using global error with application to geometry simplification
Graphical Models - Special issue: Processing on large polygonal meshes
I3D '03 Proceedings of the 2003 symposium on Interactive 3D graphics
Surface Reconstruction Using Adaptive Clustering Methods
Geometric Modelling
Line-Art Rendering of 3D-Models
PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Billboard clouds for extreme model simplification
ACM SIGGRAPH 2003 Papers
Hierarchical mesh decomposition using fuzzy clustering and cuts
ACM SIGGRAPH 2003 Papers
Provably good surface sampling and approximation
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
High-pass quantization for mesh encoding
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Removing excess topology from isosurfaces
ACM Transactions on Graphics (TOG)
Two algorithms for fast reclustering of dynamic meshed surfaces
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Surface compression with geometric bandelets
ACM SIGGRAPH 2005 Papers
Variational tetrahedral meshing
ACM SIGGRAPH 2005 Papers
Mason: morphological simplification
Graphical Models
Extraction and remeshing of ellipsoidal representations from mesh data
GI '05 Proceedings of Graphics Interface 2005
Harmonic functions for quadrilateral remeshing of arbitrary manifolds
Computer Aided Geometric Design - Special issue: Geometry processing
Truly selective polygonal mesh hierarchies with error control
Computer Aided Geometric Design - Special issue: Geometry processing
Stylized and Abstract Painterly Rendering System Using a Multiscale Segmented Sphere Hierarchy
IEEE Transactions on Visualization and Computer Graphics
Anisotropic point set surfaces
AFRIGRAPH '06 Proceedings of the 4th international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
A Bayesian method for probable surface reconstruction and decimation
ACM Transactions on Graphics (TOG)
Feature sensitive mesh segmentation
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Building triangulations using ε-nets
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
Geometric modeling with conical meshes and developable surfaces
ACM SIGGRAPH 2006 Papers
Real-time soft shadows in dynamic scenes using spherical harmonic exponentiation
ACM SIGGRAPH 2006 Papers
Editing arbitrarily deforming surface animations
ACM SIGGRAPH 2006 Papers
GI '06 Proceedings of Graphics Interface 2006
Variational, meaningful shape decomposition
ACM SIGGRAPH 2006 Sketches
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
SIGGRAPH '05 ACM SIGGRAPH 2005 Sketches
Variational tetrahedral meshing
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Manifold-based approach to semi-regular remeshing
Graphical Models
Approximate convex decomposition of polyhedra
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Ellipsoid-tree construction for solid objects
Proceedings of the 2007 ACM symposium on Solid and physical modeling
A two-level topological decomposition for non-manifold simplicial shapes
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Constrained planar remeshing for architecture
GI '07 Proceedings of Graphics Interface 2007
3D collage: expressive non-realistic modeling
Proceedings of the 5th international symposium on Non-photorealistic animation and rendering
TRACKS: toward directable thin shells
ACM SIGGRAPH 2007 papers
Geometry of multi-layer freeform structures for architecture
ACM SIGGRAPH 2007 papers
Real-time enveloping with rotational regression
ACM SIGGRAPH 2007 papers
Non-iterative approach for global mesh optimization
Computer-Aided Design
Feature-based subdivision surface fitting
ACM SIGGRAPH 2007 posters
Extraction and simplification of iso-surfaces in tandem
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
Rectangular multi-chart geometry images
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Example-based skeleton extraction
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Generalized surface flows for mesh processing
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Symmetry-enhanced remeshing of surfaces
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
A mesh optimization algorithm based on neural networks
Information Sciences: an International Journal
Mesh parameterization methods and their applications
Foundations and Trends® in Computer Graphics and Vision
Computing Length-Preserved Free Boundary for Quasi-Developable Mesh Segmentation
IEEE Transactions on Visualization and Computer Graphics
Appearance preserving octree-textures
Proceedings of the 5th international conference on Computer graphics and interactive techniques in Australia and Southeast Asia
Real-time smoke rendering using compensated ray marching
ACM SIGGRAPH 2008 papers
Upright orientation of man-made objects
ACM SIGGRAPH 2008 papers
Technical Section: A simple and flexible framework to adapt dynamic meshes
Computers and Graphics
An incremental approach to feature aligned quad dominant remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Controlled field generation for quad-remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Progressive transmission of appearance preserving octree-textures
Web3D '08 Proceedings of the 13th international symposium on 3D web technology
A Java3D framework for inspecting and segmenting 3D models
Web3D '08 Proceedings of the 13th international symposium on 3D web technology
Massive model visualization techniques: course notes
ACM SIGGRAPH 2008 classes
Quadrilateral mesh simplification
ACM SIGGRAPH Asia 2008 papers
Approximate convex decomposition of polyhedra and its applications
Computer Aided Geometric Design
Evaluating approximations generated by the GNG3D method for mesh simplification
AIKED'08 Proceedings of the 7th WSEAS International Conference on Artificial intelligence, knowledge engineering and data bases
Semantic fitting and reconstruction
Journal on Computing and Cultural Heritage (JOCCH)
A local roughness measure for 3D meshes and its application to visual masking
ACM Transactions on Applied Perception (TAP)
Error measurements and parameters choice in the GNG3D model for mesh simplification
WSEAS Transactions on Information Science and Applications
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
Generating segmented meshes from textured color images
Journal of Visual Communication and Image Representation
Example-based hair geometry synthesis
ACM SIGGRAPH 2009 papers
The recovery of design intent in reverse engineering problems
Computers and Industrial Engineering
Technical Section: Mesh simplification by stochastic sampling and topological clustering
Computers and Graphics
3D Mesh decomposition using Reeb graphs
Image and Vision Computing
On centroidal voronoi tessellation—energy smoothness and fast computation
ACM Transactions on Graphics (TOG)
Characterization of 3D shape parts for semantic annotation
Computer-Aided Design
Semantic-Based Segmentation and Annotation of 3D Models
ICIAP '09 Proceedings of the 15th International Conference on Image Analysis and Processing
Abstraction of man-made shapes
ACM SIGGRAPH Asia 2009 papers
Robust mesh reconstruction from unoriented noisy points
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Mesh clustering by approximating centroidal Voronoi tessellation
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Harmonic functions for quadrilateral remeshing of arbitrary manifolds
Computer Aided Geometric Design - Special issue: Geometry processing
Truly selective polygonal mesh hierarchies with error control
Computer Aided Geometric Design - Special issue: Geometry processing
Feature aligned quad dominant remeshing using iterative local updates
Computer-Aided Design
ACM Transactions on Graphics (TOG)
Multi-objective shape segmentation and labeling
SGP '09 Proceedings of the Symposium on Geometry Processing
Localized quadrilateral coarsening
SGP '09 Proceedings of the Symposium on Geometry Processing
Patch layout from feature graphs
Computer-Aided Design
Discrete surfaces in isotropic geometry
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
Paneling architectural freeform surfaces
ACM SIGGRAPH 2010 papers
Illustrating how mechanical assemblies work
ACM SIGGRAPH 2010 papers
ACM SIGGRAPH 2010 papers
Lp Centroidal Voronoi Tessellation and its applications
ACM SIGGRAPH 2010 papers
Semantic annotation of 3D surface meshes based on feature characterization
SAMT'07 Proceedings of the semantic and digital media technologies 2nd international conference on Semantic Multimedia
A semantic web environment for digital shapes understanding
SAMT'07 Proceedings of the semantic and digital media technologies 2nd international conference on Semantic Multimedia
Meaningful mesh segmentation guided by the 3D short-cut rule
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Slit map: conformal parameterization for multiply connected surfaces
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Technical Section: Shape approximation by differential properties of scalar functions
Computers and Graphics
Hyperbolic centroidal Voronoi tessellation
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Volume and complexity bounded simplification of solid model represented by binary space partition
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Optimal occlusion of teeth using planar structure information
Machine Vision and Applications - Integrated Imaging and Vision Techniques for Industrial Inspection
IEEE Transactions on Image Processing
Feature-preserving 3D thumbnail creation via mesh decomposition and approximation
PCM'10 Proceedings of the 11th Pacific Rim conference on Advances in multimedia information processing: Part I
Technical Section: Exoskeleton: Curve network abstraction for 3D shapes
Computers and Graphics
Fast and reliable decimation of polygonal models based on volume and normal field
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part I
Feature-preserving 3D thumbnail creation with voxel-based two-phase decomposition
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part I
Feature preserving mesh simplification using feature sensitive metric
Journal of Computer Science and Technology
SMI 2011: Full Paper: Template-based quadrilateral meshing
Computers and Graphics
Cover geometry design using multiple convex hulls
Computer-Aided Design
Slices: a shape-proxy based on planar sections
Proceedings of the 2011 SIGGRAPH Asia Conference
A robust approach to multi-feature based mesh segmentation using adaptive density estimation
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
Computer Aided Geometric Design
Centroidal Voronoi tessellation in universal covering space of manifold surfaces
Computer Aided Geometric Design
Obtuse triangle suppression in anisotropic meshes
Computer Aided Geometric Design
Voxel-based shape decomposition for feature-preserving 3D thumbnail creation
Journal of Visual Communication and Image Representation
Feature sensitive out-of-core chartification of large polygonal meshes
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Quadric surface extraction by variational shape approximation
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
K-clustered tensor approximation: A sparse multilinear model for real-time rendering
ACM Transactions on Graphics (TOG)
Variational mesh decomposition
ACM Transactions on Graphics (TOG)
Beady: interactive beadwork design and construction
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Energy-based self-collision culling for arbitrary mesh deformations
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Image-based rendering for scenes with reflections
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Dual loops meshing: quality quad layouts on manifolds
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
SMI 2012: Full Progressive compression of manifold polygon meshes
Computers and Graphics
Recovering geometric detail by octree normal maps
Transactions on Edutainment VII
Motion-based mesh segmentation using augmented silhouettes
Graphical Models
Vertex location optimisation for improved remeshing
Graphical Models
crdbrd: Shape Fabrication by Sliding Planar Slices
Computer Graphics Forum
Centroidal Voronoi Tessellation of Line Segments and Graphs
Computer Graphics Forum
Variational mesh segmentation via quadric surface fitting
Computer-Aided Design
Markov random fields for improving 3D mesh analysis and segmentation
EG 3DOR'08 Proceedings of the 1st Eurographics conference on 3D Object Retrieval
Compressed random-access trees for spatially coherent data
EGSR'07 Proceedings of the 18th Eurographics conference on Rendering Techniques
Ardeco: automatic region detection and conversion
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
Vector field analysis and visualization through variational clustering
EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC conference on Visualization
EG PGV'09 Proceedings of the 9th Eurographics conference on Parallel Graphics and Visualization
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Generation of bi-monotone patches from quadrilateral mesh for reverse engineering
Computer-Aided Design
Detection, classification and estimation of individual shapes in 2D and 3D point clouds
Computational Statistics & Data Analysis
Analytic Curve Skeletons for 3D Surface Modeling and Processing
Computer Graphics Forum
Multiple view object cosegmentation using appearance and stereo cues
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part V
O-snap: Optimization-based snapping for modeling architecture
ACM Transactions on Graphics (TOG)
Laplacian-Based feature preserving mesh simplification
PCM'12 Proceedings of the 13th Pacific-Rim conference on Advances in Multimedia Information Processing
Fully Automatic Registration of Image Sets on Approximate Geometry
International Journal of Computer Vision
Surface perception of planar abstractions
ACM Transactions on Applied Perception (TAP) - Special issue SAP 2013
ACM SIGGRAPH 2013 Posters
Sphere-Meshes: shape approximation using spherical quadric error metrics
ACM Transactions on Graphics (TOG)
Urban pattern: layout design by hierarchical domain splitting
ACM Transactions on Graphics (TOG)
ACM Transactions on Graphics (TOG)
Feature-aware partitions from the motorcycle graph
Computer-Aided Design
Approximating functions on a mesh with restricted Voronoï diagrams
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
Factorized point based global illumination
EGSR '13 Proceedings of the Eurographics Symposium on Rendering
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A method for concise, faithful approximation of complex 3D datasets is key to reducing the computational cost of graphics applications. Despite numerous applications ranging from geometry compression to reverse engineering, efficiently capturing the geometry of a surface remains a tedious task. In this paper, we present both theoretical and practical contributions that result in a novel and versatile framework for geometric approximation of surfaces. We depart from the usual strategy by casting shape approximation as a variational geometric partitioning problem. Using the concept of geometric proxies, we drive the distortion error down through repeated clustering of faces into best-fitting regions. Our approach is entirely discrete and error-driven, and does not require parameterization or local estimations of differential quantities. We also introduce a new metric based on normal deviation, and demonstrate its superior behavior at capturing anisotropy.