Environment mapping and other applications of world projections
IEEE Computer Graphics and Applications
Generating random points in triangles
Graphics gems
Shape transformation for polyhedral objects
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
Spherical wavelets: efficiently representing functions on the sphere
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Stratified sampling of spherical triangles
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Appearance-preserving simplification
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A general method for preserving attribute values on simplified meshes
Proceedings of the conference on Visualization '98
Displaced subdivision surfaces
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Progressive geometry compression
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Semi-regular mesh extraction from volumes
Proceedings of the conference on Visualization '00
Consistent mesh parameterizations
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Texture mapping progressive meshes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Spherical averages and applications to spherical splines and interpolation
ACM Transactions on Graphics (TOG)
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Least squares conformal maps for automatic texture atlas generation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Signal-specialized parametrization
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
ACM Transactions on Graphics (TOG)
Seamster: inconspicuous low-distortion texture seam layout
Proceedings of the conference on Visualization '02
Bounded-distortion piecewise mesh parameterization
Proceedings of the conference on Visualization '02
Conformal Surface Parameterization for Texture Mapping
IEEE Transactions on Visualization and Computer Graphics
Fundamentals of spherical parameterization for 3D meshes
ACM SIGGRAPH 2003 Papers
Simple Manifolds for Surface Modeling and Parameterization (figures 3 and 6)
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
Globally smooth parameterizations with low distortion
ACM SIGGRAPH 2003 Papers
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
ACM SIGGRAPH 2004 Papers
Cross-parameterization and compatible remeshing of 3D models
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Parameterization of triangle meshes over quadrilateral domains
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Geometric texture synthesis and transfer via geometry images
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Statistical geometry representation for efficient transmission and rendering
ACM Transactions on Graphics (TOG)
Face transfer with multilinear models
ACM SIGGRAPH 2005 Papers
An approximate image-space approach for interactive refraction
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Video-based character animation
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
GI-COLLIDE: collision detection with geometry images
Proceedings of the 21st spring conference on Computer graphics
IEEE Transactions on Visualization and Computer Graphics
Spherical manifolds for adaptive resolution surface modeling
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Hierarchical Spherical Distance Fields for Collision Detection
IEEE Computer Graphics and Applications
Computing surface hyperbolic structure and real projective structure
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Duplicate-skins for compatible mesh modelling
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
Face transfer with multilinear models
ACM SIGGRAPH 2006 Courses
Out-of-Core Remeshing of Large Polygonal Meshes
IEEE Transactions on Visualization and Computer Graphics
Ambient Occlusion and Edge Cueing for Enhancing Real Time Molecular Visualization
IEEE Transactions on Visualization and Computer Graphics
Intraclass Retrieval of Nonrigid 3D Objects: Application to Face Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Surface modeling and parameterization with manifolds
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Manifold-based approach to semi-regular remeshing
Graphical Models
Parameterizations of digital surfaces homeomorphic to a sphere using discrete harmonic functions
Pattern Recognition Letters
Parameterizations of digital surfaces homeomorphic to a sphere using discrete harmonic functions
Pattern Recognition Letters
4D compression and relighting with high-resolution light transport matrices
Proceedings of the 2007 symposium on Interactive 3D graphics and games
Multi-grained level of detail using a hierarchical seamless texture atlas
Proceedings of the 2007 symposium on Interactive 3D graphics and games
Technical Section: Pseudo surface-texture synthesis
Computers and Graphics
Approximate convex decomposition of polyhedra
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Surface parameterization via aligning optimal local flattening
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Surface Capture for Performance-Based Animation
IEEE Computer Graphics and Applications
Isocube: Exploiting the Cubemap Hardware
IEEE Transactions on Visualization and Computer Graphics
Conformal Geometry and Its Applications on 3D Shape Matching, Recognition, and Stitching
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computing general geometric structures on surfaces using Ricci flow
Computer-Aided Design
An image processing approach to surface matching
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
Mesh parameterization methods and their applications
Foundations and Trends® in Computer Graphics and Vision
Unified 3D face and ear recognition using wavelets on geometry images
Pattern Recognition
Quasi-isometric parameterization for texture mapping
Pattern Recognition
Quasi-isometric parameterization for texture mapping
Pattern Recognition
An efficient approximation of arbitrary curves and surfaces using intersecting polylines and meshes
Advances in Engineering Software
User-controllable polycube map for manifold spline construction
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Approximate convex decomposition of polyhedra and its applications
Computer Aided Geometric Design
Optimizing Surface Triangulation Via Near Isometry with Reference Meshes
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
Polynomial splines over hierarchical T-meshes
Graphical Models
A genus oblivious approach to cross parameterization
Computer Aided Geometric Design
Models of Normal Variation and Local Contrasts in Hippocampal Anatomy
MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
3D Triangular Mesh Parameterization with Semantic Features Based on Competitive Learning Methods
IEICE - Transactions on Information and Systems
Möbius voting for surface correspondence
ACM SIGGRAPH 2009 papers
Technical Section: Fourier method for large-scale surface modeling and registration
Computers and Graphics
Preserving sharp edges in geometry images
Proceedings of Graphics Interface 2009
The rhombic dodecahedron map: an efficient scheme for encoding panoramic video
IEEE Transactions on Multimedia
Wavelet-Based Representation of Biological Shapes
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
Fast Spherical Mapping for Genus-0 Meshes
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part II
Spherical representations of shape using parametrizations with minimal distortion
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
Distributed gradient-domain processing of planar and spherical images
ACM Transactions on Graphics (TOG)
Technologies for 3D mesh compression: A survey
Journal of Visual Communication and Image Representation
Non-parametric surface-based regularisation for building statistical shape models
IPMI'07 Proceedings of the 20th international conference on Information processing in medical imaging
Surface animation based on 2D editing
Edutainment'07 Proceedings of the 2nd international conference on Technologies for e-learning and digital entertainment
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Anisotropic blue noise sampling
ACM SIGGRAPH Asia 2010 papers
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part I
Efficient deformable geometry image-maps
Proceedings of the 17th ACM Symposium on Virtual Reality Software and Technology
Model transduction for triangle meshes
Journal of Computer Science and Technology
A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery
SIAM Journal on Scientific Computing
MCGIM-based model streaming for realtime progressive rendering
Journal of Computer Science and Technology - Special issue on natural language processing
SMI 2011: Full Paper: Parallel computation of spherical parameterizations for mesh analysis
Computers and Graphics
Direct spherical parameterization of 3D triangular meshes using local flattening operations
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part I
3D triangular mesh parametrization using locally linear embedding
CAIP'05 Proceedings of the 11th international conference on Computer Analysis of Images and Patterns
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Electric field force features-harmonic representation for 3d shape similarity
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
A new constrained texture mapping method
ICEC'05 Proceedings of the 4th international conference on Entertainment Computing
Improved shape modeling of tubular objects using cylindrical parameterization
Miar'06 Proceedings of the Third international conference on Medical Imaging and Augmented Reality
A spherical point location algorithm based on barycentric coordinates
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
Consistent spherical parameterization
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part II
Remeshing triangle meshes with boundaries
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part II
Locally linear isometric parameterization
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Texture synthesis using incremental patches
Edutainment'06 Proceedings of the First international conference on Technologies for E-Learning and Digital Entertainment
Constructing common base domain by cues from Voronoi diagram
Graphical Models
Vertex location optimisation for improved remeshing
Graphical Models
Proceedings of the 17th International Conference on 3D Web Technology
Proceedings of the 17th International Conference on 3D Web Technology
On floating-point normal vectors
EGSR'10 Proceedings of the 21st Eurographics conference on Rendering
Interactive editing of lighting and materials using a bivariate BRDF representation
EGSR'10 Proceedings of the 21st Eurographics conference on Rendering
Efficient wavelet rotation for environment map rendering
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
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
A complete framework for 3D mesh morphing
Proceedings of the 11th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and its Applications in Industry
Efficient texture mapping by homogeneous patch discovery
Proceedings of the Eighth Indian Conference on Computer Vision, Graphics and Image Processing
Efficient spherical parametrization using progressive optimization
CVM'12 Proceedings of the First international conference on Computational Visual Media
Proceedings of the 28th Spring Conference on Computer Graphics
Harmonic parameterization by electrostatics
ACM Transactions on Graphics (TOG)
PolyCut: monotone graph-cuts for PolyCube base-complex construction
ACM Transactions on Graphics (TOG)
FIMH'13 Proceedings of the 7th international conference on Functional Imaging and Modeling of the Heart
Technical Section: Automatic pose-independent 3D garment fitting
Computers and Graphics
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
EGSR '13 Proceedings of the Eurographics Symposium on Rendering
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The traditional approach for parametrizing a surface involves cutting it into charts and mapping these piecewise onto a planar domain. We introduce a robust technique for directly parametrizing a genus-zero surface onto a spherical domain. A key ingredient for making such a parametrization practical is the minimization of a stretch-based measure, to reduce scale-distortion and thereby prevent undersampling. Our second contribution is a scheme for sampling the spherical domain using uniformly subdivided polyhedral domains, namely the tetrahedron, octahedron, and cube. We show that these particular semi-regular samplings can be conveniently represented as completely regular 2D grids, i.e. geometry images. Moreover, these images have simple boundary extension rules that aid many processing operations. Applications include geometry remeshing, level-of-detail, morphing, compression, and smooth surface subdivision.