SIGGRAPH '93 Proceedings of the 20th 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
Modeling surfaces of arbitrary topology using manifolds
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
Interpolating Subdivision for meshes with arbitrary topology
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
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
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
Texture mapping progressive meshes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Hybrid meshes: multiresolution using regular and irregular refinement
Proceedings of the eighteenth annual symposium on Computational geometry
Cut-and-paste editing of multiresolution surfaces
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
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
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
Computer Aided Geometric Design
Spherical parametrization and remeshing
ACM SIGGRAPH 2003 Papers
Fundamentals of spherical parameterization for 3D meshes
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2004 Papers
Cross-parameterization and compatible remeshing of 3D models
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
ACM Transactions on Graphics (TOG)
Feature-based surface parameterization and texture mapping
ACM Transactions on Graphics (TOG)
Iso-charts: stretch-driven mesh parameterization using spectral analysis
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Signal-specialized parameterization for piecewise linear reconstruction
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
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
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Geodesic Remeshing Using Front Propagation
International Journal of Computer Vision
Discrete conformal mappings via circle patterns
ACM Transactions on Graphics (TOG)
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
A direct texture placement and editing interface
UIST '06 Proceedings of the 19th annual ACM symposium on User interface software and technology
Periodic global parameterization
ACM Transactions on Graphics (TOG)
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
Out-of-Core Remeshing of Large Polygonal Meshes
IEEE Transactions on Visualization and Computer Graphics
Surface modeling and parameterization with manifolds
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Manifold-based approach to semi-regular remeshing
Graphical Models
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
A high-order 3D boundary integral equation solver for elliptic PDEs in smooth domains
Journal of Computational Physics
Semiregular patterns on surfaces
ACM SIGGRAPH 2007 sketches
Template-based mesh completion
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
A geometric construction of coordinates for convex polyhedra using polar duals
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
An image processing approach to surface matching
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Rectangular multi-chart geometry images
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Automatic and interactive mesh to T-spline conversion
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Designing quadrangulations with discrete harmonic forms
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
A unified, integral construction for coordinates over closed curves
Computer Aided Geometric Design
Generalized Streak Lines: Analysis and Visualization of Boundary Induced Vortices
IEEE Transactions on Visualization and Computer Graphics
Indirection mapping for quasi-conformal relief texturing
Proceedings of the 2008 symposium on Interactive 3D graphics and games
User-controllable polycube map for manifold spline construction
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Computer-Aided Design
Spectral quadrangulation with orientation and alignment control
ACM SIGGRAPH Asia 2008 papers
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
A genus oblivious approach to cross parameterization
Computer Aided Geometric Design
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
Technical Section: Geometry-aware domain decomposition for T-spline-based manifold modeling
Computers and Graphics
Semiregular patterns on surfaces
Proceedings of the 7th International Symposium on Non-Photorealistic Animation and Rendering
Eyelid image synthesis using motion dependent texture mapping
VIIP '07 The Seventh IASTED International Conference on Visualization, Imaging and Image Processing
ACM SIGGRAPH ASIA 2009 Courses
Semi-regular quadrilateral-only remeshing from simplified base domains
SGP '09 Proceedings of the Symposium on Geometry Processing
Quadrangle surface tiling through contouring
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
ACM SIGGRAPH 2010 papers
ACM SIGGRAPH 2010 Courses
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Editable polycube map for GPU-based subdivision surfaces
I3D '11 Symposium on Interactive 3D Graphics and Games
SMI 2011: Full Paper: Displaced subdivision surfaces of animated meshes
Computers and Graphics
SMI 2011: Full Paper: Template-based quadrilateral meshing
Computers and Graphics
ITEM: inter-texture error measurement for 3D meshes
Proceedings of the 16th International Conference on 3D Web Technology
Simple quad domains for field aligned mesh parametrization
Proceedings of the 2011 SIGGRAPH Asia Conference
Global parametrization of range image sets
Proceedings of the 2011 SIGGRAPH Asia Conference
Computer Aided Geometric Design
Elements of geometry processing
SIGGRAPH Asia 2011 Courses
Quadrangular parameterization for reverse engineering
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
A new smoothing algorithm for quadrilateral and hexahedral meshes
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
Multiresolution remeshing using weighted centroidal voronoi diagram
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
Texture synthesis using incremental patches
Edutainment'06 Proceedings of the First international conference on Technologies for E-Learning and Digital Entertainment
Global parametrization by incremental flattening
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Constructing common base domain by cues from Voronoi diagram
Graphical Models
Proceedings of the 17th International Conference on 3D Web Technology
Controlled-distortion constrained global parametrization
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Integer-grid maps for reliable quad meshing
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Footwear bio-modelling: An industrial approach
Computer-Aided Design
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Good parameterizations are of central importance in many digital geometry processing tasks. Typically the behavior of such processing algorithms is related to the smoothness of the parameterization and how much distortion it contains. Since a parameterization maps a bounded region of the plane to the surface, a parameterization for a surface which is not homeomorphic to a disc must be made up of multiple pieces. We present a novel parameterization algorithm for arbitrary topology surface meshes which computes a globally smooth parameterization with low distortion. We optimize the patch layout subject to criteria such as shape quality and metric distortion, which are used to steer a mesh simplification approach for base complex construction. Global smoothness is achieved through simultaneous relaxation over all patches, with suitable transition functions between patches incorporated into the relaxation procedure. We demonstrate the quality of our parameterizations through numerical evaluation of distortion measures and the excellent rate distortion performance of semi-regular remeshes produced with these parameterizations. The numerical algorithms required to compute the parameterizations are robust and run on the order of minutes even for large meshes.