A Numerical Solution to the Generalized Mapmaker's Problem: Flattening Nonconvex Polyhedral Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Choosing nodes in parametric curve interpolation
Computer-Aided Design
Surfaces over Dirichlet Tessellations
Computer Aided Geometric Design
Piecewise surface flattening for non-distorted texture mapping
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Multiperiodic functions for surface design
Selected papers of the international symposium on Free-form curves and free-form surfaces
Computer graphics (2nd ed. in C): principles and practice
Computer graphics (2nd ed. in C): principles and practice
Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
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
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
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Rotational polygon containment and minimum enclosure
Proceedings of the fourteenth annual symposium on Computational geometry
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Non-distorted texture mapping for sheared triangulated meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A morphable model for the synthesis of 3D faces
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Multiresolution signal processing for meshes
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
A transfinite form of Sibson's interpolant
Discrete Applied Mathematics - Special issue on the 13th European workshop on computational geometry CG '97
Voronoi-based interpolation with higher continuity
Proceedings of the sixteenth annual symposium on Computational geometry
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
Spectral compression of mesh geometry
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Seamless texture mapping of subdivision surfaces by model pelting and texture blending
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Hierarchical face clustering on polygonal surfaces
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Adaptive unwrapping for interactive texture painting
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Real-time fur over arbitrary surfaces
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Meshless parameterization and surface reconstruction
Computer Aided Geometric Design
Computing a canonical polygonal schema of an orientable triangulated surface
SCG '01 Proceedings of the seventeenth annual symposium on Computational geometry
Consistent mesh parameterizations
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Texture synthesis over arbitrary manifold surfaces
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
Constrained texture mapping for polygonal meshes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Simulation of wrinkled surfaces
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
Meshed atlases for real-time procedural solid texturing
ACM Transactions on Graphics (TOG)
The flattening of arbitrary surfaces with approximation by developable stripes
From geometric modeling to shape modeling
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
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Smoothing an overlay grid to minimize linear distortion in texture mapping
ACM Transactions on Graphics (TOG)
Signal-specialized parametrization
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Proceedings of the conference on Visualization '01
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
Texture Mapping Using Surface Flattening via Multidimensional Scaling
IEEE Transactions on Visualization and Computer Graphics
IEEE Computer Graphics and Applications
Generalized barycentric coordinates on irregular polygons
Journal of Graphics Tools
Meshless Parameterization and B-Spline Surface Approximation
Proceedings of the 9th IMA Conference on the Mathematics of Surfaces
Quasi-Conformally Flat Mapping the Human Cerebellum
MICCAI '99 Proceedings of the Second International Conference on Medical Image Computing and Computer-Assisted Intervention
Embedding Planar Graphs at Fixed Vertex Locations
GD '98 Proceedings of the 6th International Symposium on Graph Drawing
Modeling and Rendering for Realistic Facial Animation
Proceedings of the Eurographics Workshop on Rendering Techniques 2000
Texture and Shape Synthesis on Surfaces
Proceedings of the 12th Eurographics Workshop on Rendering Techniques
One-to-one piecewise linear mappings over triangulations
Mathematics of Computation
Computer Aided Geometric Design
Computational Geometry: Theory and Applications
Using Most Isometric Parametrizations for Remeshing Polygonal Surfaces
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
On Graph Partitioning, Spectral Analysis, and Digital Mesh Processing
SMI '03 Proceedings of the Shape Modeling International 2003
An Introduction to the Conjugate Gradient Method Without the Agonizing Pain
An Introduction to the Conjugate Gradient Method Without the Agonizing Pain
Matchmaker: constructing constrained texture maps
ACM SIGGRAPH 2003 Papers
Spherical parametrization and remeshing
ACM SIGGRAPH 2003 Papers
Globally smooth parameterizations with low distortion
ACM SIGGRAPH 2003 Papers
Fundamentals of spherical parameterization for 3D meshes
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2003 Papers
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
The space of human body shapes: reconstruction and parameterization from range scans
ACM SIGGRAPH 2003 Papers
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Global conformal surface parameterization
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Spanning Tree Seams for Reducing Parameterization Distortion of Triangulated Surfaces
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
Hierarchical Least Squares Conformal Map
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Graphical Models - Special issue on SMI 2002
Discrete exterior calculus
A Fast and Simple Stretch-Minimizing Mesh Parameterization
SMI '04 Proceedings of the Shape Modeling International 2004
An anisotropic mesh parameterization scheme
Engineering with Computers
Making papercraft toys from meshes using strip-based approximate unfolding
ACM SIGGRAPH 2004 Papers
A simple manifold-based construction of surfaces of arbitrary smoothness
ACM SIGGRAPH 2004 Papers
Deformation transfer for triangle meshes
ACM SIGGRAPH 2004 Papers
Fair morse functions for extracting the topological structure of a surface mesh
ACM SIGGRAPH 2004 Papers
Interactive modeling of topologically complex geometric detail
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Cross-parameterization and compatible remeshing of 3D models
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Variational shape approximation
ACM SIGGRAPH 2004 Papers
A Formulation of Boundary Mesh Segmentation
3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
Direct Anisotropic Quad-Dominant Remeshing
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Optimal Global Conformal Surface Parameterization
VIS '04 Proceedings of the conference on Visualization '04
Axioms and variational problems in surface parameterization
Computer Aided Geometric Design - Special issue: Geometric modeling and processing 2004
Feature-based surface parameterization and texture mapping
ACM Transactions on Graphics (TOG)
Multilevel Solvers for Unstructured Surface Meshes
SIAM Journal on Scientific Computing
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
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
A quadrilateral rendering primitive
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
ABF++: fast and robust angle based flattening
ACM Transactions on Graphics (TOG)
Greedy optimal homotopy and homology generators
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
SCAPE: shape completion and animation of people
ACM SIGGRAPH 2005 Papers
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Rational Spherical Splines for Genus Zero Shape Modeling
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Practical Spherical Embedding of Manifold Triangle Meshes
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Free-Boundary Linear Parameterization of 3D Meshes in the Presence of Constraints
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Discrete Tensorial Quasi-Harmonic Maps
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Harmonic functions for quadrilateral remeshing of arbitrary manifolds
Computer Aided Geometric Design - Special issue: Geometry processing
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Computing surface hyperbolic structure and real projective structure
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Discrete one-forms on meshes and applications to 3D mesh parameterization
Computer Aided Geometric Design
Curvilinear Spherical Parameterization
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
Laplace-Beltrami Eigenfunctions Towards an Algorithm That "Understands" Geometry
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
Discrete conformal mappings via circle patterns
ACM Transactions on Graphics (TOG)
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
An out-of-core sparse symmetric-indefinite factorization method
ACM Transactions on Mathematical Software (TOMS)
Mean value coordinates for arbitrary planar polygons
ACM Transactions on Graphics (TOG)
Periodic global parameterization
ACM Transactions on Graphics (TOG)
A general geometric construction of coordinates in a convex simplicial polytope
Computer Aided Geometric Design
Surface parameterization via aligning optimal local flattening
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Iterative Methods for Improving Mesh Parameterizations
SMI '07 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2007
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
Template-based mesh completion
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Setting the boundary free: a composite approach to surface parameterization
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
Spherical barycentric coordinates
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
On transfinite barycentric coordinates
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
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
GPU-assisted positive mean value coordinates for mesh deformations
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Linear angle based parameterization
SGP '07 Proceedings of the fifth 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
N-symmetry direction field design
ACM Transactions on Graphics (TOG)
Conformal equivalence of triangle meshes
ACM SIGGRAPH 2008 papers
ACM SIGGRAPH 2008 papers
Optimal Surface Parameterization Using Inverse Curvature Map
IEEE Transactions on Visualization and Computer Graphics
Laplace-Beltrami spectra as 'Shape-DNA' of surfaces and solids
Computer-Aided Design
Spectral conformal parameterization
SGP '08 Proceedings of the Symposium on Geometry Processing
A local/global approach to mesh parameterization
SGP '08 Proceedings of the Symposium on Geometry Processing
Maximum entropy coordinates for arbitrary polytopes
SGP '08 Proceedings of the Symposium on Geometry Processing
COCOON'03 Proceedings of the 9th annual international conference on Computing and combinatorics
Discrete harmonic functions from local coordinates
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
Discrete surface Ricci flow: theory and applications
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Efficient linear system solvers for mesh processing
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Möbius voting for surface correspondence
ACM SIGGRAPH 2009 papers
ACM SIGGRAPH 2009 papers
Parameterizing Singularities of Positive Integral Index
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Pattern computation for compression garment by a physical/geometric approach
Computer-Aided Design
A wave-based anisotropic quadrangulation method
ACM SIGGRAPH 2010 papers
Technical Section: Feature-aligned harmonic volumetric mapping using MFS
Computers and Graphics
Automatic 3D facial model and texture reconstruction from range scans
AMDO'10 Proceedings of the 6th international conference on Articulated motion and deformable objects
Simple quad domains for field aligned mesh parametrization
Proceedings of the 2011 SIGGRAPH Asia Conference
Automatic construction of statistical shape models for vertebrae
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Parameterization of contractible domains using sequences of harmonic maps
Proceedings of the 7th international conference on Curves and Surfaces
SMI 2012: Full As-conformal-as-possible discrete volumetric mapping
Computers and Graphics
Recovering geometric detail by octree normal maps
Transactions on Edutainment VII
Refining shape correspondence for similar objects using strain
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
CrOS: a touch screen interaction technique for cursor manipulation on 2-manifolds
Proceedings of the 18th ACM symposium on Virtual reality software and technology
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
SMI 2013: Efficient computation of constrained parameterizations on parallel platforms
Computers and Graphics
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
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Mesh parameterization is a powerful geometry processing tool with numerous computer graphics applications, from texture mapping to animation transfer. This course outlines its mathematical foundations, describes recent methods for parameterizing meshes over various domains, discusses emerging tools like global parameterization and inter-surface mapping, and demonstrates a variety of parameterization applications.