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
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
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
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
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
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
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)
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
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
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
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
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
A Fast and Simple Stretch-Minimizing Mesh Parameterization
SMI '04 Proceedings of the Shape Modeling International 2004
Making papercraft toys from meshes using strip-based approximate unfolding
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
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)
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
ABF++: fast and robust angle based flattening
ACM Transactions on Graphics (TOG)
SCAPE: shape completion and animation of people
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
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
Discrete conformal mappings via circle patterns
ACM Transactions on Graphics (TOG)
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
Periodic global parameterization
ACM Transactions on Graphics (TOG)
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
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
Linear angle based parameterization
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Automated avatar creation for 3D games
Future Play '07 Proceedings of the 2007 conference on Future Play
ACM SIGGRAPH 2008 papers
Conformal equivalence of triangle meshes
ACM SIGGRAPH 2008 papers
Volumetric parameterization and trivariate b-spline fitting using harmonic functions
Proceedings of the 2008 ACM symposium on Solid and physical modeling
User-controllable polycube map for manifold spline construction
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Manifold splines with a single extraordinary point
Computer-Aided Design
Sparse Key Points Controlled Animation for Individual Face Model
Edutainment '08 Proceedings of the 3rd international conference on Technologies for E-Learning and Digital Entertainment
Geometry-optimized virtual human head and its applications
Computers and Graphics
Computing and Visualizing Constant-Curvature Metrics on Hyperbolic 3-Manifolds with Boundaries
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
Volumetric parameterization and trivariate B-spline fitting using harmonic functions
Computer Aided Geometric Design
Preserving sharp edges in geometry images
Proceedings of Graphics Interface 2009
Efficient substitutes for subdivision surfaces
ACM SIGGRAPH 2009 Courses
Real-time multi-agent path planning on arbitrary surfaces
Proceedings of the 2010 ACM SIGGRAPH symposium on Interactive 3D Graphics and Games
ACM Transactions on Graphics (TOG)
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
Localized quadrilateral coarsening
SGP '09 Proceedings of the Symposium on Geometry Processing
Convex optimization for nonrigid stereo reconstruction
IEEE Transactions on Image Processing
ACM SIGGRAPH 2010 papers
Parameterizing subdivision surfaces
ACM SIGGRAPH 2010 papers
Technical Section: Mesh reconstruction by meshless denoising and parameterization
Computers and Graphics
Technical Section: Feature-aligned harmonic volumetric mapping using MFS
Computers and Graphics
Mesh parameterization based on one-step inverse forming
Computer-Aided Design
Modeling 3D facial expressions using geometry videos
Proceedings of the international conference on Multimedia
Regularization of B-spline objects
Computer Aided Geometric Design
Efficient substitutes for subdivision surfaces in feature-quality games
ACM SIGGRAPH ASIA 2010 Courses
Geodesic Methods in Computer Vision and Graphics
Foundations and Trends® in Computer Graphics and Vision
A framework for 3D analysis of facial morphology in fetal alcohol syndrome
MIAR'10 Proceedings of the 5th international conference on Medical imaging and augmented reality
A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery
SIAM Journal on Scientific Computing
SMI 2011: Full Paper: Template-based quadrilateral meshing
Computers and Graphics
SMI 2011: Full Paper: A topology-preserving optimization algorithm for polycube mapping
Computers and Graphics
Global parametrization of range image sets
Proceedings of the 2011 SIGGRAPH Asia Conference
Modeling 3D articulated motions with conformal geometry videos (CGVs)
MM '11 Proceedings of the 19th ACM international conference on Multimedia
CAD and mesh repair with Radial Basis Functions
Journal of Computational Physics
Parameterization of star-shaped volumes using green's functions
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
3D reconstruction and video-based rendering of casually captured videos
Proceedings of the 2010 international conference on Video Processing and Computational Video
Design preserving garment transfer
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Bounded distortion mapping spaces for triangular meshes
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Global parametrization by incremental flattening
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
SMI 2012: Full As-conformal-as-possible discrete volumetric mapping
Computers and Graphics
Constructing common base domain by cues from Voronoi diagram
Graphical Models
Proceedings of the 17th International Conference on 3D Web Technology
Computing Extremal Quasiconformal Maps
Computer Graphics Forum
Refining shape correspondence for similar objects using strain
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
Geodesic Polar Coordinates on Polygonal Meshes
Computer Graphics Forum
Improving the Parameterization of Approximate Subdivision Surfaces
Computer Graphics Forum
CrOS: a touch screen interaction technique for cursor manipulation on 2-manifolds
Proceedings of the 18th ACM symposium on Virtual reality software and technology
Map displays for the analysis of scalar data on cerebral aneurysm surfaces
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
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
Curvature-guided adaptive T-spline surface fitting
Computer-Aided Design
Ricci flow-based spherical parameterization and surface registration
Computer Vision and Image Understanding
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
Real-time content-aware texturing for deformable surfaces
Proceedings of the 10th European Conference on Visual Media Production
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
Computer-Aided Design
Technical note: Modeling flow features with user-guided streamline parameterization
Computer-Aided Design
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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We present a survey of recent methods for creating piecewise linear mappings between triangulations in 3D and simpler domains such as planar regions, simplicial complexes, and spheres. We also discuss emerging tools such as global parameterization, inter-surface mapping, and parameterization with constraints. We start by describing the wide range of applications where parameterization tools have been used in recent years. We then briefly review the pertinent mathematical background and terminology, before proceeding to survey the existing parameterization techniques. Our survey summarizes the main ideas of each technique and discusses its main properties, comparing it to other methods available. Thus it aims to provide guidance to researchers and developers when assessing the suitability of different methods for various applications. This survey focuses on the practical aspects of the methods available, such as time complexity and robustness and shows multiple examples of parameterizations generated using different methods, allowing the reader to visually evaluate and compare the results.