Piecewise surface flattening for non-distorted texture mapping
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
SIAM Journal on Scientific and Statistical Computing
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
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Free-form shape design using triangulated surfaces
SIGGRAPH '94 Proceedings of the 21st 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
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Rectangle-packing-based module placement
ICCAD '95 Proceedings of the 1995 IEEE/ACM international conference on Computer-aided design
Fitting smooth surfaces to dense polygon meshes
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Multiresolution analysis for surfaces of arbitrary topological type
ACM Transactions on Graphics (TOG)
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Efficient bump mapping hardware
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Journal of Algorithms
Geometric compression through topological surgery
ACM Transactions on Graphics (TOG)
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
Real time compression of triangle mesh connectivity
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A shading language on graphics hardware: the pixelflow shading system
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
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
Multiresolution signal processing for meshes
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
Computing a canonical polygonal schema of an orientable triangulated surface
SCG '01 Proceedings of the seventeenth annual symposium on Computational geometry
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
Optimally cutting a surface into a disk
Proceedings of the eighteenth annual symposium on Computational geometry
Interactive geometry remeshing
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
Partitioning 3D Surface Meshes Using Watershed Segmentation
IEEE Transactions on Visualization and Computer Graphics
Conformal Surface Parameterization for Texture Mapping
IEEE Transactions on Visualization and Computer Graphics
Superfaces: Polygonal Mesh Simplification with Bounded Error
IEEE Computer Graphics and Applications
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
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This chapter addresses the problem of mesh parameterization for transforming 3D mesh surfaces into images. We begin with a survey of the algorithms for parameterizing a chart, a simply connected mesh isomorphic to a topological disk, into a 2D domain and follow this with a review of several classic and popular parameterization algorithms based on solving the linear or non-linear systems, for instance, barycentric mapping, conformal mapping, harmonic mapping, and geometrical stretch minimizing. We then introduce state-of-the-art methods for opening an arbitrary mesh into a topological disk by cutting along an appropriate set of edges or for partitioning it into several charts. The chapter ends with a discussion of some related applications, such as texture mapping, remeshing, and mesh compression.