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
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Texture mapping progressive meshes
Proceedings of the 28th 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
Texture Mapping Using Surface Flattening via Multidimensional Scaling
IEEE Transactions on Visualization and Computer Graphics
Computer Aided Geometric Design
A Fast and Simple Stretch-Minimizing Mesh Parameterization
SMI '04 Proceedings of the Shape Modeling International 2004
Feature-based surface parameterization and texture mapping
ACM Transactions on Graphics (TOG)
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
ABF++: fast and robust angle based flattening
ACM Transactions on Graphics (TOG)
As-rigid-as-possible shape manipulation
ACM SIGGRAPH 2005 Papers
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
IEEE Transactions on Visualization and Computer Graphics
Mesh Parameterization for an Open Connected Surface without Partition
CAD-CG '05 Proceedings of the Ninth International Conference on Computer Aided Design and Computer Graphics
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
Setting the boundary free: a composite approach to surface parameterization
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
As-rigid-as-possible surface modeling
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
Conformal equivalence of triangle meshes
ACM SIGGRAPH 2008 papers
Optimal Surface Parameterization Using Inverse Curvature Map
IEEE Transactions on Visualization and Computer Graphics
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
Variational harmonic maps for space deformation
ACM SIGGRAPH 2009 papers
Energy-based image deformation
SGP '09 Proceedings of the Symposium on Geometry Processing
Technical Section: Mesh reconstruction by meshless denoising and parameterization
Computers and Graphics
Mesh parameterization based on one-step inverse forming
Computer-Aided Design
Pattern-aware shape deformation using sliding dockers
Proceedings of the 2011 SIGGRAPH Asia Conference
Flexible shape control for automatic resizing of apparel products
Computer-Aided Design
Technical section: Memory efficient light baking
Computers and Graphics
Fast automatic skinning transformations
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
Modeling Polyhedral Meshes with Affine Maps
Computer Graphics Forum
Shape-Up: Shaping Discrete Geometry with Projections
Computer Graphics Forum
Efficient texture mapping by homogeneous patch discovery
Proceedings of the Eighth Indian Conference on Computer Vision, Graphics and Image Processing
Constrained texture mapping on subdivision surfaces
CVM'12 Proceedings of the First international conference on Computational Visual Media
Injective and bounded distortion mappings in 3D
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Controlled-distortion constrained global parametrization
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Planar shape interpolation with bounded distortion
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Geometry curves: A compact representation for 3D shapes
Graphical Models
Urban pattern: layout design by hierarchical domain splitting
ACM Transactions on Graphics (TOG)
SMI 2013: Efficient computation of constrained parameterizations on parallel platforms
Computers and Graphics
A simple and local method for computing quasi-conformal map on 3D surfaces
Computer-Aided Design
Texture mapping subdivision surfaces with hard constraints
The Visual Computer: International Journal of Computer Graphics
Special Section on CAD/Graphics 2013: Geometric multi-covering
Computers and Graphics
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We present a novel approach to parameterize a mesh with disk topology to the plane in a shape-preserving manner. Our key contribution is a local/global algorithm, which combines a local mapping of each 3D triangle to the plane, using transformations taken from a restricted set, with a global "stitch" operation of all triangles, involving a sparse linear system. The local transformations can be taken from a variety of families, e.g. similarities or rotations, generating different types of parameterizations. In the first case, the parameterization tries to force each 2D triangle to be an as-similar-as-possible version of its 3D counterpart. This is shown to yield results identical to those of the LSCM algorithm. In the second case, the parameterization tries to force each 2D triangle to be an as-rigid-as-possible version of its 3D counterpart. This approach preserves shape as much as possible. It is simple, effective, and fast, due to pre-factoring of the linear system involved in the global phase. Experimental results show that our approach provides almost isometric parameterizations and obtains more shape-preserving results than other state-of-the-art approaches. We present also a more general "hybrid" parameterization model which provides a continuous spectrum of possibilities, controlled by a single parameter. The two cases described above lie at the two ends of the spectrum. We generalize our local/global algorithm to compute these parameterizations. The local phase may also be accelerated by parallelizing the independent computations per triangle.