Algorithm 757: MISCFUN, a software package to compute uncommon special functions
ACM Transactions on Mathematical Software (TOMS)
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
Seamster: inconspicuous low-distortion texture seam layout
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Global conformal surface parameterization
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ABF++: fast and robust angle based flattening
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Greedy optimal homotopy and homology generators
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Discrete conformal mappings via circle patterns
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Periodic global parameterization
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Designing quadrangulations with discrete harmonic forms
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Linear angle based parameterization
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Optimal Surface Parameterization Using Inverse Curvature Map
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Discrete surface Ricci flow: theory and applications
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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
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Discrete Curvature Flows for Surfaces and 3-Manifolds
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Semiregular patterns on surfaces
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ACM Transactions on Graphics (TOG)
Spectral conformal parameterization
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A local/global approach to mesh parameterization
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Parameterizing subdivision surfaces
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Automatic registration of multiple projectors on swept surfaces
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Bounded distortion mapping spaces for triangular meshes
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Global parametrization by incremental flattening
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
SMI 2012: Full Canonical conformal mapping for high genus surfaces with boundaries
Computers and Graphics
Discrete heat kernel determines discrete Riemannian metric
Graphical Models
Computing Extremal Quasiconformal Maps
Computer Graphics Forum
Can Mean-Curvature Flow be Modified to be Non-singular?
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Improving the Parameterization of Approximate Subdivision Surfaces
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Controlled-distortion constrained global parametrization
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Planar shape interpolation with bounded distortion
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
SMI 2013: Efficient computation of constrained parameterizations on parallel platforms
Computers and Graphics
Globally optimal cortical surface matching with exact landmark correspondence
IPMI'13 Proceedings of the 23rd international conference on Information Processing in Medical Imaging
A simple and local method for computing quasi-conformal map on 3D surfaces
Computer-Aided Design
Folding-Free Global Conformal Mapping for Genus-0 Surfaces by Harmonic Energy Minimization
Journal of Scientific Computing
A Splitting Method for Orthogonality Constrained Problems
Journal of Scientific Computing
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We present a new algorithm for conformal mesh parameterization. It is based on a precise notion of discrete conformal equivalence for triangle meshes which mimics the notion of conformal equivalence for smooth surfaces. The problem of finding a flat mesh that is discretely conformally equivalent to a given mesh can be solved efficiently by minimizing a convex energy function, whose Hessian turns out to be the well known cot-Laplace operator. This method can also be used to map a surface mesh to a parameter domain which is flat except for isolated cone singularities, and we show how these can be placed automatically in order to reduce the distortion of the parameterization. We present the salient features of the theory and elaborate the algorithms with a number of examples.