On the limited memory BFGS method for large scale optimization
Mathematical Programming: Series A and B
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Interactive mesh fusion based on local 3D metamorphosis
Proceedings of the 1999 conference on Graphics interface '99
Texture mapping progressive meshes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Cut-and-paste editing of multiresolution surfaces
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Level set surface editing operators
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
Algebraic Mesh Quality Metrics
SIAM Journal on Scientific Computing
Smooth surface reconstruction from noisy range data
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Matchmaker: constructing constrained texture maps
ACM SIGGRAPH 2003 Papers
Radial Basis Functions
Topology-Free Cut-and-Paste Editing over Meshes
GMP '04 Proceedings of the Geometric Modeling and Processing 2004
Mesh editing with poisson-based gradient field manipulation
ACM SIGGRAPH 2004 Papers
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
ABF++: fast and robust angle based flattening
ACM Transactions on Graphics (TOG)
Discrete conformal mappings via circle patterns
ACM Transactions on Graphics (TOG)
Interactive decal compositing with discrete exponential maps
ACM SIGGRAPH 2006 Papers
SnapPaste: an interactive technique for easy mesh composition
The Visual Computer: International Journal of Computer Graphics
On Linear Variational Surface Deformation Methods
IEEE Transactions on Visualization and Computer Graphics
Conformal equivalence of triangle meshes
ACM SIGGRAPH 2008 papers
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
A local/global approach to mesh parameterization
SGP '08 Proceedings of the Symposium on Geometry Processing
meshmixer: an interface for rapid mesh composition
ACM SIGGRAPH 2010 Talks
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Constrained isometric planar parameterizations are central to a broad spectrum of applications. In this work, we present a non linear solver developed on OpenCL that is efficiently parallelizable on modern massively parallel architectures. We establish how parameterization relates to mesh smoothing and show how to efficiently and robustly solve the planar mesh parameterization problem with constraints. Furthermore, we demonstrate the applicability of our approach to real-time cut-and-paste editing and interactive mesh deformation.