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
Hierarchical face clustering on polygonal surfaces
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Least squares conformal maps for automatic texture atlas generation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Computer Aided Geometric Design
Discrete multiscale vector field decomposition
ACM SIGGRAPH 2003 Papers
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
Variational shape approximation
ACM SIGGRAPH 2004 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
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
Periodic global parameterization
ACM Transactions on Graphics (TOG)
Design of tangent vector fields
ACM SIGGRAPH 2007 papers
Designing quadrangulations with discrete harmonic forms
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
On Computing Handle and Tunnel Loops
CW '07 Proceedings of the 2007 International Conference on Cyberworlds
Discrete one-forms on meshes and applications to 3D mesh parameterization
Computer Aided Geometric Design
Discrete Laplace--Beltrami operators and their convergence
Computer Aided Geometric Design
Discrete surface Ricci flow: theory and applications
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
Automatic and topology-preserving gradient mesh generation for image vectorization
ACM SIGGRAPH 2009 papers
Generalized Koebe's method for conformal mapping multiply connected domains
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
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Surface parameterization is a fundamental tool in geometric modeling and processing. Different to most existing methods, this work introduces a linear method, called slit map, to conformally parameterize multiply connected disk-like surfaces with canonical domains, namely circular slit domain (annulus with concentric circular slits) or parallel slit domain (rectangle with parallel slits) equivalently. The construction is based on holomorphic one-forms, which is intrinsic, automatic and efficient. Slit map owns many merits over existing methods. The regularity of the image boundaries simplifies many geometric process, such as surface matching and etc; the full utilization of the parallel slit texture domain improves the packing efficiency for texture mapping; the positions of the slits are completely determined by the surface geometry and can be treated as the finger prints for surface classification. In the paper, both the underlying theory and the algorithm pipeline are explained. Preliminary experimental results are shown for several application purposes.