Fast computation of the normal vector field of the surface of a 3-D discrete object
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Fast Estimation of Mean Curvature on the Surface of a 3D Discrete Object
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
Strong thinning and polyhedric approximation of the surface of a voxel object
Discrete Applied Mathematics
Global conformal surface parameterization
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Surface Classification Using Conformal Structures
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Optimal Global Conformal Surface Parameterization
VIS '04 Proceedings of the conference on Visualization '04
Discrete conformal mappings via circle patterns
ACM Transactions on Graphics (TOG)
Discrete differential forms for computational modeling
ACM SIGGRAPH 2006 Courses
Smooth 2D coordinate systems on discrete surfaces
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
Mesh Parameterization with Generalized Discrete Conformal Maps
Journal of Mathematical Imaging and Vision
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This paper defines a theory of conformal parametrization of digital surfaces made of surfels equipped with a normal vector. The main idea is to locally project each surfel to the tangent plane, therefore deforming its aspect-ratio. It is a generalization of the theory known for polyhedral surfaces. The main difference is that the conformal ratios that appear are no longer real in general. It yields a generalization of the standard Laplacian on weighted graphs.