Shape transformation for polyhedral objects
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Surface simplification using quadric error metrics
Proceedings of the 24th 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
Seamster: inconspicuous low-distortion texture seam layout
Proceedings of the conference on Visualization '02
Bounded-distortion piecewise mesh parameterization
Proceedings of the conference on Visualization '02
Conformal Surface Parameterization for Texture Mapping
IEEE Transactions on Visualization and Computer Graphics
Computer Aided Geometric Design
Spherical parametrization and remeshing
ACM SIGGRAPH 2003 Papers
A Fast and Simple Stretch-Minimizing Mesh Parameterization
SMI '04 Proceedings of the Shape Modeling International 2004
Parameterization for Remeshing Over Dynamically Changing Domains
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
Discrete conformal mappings via circle patterns
ACM Transactions on Graphics (TOG)
Unconstrained spherical parameterization
SIGGRAPH '05 ACM SIGGRAPH 2005 Sketches
Discrete schemes for Gaussian curvature and their convergence
Computers & Mathematics with Applications
Morphing 3D Mesh Models Based on Spherical Parameterization
MINES '09 Proceedings of the 2009 International Conference on Multimedia Information Networking and Security - Volume 01
A complete framework for 3D mesh morphing
Proceedings of the 11th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and its Applications in Industry
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In this paper, we propose a novel spherical parameterization approach for closed, genus-0, two-manifold, 3D triangular meshes. The method exploits a modified version of the Gaussian curvature, associated to the model vertices. Valid spherical embeddings are obtained by locally flattening the mesh in an iterative manner, which makes it possible to convert the initial mesh into a rounded, sphere-like surface that can be directly mapped onto the unit sphere. Our approach shows superior performances with respect to state of the art techniques, with a reduction in terms of angular and area distortions of more than 35% and 19% respectively.