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
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Fast and Intuitive Metamorphosis of 3D Polyhedral Models Using SMCC Mesh Merging Scheme
IEEE Transactions on Visualization and Computer Graphics
Metamorphosis of Arbitrary Triangular Meshes
IEEE Computer Graphics and Applications
Spherical parametrization and remeshing
ACM SIGGRAPH 2003 Papers
Multiresolution Interpolation Meshes
PG '01 Proceedings of the 9th Pacific Conference on Computer Graphics and Applications
Local Control for Mesh Morphing
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Pyramid Coordinates for Morphing and Deformation
3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
Functions for manipulating floating-point numbers
ACM SIGNUM Newsletter
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Mesh deformation based on radial basis function interpolation
Computers and Structures
Dual Laplacian morphing for triangular meshes
Computer Animation and Virtual Worlds - CASA 2007
Morphing 3D Mesh Models Based on Spherical Parameterization
MINES '09 Proceedings of the 2009 International Conference on Multimedia Information Networking and Security - Volume 01
Direct spherical parameterization of 3D triangular meshes using local flattening operations
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part I
Feature-based 3D morphing based on geometrically constrained spherical parameterization
Computer Aided Geometric Design
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In this paper, we propose a complete 3D mesh morphing technique dedicated to closed, genus-0 3D models. The two 3D objects are first mapped onto a common spherical domain. For this purpose, we employ a parameterization method, based on a modified version of the Gaussian curvature, that returns a locally flattened version of the original model with a quasi convex structure, which can be simply projected onto the unit sphere. By overlapping the two embeddings and warping them in a suitable manner with the aid of RBF functions, we establish a correspondence between the models. We also introduce a new method to create a metamesh model that share the topology of both input objects and which can easily be transformed from the source model into the target. The experimental results obtained show that the obtained transitions are smooth, consistent with respect to both geometry and topology, and visually pleasant.