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SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Shape transformation for polyhedral objects
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Zippered polygon meshes from range images
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Parametrization of closed surfaces for 3-D shape description
Computer Vision and Image Understanding
Feature-based volume metamorphosis
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A graph-constructive approach to solving systems of geometric constraints
ACM Transactions on Graphics (TOG)
Parametrization and smooth approximation of surface triangulations
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Interior Methods for Nonlinear Optimization
SIAM Review
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PG '97 Proceedings of the 5th Pacific Conference on Computer Graphics and Applications
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SMI '04 Proceedings of the Shape Modeling International 2004
Cross-parameterization and compatible remeshing of 3D models
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Metamorphosis of 3D Polyhedral Models Using Progressive Connectivity Transformations
IEEE Transactions on Visualization and Computer Graphics
Robust spherical parameterization of triangular meshes
Computing - Geometric modelling dagstuhl 2002
Practical Spherical Embedding of Manifold Triangle Meshes
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Mathematical Programming: Series A and B
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ACM Transactions on Graphics (TOG)
Generating genus-n-to-m mesh morphing using spherical parameterization: Research Articles
Computer Animation and Virtual Worlds - CASA 2006
Proceedings of the 2007 ACM symposium on Solid and physical modeling
SMI 2011: Full Paper: Parallel computation of spherical parameterizations for mesh analysis
Computers and Graphics
Meshing point clouds using spherical parameterization
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
A graph-based approach to symmetry detection
SPBG'08 Proceedings of the Fifth Eurographics / IEEE VGTC conference on Point-Based Graphics
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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Current trends in free form editing motivate the development of a novel editing paradigm for CAD models beyond traditional CAD editing of mechanical parts. To this end, we need robust and efficient 3D mesh deformation techniques such as 3D structural morphing. In this paper, we present a feature-based approach to 3D morphing of arbitrary genus-0 polyhedral objects that is appropriate for CAD editing. The technique is based on a sphere parameterization process built on an optimization technique that uses a target function to maintain the correspondence between the initial polygons and the mapped ones, while preserving topology and connectivity through a system of geometric constraints. Finally, we introduce a fully automated feature-based technique that matches surface areas (feature regions) with similar topological characteristics between the two morphed objects and performs morphing according to this feature correspondence list. Alignment is obtained without user intervention based on pattern matching between the feature graphs of the two morphed objects.