Marching cubes: A high resolution 3D surface construction algorithm
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
Parametrization of closed surfaces for 3-D shape description
Computer Vision and Image Understanding
Feature-based volume metamorphosis
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Topological Morphing Using Reeb Graphs
CW '02 Proceedings of the First International Symposium on Cyber Worlds (CW'02)
3D geometric metamorphosis based on harmonic map
PG '97 Proceedings of the 5th Pacific Conference on Computer Graphics and Applications
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
Generating genus-n-to-m mesh morphing using spherical parameterization: Research Articles
Computer Animation and Virtual Worlds - CASA 2006
Unconstrained spherical parameterization
SIGGRAPH '05 ACM SIGGRAPH 2005 Sketches
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Meshing point clouds using spherical parameterization
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
A parametric feature-based approach to reconstructing traditional filigree jewelry
Computer-Aided Design
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Current trends in free form editing suggest the development of a new novel editing paradigm for CAD models beyond traditional CAD editing of mechanical parts. To this end we wish to develop accurate, 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 mapping process built on an optimization technique that uses a target function to maintain the correspondence among 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 morphological characteristics between the two morphed objects and performs morphing according to this feature correspondence list. Alignment is obtained without user intervention and is based on pattern matching between the feature graphs of the two morphed objects.