Shape transformation for polyhedral objects
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Feature-based volume metamorphosis
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
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ACM Transactions on Graphics (TOG)
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Journal of Computational and Applied Mathematics
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Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
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Computational Geometry: Theory and Applications - special issue on virtual reality
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Consistent mesh parameterizations
Proceedings of the 28th 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
Feature-based Surface Decomposition for Correspondence and Morphing Between Polyhedra
CA '98 Proceedings of the Computer Animation
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SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
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ACM SIGGRAPH 2004 Papers
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ACM SIGGRAPH 2004 Papers
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3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
Metamorphosis of 3D Polyhedral Models Using Progressive Connectivity Transformations
IEEE Transactions on Visualization and Computer Graphics
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Morphing based on strain field interpolation: Research Articles
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ACM SIGGRAPH 2005 Papers
Physically based morphing of point-sampled surfaces: Animating Geometrical Models
Computer Animation and Virtual Worlds - CASA 2005
IEICE - Transactions on Information and Systems
Generating genus-n-to-m mesh morphing using spherical parameterization: Research Articles
Computer Animation and Virtual Worlds - CASA 2006
Actual morphing: a physics-based approach to blending
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
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In this paper, we present a new technique based on strain fields to carry out 3D shape morphing for applications in computer graphics and related areas. Strain is an important geometric quantity used in mechanics to describe the deformation of objects. We apply it in a novel way to analyze and control deformation in morphing. Using position vector fields, the strain field relating source and target shapes can be obtained. By interpolating this strain field between zero and a final desired value we can obtain the position field for intermediate shapes. This method ensures that the 3D morphing process is smooth. Locally, volumes suffer minimal distortion, and no shape jittering or wobbling happens: other methods do not necessarily have these desirable properties. We also show how to control the method so that changes of shape (in particular, size changes) vary linearly with time.