Actual Morphing: A Physical-Based Approach for Blending Two 2D/3D Shapes

Hu, S. M.; Li, C. F.; Zhang, H.

Actual Morphing: A Physical-Based Approach for Blending Two 2D/3D Shapes

Files

309-314_hu.pdf (1.11 MB)

Date

2004

Authors

Hu, S. M.
Li, C. F.
Zhang, H.

Publisher

The Eurographics Association

Abstract

When two topologically identical shapes are blended, various possible transformation paths exist from the source shape to the target shape. Which one is the most plausible? Here we propose that the transformation process should obey a quasi-physical law. This paper combines morphing with deformation theory from continuum mechanics. By using strain energy, which reflects the magnitude of deformation, as an objective function, we convert the problem of path interpolation into an unconstrained optimization problem. To reduce the number of variables in the optimization we adopt shape functions, as used in the finite element method (FEM). A point-to-point correspondence between the source and target shapes is naturally established using these polynomial functions plus a distance map.

        @inproceedings{10.2312:sm.20041407
,
booktitle = {Solid Modeling
},
editor = {Gershon Elber and Nicholas Patrikalakis and Pere Brunet
},
title = {{Actual Morphing: A Physical-Based Approach for Blending Two 2D/3D Shapes
}},
author = {Hu, S. M. and 
Li, C. F. and 
Zhang, H.
},
year = {2004
},
publisher = {The Eurographics Association
},
ISSN = {1811-7783
},
ISBN = {3-905673-55-X
},
DOI = {10.2312/sm.20041407
}
}