Actual Morphing: A phsical-based approach for blending two 2D/3D shapes

Shi-Min Hu Tsinghua University Chen-feng Li, Tsinghua University Hui Zhang Tsinghua University

Mathematical Physics mathscidoc:1608.22018

ACM Symposium on Solid Modeling and Applications, 2004
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.
phsical-based Morphing, quasi-physical Law, continuum mechanics, distance map.
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@inproceedings{shi-min2004actual,
  title={Actual Morphing: A phsical-based approach for blending two 2D/3D shapes},
  author={Shi-Min Hu, Chen-feng Li,, and Hui Zhang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160825125742979336449},
  booktitle={ ACM Symposium on Solid Modeling and Applications},
  year={2004},
}
Shi-Min Hu, Chen-feng Li,, and Hui Zhang. Actual Morphing: A phsical-based approach for blending two 2D/3D shapes. 2004. In ACM Symposium on Solid Modeling and Applications. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160825125742979336449.
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