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While most existing literature on shape morphing emphasizes the issue of finding a good correspondence map between two object representations, this research primarily investigates the challenging problem of how to find a smooth, physically\u2010meaningful transition path between two homeomorphic point\u2010set surfaces. We analyze the deformation of surface involved in the morphing process using concepts in differential geometry and continuum mechanics. The morphing paths can be determined by optimizing an energy functional, which characterizes the intrinsic deformation of the surface away from its rest shape. As demonstrated in the examples, our method automatically produces a series of natural and physically\u2010plausible in\u2010between shapes, which greatly alleviates the shrinking, stretching, and self\u2010intersection problems that often occur when linear interpolation is employed for the morphing of two objects. We envision that our new technique will continue to broaden the application scope of point\u2010set surfaces and their dynamic animation. Copyright \u00a9 2005 John Wiley &amp; Sons, Ltd.<\/jats:p>","DOI":"10.1002\/cav.100","type":"journal-article","created":{"date-parts":[[2005,9,21]],"date-time":"2005-09-21T23:21:01Z","timestamp":1127344861000},"page":"509-518","source":"Crossref","is-referenced-by-count":15,"title":["Physically based morphing of point\u2010sampled surfaces"],"prefix":"10.1002","volume":"16","author":[{"given":"Yunfan","family":"Bao","sequence":"first","affiliation":[]},{"given":"Xiaohu","family":"Guo","sequence":"additional","affiliation":[]},{"given":"Hong","family":"Qin","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2005,9,15]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1002\/cav.22"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/s003710050149"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1111\/1467-8659.00575"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-26808-1_9"},{"key":"e_1_2_1_6_2","doi-asserted-by":"crossref","unstructured":"SederbergTW GaoP WangG MuH.2\u2010d shape blending: an intrinsic solution to the vertex path problem. 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