Alexa, Marc (2000)
As-Rigid-As-Possible Shape Interpolation.
Siggraph 2000. Conference Proceedings.
Konferenzveröffentlichung, Bibliographie
Kurzbeschreibung (Abstract)
We present an optic-space morphing technique that blends the interiors of given two- or three-dimensional shapes rather than their boundaries. The morph is rigid in the sense that local volumes are least-distorting as they vary from their source to target configurations. Given a boundary vertex correspondence, the source and target shapes are decomposed into isomorphic simplicial complexes. For the simplicial complexes, we find a closed-form expression allocating the paths of both boundary and interior vertices from source to target locations as a function of time. Key points are the definition af an error functional whose minimization defines the paths of the vertices. Each pair of corresponding simplices defines an affine transformation, which is factored into a rotation and a stretching transformation. These local transformations are naturally interpolated over time and serve as the basis for composing a global coherent least-disorting transformation.
| Typ des Eintrags: | Konferenzveröffentlichung |
|---|---|
| Erschienen: | 2000 |
| Autor(en): | Alexa, Marc |
| Art des Eintrags: | Bibliographie |
| Titel: | As-Rigid-As-Possible Shape Interpolation |
| Sprache: | Deutsch |
| Publikationsjahr: | 2000 |
| Verlag: | Addison-Wesley, Reading, MA, USA |
| Reihe: | Computer Graphics Annual Conference Series |
| Veranstaltungstitel: | Siggraph 2000. Conference Proceedings |
| Kurzbeschreibung (Abstract): | We present an optic-space morphing technique that blends the interiors of given two- or three-dimensional shapes rather than their boundaries. The morph is rigid in the sense that local volumes are least-distorting as they vary from their source to target configurations. Given a boundary vertex correspondence, the source and target shapes are decomposed into isomorphic simplicial complexes. For the simplicial complexes, we find a closed-form expression allocating the paths of both boundary and interior vertices from source to target locations as a function of time. Key points are the definition af an error functional whose minimization defines the paths of the vertices. Each pair of corresponding simplices defines an affine transformation, which is factored into a rotation and a stretching transformation. These local transformations are naturally interpolated over time and serve as the basis for composing a global coherent least-disorting transformation. |
| Freie Schlagworte: | Shape blending, Vertex path problems, Compatible triangulation |
| Fachbereich(e)/-gebiet(e): | 20 Fachbereich Informatik 20 Fachbereich Informatik > Graphisch-Interaktive Systeme |
| Hinterlegungsdatum: | 16 Apr 2018 09:05 |
| Letzte Änderung: | 16 Apr 2018 09:05 |
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