Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. AsRigidAsPossible Shape Interpolation
 Akeley, K. ; Association for Computing Machinery ACM, Special Interest Group on Graphics SIGGRAPH: Siggraph 2000. Conference Proceedings Reading/Mass.: AddisonWesley, 2000 (Computer graphics: Annual conference series) ISBN: 0201485648 ISBN: 1581132085 pp.157164 
 SIGGRAPH, International Conference on Computer Graphics and Interactive Techniques <27, 2000, New Orleans/La.> 

 English 
 Conference Paper 
 Fraunhofer IGD () 
 shape blending; vertex path problem; compatible triangulation 
Abstract
We present an opticspace morphing technique that blends the interiors of given two or threedimensional shapes rather than their boundaries. The morph is rigid in the sense that local volumes are leastdistorting 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 closedform 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 leastdisorting transformation.