As-rigid-as-possible shape interpolation Export

@inproceedings{citeulike:1943870, abstract = {We present an object-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 identification of the optimal simplex morphing and the appropriate definition of 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-distorting transformation.}, address = {New York, NY, USA}, author = {Alexa, Marc and Or, Daniel C. and Levin, David}, booktitle = {SIGGRAPH '00: Proceedings of the 27th annual conference on Computer graphics and interactive techniques}, citeulike-article-id = {1943870}, citeulike-linkout-0 = {http://portal.acm.org/citation.cfm?id=1218064.1218095}, citeulike-linkout-1 = {http://dx.doi.org/10.1145/344779.344859}, doi = {10.1145/344779.344859}, isbn = {1-58113-208-5}, keywords = {3d, algorithm, fundamentals, image\_space, mathematics, modeling, morphing, polygonal\_mesh, shape}, pages = {157--164}, posted-at = {2009-10-09 09:13:31}, priority = {2}, publisher = {ACM Press/Addison-Wesley Publishing Co.}, title = {As-rigid-as-possible shape interpolation}, url = {http://dx.doi.org/10.1145/344779.344859}, year = {2000} }

TY - CONF ID - citeulike:1943870 L3 - citeulike-article-id:1943870 N2 - We present an object-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 identification of the optimal simplex morphing and the appropriate definition of 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-distorting transformation. SN - 1-58113-208-5 AD - New York, NY, USA EP - 164 TI - As-rigid-as-possible shape interpolation PB - ACM Press/Addison-Wesley Publishing Co. T2 - SIGGRAPH '00: Proceedings of the 27th annual conference on Computer graphics and interactive techniques SP - 157 KW - 3d KW - algorithm KW - fundamentals KW - image_space KW - mathematics KW - modeling KW - morphing KW - polygonal_mesh KW - shape AU - Alexa, Marc AU - Or, Daniel AU - Levin, David PY - 2000/// UR - http://dx.doi.org/10.1145/344779.344859 ER -