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dc.contributor.authorWallner, Johannesen_US
dc.contributor.authorYang, Qinminen_US
dc.contributor.editorMathieu Desbrun and Helmut Pottmannen_US
dc.date.accessioned2014-01-29T09:31:11Z
dc.date.available2014-01-29T09:31:11Z
dc.date.issued2005en_US
dc.identifier.isbn3-905673-24-Xen_US
dc.identifier.issn1727-8384en_US
dc.identifier.urihttp://dx.doi.org/10.2312/SGP/SGP05/161-170en_US
dc.description.abstractWe consider the swept volume A(X) of a rigid body X which assumes a general set A of positions. A special case of this is a one-parameter motion of X, where the set of poses is curve-like. Here we consider a full-dimensional subset A of the motion group. Such a set of poses can be seen as the tolerance zone of an imprecisely defined pose. Alternatively, a set of poses may be obtained by by measurements or simulation. We analyze the geometric properties of such sets of poses and give algorithms for computing the boundary deltaA(X) in the case that A is a discrete pose cloud. The dimension of the problem, which equals six a priori, is reduced to two.en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Computational Geometry and Object Modelingen_US
dc.titleSwept Volumes of many Posesen_US
dc.description.seriesinformationEurographics Symposium on Geometry Processing 2005en_US


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