Detection and Reconstruction of Freeform Sweeps

dc.contributor.authorBarton, Michaelen_US
dc.contributor.authorPottmann, Helmuten_US
dc.contributor.authorWallner, Johannesen_US
dc.contributor.editorB. Levy and J. Kautzen_US
dc.date.accessioned2015-03-03T12:25:44Z
dc.date.available2015-03-03T12:25:44Z
dc.date.issued2014en_US
dc.description.abstractWe study the difficult problem of deciding if parts of a freeform surface can be generated, or approximately generated, by the motion of a planar profile through space. While this task is basic for understanding the geometry of shapes as well as highly relevant for manufacturing and building construction, previous approaches were confined to special cases like kinematic surfaces or moulding surfaces. The general case remained unsolved so far. We approach this problem by a combination of local and global methods: curve analysis with regard to movability , curve comparison by common substring search in curvature plots, an exhaustive search through all planar cuts enhanced by quick rejection procedures, the ordering of candidate profiles and finally, global optimization. The main applications of our method are digital reconstruction of CAD models exhibiting sweep patches, and aiding in manufacturing freeform surfaces by pointing out those parts which can be approximated by sweeps.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttp://dx.doi.org/10.1111/cgf.12287en_US
dc.publisherThe Eurographics Association and John Wiley and Sons Ltd.en_US
dc.titleDetection and Reconstruction of Freeform Sweepsen_US
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