Detection and reconstruction of freeform sweeps

Handle URI:
http://hdl.handle.net/10754/575712
Title:
Detection and reconstruction of freeform sweeps
Authors:
Barton, Michael ( 0000-0002-1843-251X ) ; Pottmann, Helmut ( 0000-0002-3195-9316 ) ; Wallner, Johannes
Abstract:
We 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. © 2014 The Author(s) Computer Graphics Forum © 2014 The Eurographics Association and John Wiley & Sons Ltd. Published by John Wiley & Sons Ltd.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Applied Mathematics and Computational Science Program; Visual Computing Center (VCC)
Publisher:
Wiley-Blackwell
Journal:
Computer Graphics Forum
Issue Date:
May-2014
DOI:
10.1111/cgf.12287
Type:
Article
ISSN:
01677055
Sponsors:
This research has been supported by the European Community's 7th Framework Programme under grant agreement 286426 (GEMS).
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Applied Mathematics and Computational Science Program; Visual Computing Center (VCC); Visual Computing Center (VCC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorBarton, Michaelen
dc.contributor.authorPottmann, Helmuten
dc.contributor.authorWallner, Johannesen
dc.date.accessioned2015-08-24T08:36:23Zen
dc.date.available2015-08-24T08:36:23Zen
dc.date.issued2014-05en
dc.identifier.issn01677055en
dc.identifier.doi10.1111/cgf.12287en
dc.identifier.urihttp://hdl.handle.net/10754/575712en
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. © 2014 The Author(s) Computer Graphics Forum © 2014 The Eurographics Association and John Wiley & Sons Ltd. Published by John Wiley & Sons Ltd.en
dc.description.sponsorshipThis research has been supported by the European Community's 7th Framework Programme under grant agreement 286426 (GEMS).en
dc.publisherWiley-Blackwellen
dc.titleDetection and reconstruction of freeform sweepsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentVisual Computing Center (VCC)en
dc.identifier.journalComputer Graphics Forumen
dc.contributor.institutionTU Wien, Austriaen
dc.contributor.institutionTU Graz, Austriaen
kaust.authorBarton, Michaelen
kaust.authorPottmann, Helmuten
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