Detection and reconstruction of freeform sweeps

Michael Barton, Helmut Pottmann, Johannes Wallner

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)23-32
Number of pages10
JournalComputer Graphics Forum
Volume33
Issue number2
DOIs
StatePublished - Jun 1 2014

ASJC Scopus subject areas

  • Computer Networks and Communications

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