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Finding the Maximal Turning State of an Arbitrary Mesh

[+] Author Affiliations
Matthew Watkins, Keyvan Rahmani, Roshan D’Souza

Michigan Technological University, Houghton, MI

Paper No. DETC2007-34907, pp. 63-67; 5 pages
doi:10.1115/DETC2007-34907
From:
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 2: 27th Computers and Information in Engineering Conference, Parts A and B
  • Las Vegas, Nevada, USA, September 4–7, 2007
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4803-5 | eISBN: 0-7918-3806-4
  • Copyright © 2007 by ASME

abstract

This paper presents a new algorithm for computing the maximal turning state of an arbitrary mesh. This is accomplished by intersecting the mesh with a plane at even intervals along the mesh, and computing the farthest point in that plane from an axis of rotation. The algorithm will run in O(|E |*n) time and θ(n) space, where E is the list of the edges on the mesh and n is the number of intervals used. Because of this, a very high degree of accuracy can be obtained with very little computational cost. The developed algorithm has been implemented and tested on some meshed models.

Copyright © 2007 by ASME

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