0

Full Content is available to subscribers

Subscribe/Learn More  >

Optimization of Geometrically Trimmed B-Spline Surfaces

[+] Author Affiliations
Paul Gelhausen

AVID LLC

Arvid Myklebust, Xinyu Zhang

Virginia Polytechnic Institute and State University

Yaohang Li

North Carolina A&T State University

Paper No. IMECE2005-81862, pp. 165-171; 7 pages
doi:10.1115/IMECE2005-81862
From:
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Computers and Information in Engineering
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Computers and Information in Engineering Division
  • ISBN: 0-7918-4214-2 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME

abstract

Unlike the visual trimming of B-spline surfaces, which hides unwanted portions in rendering, the geometric trimming approach provides a mathematically clean representation without redundancy. However, the process may lead to significant deviation from the corresponding portion on the original surface. Optimization is required to minimize approximation errors and obtain higher accuracy. In this paper, we describe the application of a novel global optimization method, so-called hybrid Parallel Tempering (PT) and Simulated Annealing (SA) method, for the minimization of B-spline surface representation errors. The high degree of freedom within the configuration of B-spline surfaces as well as the “rugged” landscapes of objective functions complicate the error minimization process. The hybrid PT/SA method, which is an effective algorithm to overcome the slow convergence, waiting dilemma, and initial value sensitivity, is a good candidate for optimizing geometrically trimmed B-spline surfaces. Examples of application to geometrically trimmed wing components are presented and discussed. Our preliminary results confirm our expectation.

Copyright © 2005 by ASME

Figures

Tables

Interactive Graphics

Video

Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

NOTE:
Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In