Full Content is available to subscribers

Subscribe/Learn More  >

Finding All Undercut-Free Parting Directions for Solids of Revolution

[+] Author Affiliations
Xiaorui Chen, Sara McMains

University of California at Berkeley, Berkeley, CA

Paper No. DETC2007-34688, pp. 489-500; 12 pages
  • ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 6: 33rd Design Automation 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: 0-7918-4807-8 | eISBN: 0-7918-3806-4
  • Copyright © 2007 by UC Berkeley


For molding and casting processes, geometries that have undercut-free parting directions (UFPDs) are preferred for manufacturing. However, existing approaches either cannot identify all UFPDs or cannot run at interactive speeds (the best exhaustive algorithm, unimplemented, runs at O(n4 ) time theoretically). Our proposed feature-based approach avoids testing the whole Gaussian sphere of potential directions by first efficiently identify all UFPDs for individual features such as extruded and revolved features, thus significantly reducing test space and running time. In this paper, we describe a fast algorithm to find all UFPDs for solids of revolution. The algorithm is based on analyzing the constructing 2D generator profiles, building on our previous results for 2-moldability analysis of polygons. The running time is O(n), where n is the geometric complexity of the 2D generator profile. For parts containing multiple solids of revolution, the set of possible UFPDs can be significantly reduced based upon an analysis of each such feature, efficiently identifying many as non-2-moldable or reducing the search space for exhaustive algorithms that find all UFPDs.

Copyright © 2007 by UC Berkeley
Topics: Solids



Interactive Graphics


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

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