Tolerance-Maps for line-profiles constructed from Boolean intersection of T-Map primitives for arc-segments

Yifei He, Joseph K. Davidson, Jami J. Shah

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


For purposes of automating the assignment of tolerances during design, a math model, called the Tolerance-Map (T-Map), has been produced for most of the tolerance classes that are used by designers. Each T-Map is a hypothetical point-space that represents the geometric variations of a feature in its tolerance-zone. Of the six tolerance classes defined in the ASME/ANSI/ISO Standards, profile tolerances have received the least attention for representation in computer models. The objective of this paper is to describe a new method of construction, using computer-aided geometric design, which can produce the T-Map for any line-profile. The new method requires decomposing a profile into segments, creating a solid-model T-Map primitive for each, and then combining these by Boolean intersection to generate the T-Map for a complete line profile of any shape. To economize on length, the scope of this paper is limited to line-profiles formed from circular arc-segments. The parts containing the line-profile features are considered to be rigid.

Original languageEnglish (US)
Pages (from-to)341-352
Number of pages12
JournalJournal of Zhejiang University: Science A
Issue number5
StatePublished - May 1 2015


  • Boolean intersection
  • Geometric tolerance
  • Line-profile
  • Tolerance modelling
  • Tolerance-zone

ASJC Scopus subject areas

  • Engineering(all)


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