Computational methodologies for evaluating form and positional tolerances in a computer integrated manufacturing system

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


In any manufacturing process, the manufactured parts always show some kind of variation in their geometric characteristics (e.g. form, size, orientation, and position). To achieve the desired part quality, these geometric characteristics need to be maintained within predetermined design limits as defined by tolerances. After a part is manufactured, it is then inspected to tolerance specifications. In industries, coordinate measuring machines (CMMs) and vision systems are widely used to accomplish the verification tasks. Owing to the lack of proper definitions and implementational details of the correct assessment criteria for different geometric characteristics, it is difficult to develop appropriate algorithms for the inspection software of the CMMs. Though the standards have used the concepts of the tolerance zones (TZs) [1] and minimum zones (MZs) [2] for other geometric (e.g. form, location, etc.) characteristics, the incompleteness in their definitions creates ambiguities in implementing the inspection procedures. It is necessary to develop rigorous definitions of the geometric characteristics (of manufactured parts) that are to be established from discrete, manufactured data points in terms of either TZs or MZs. It is also important to establish the required mathematical criteria for assessing those geometrical characteristics of the manufactured features. In this paper the concepts of TZ and MZ have been thoroughly investigated for establishing practical methodologies for part inspection.

Original languageEnglish (US)
Pages (from-to)110-117
Number of pages8
JournalArchiv für Mathematische Logik und Grundlagenforschung
Issue number2
StatePublished - Mar 1995


  • Automatic part inspection
  • CMM
  • Geometric tolerances
  • Quality assurance

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Mechanical Engineering
  • Computer Science Applications
  • Industrial and Manufacturing Engineering


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