Evaluation of straightness and flatness tolerances using the minimum zone

Mark T. Traband, Sanjay Joshi, Richard A. Wysk, Tom M. Cavalier

Research output: Contribution to journalArticlepeer-review

104 Scopus citations


This paper presents an algorithm that can be used to determine if sample measurements from a coordinate measuring machine, or other two- or three-dimensional measuring device, meet the ANSI Y14.5M requirements for straightness or flatness. The procedure utilizes the concept of a convex hull to give the minimum tolerance zone from a set of measured points. To date, approximation methods or iterative search techniques have been primarily utilized for determining the minimum zone, but these methods do not necessarily provide the absolute minimum zone. This paper presents a method that guarantees the minimum zone, Examples are presented which compare the minimum zone method developed with the least-squares evaluation method.

Original languageEnglish (US)
Pages (from-to)189-195
Number of pages7
JournalManufacturing review
Issue number3
StatePublished - Sep 1 1989

All Science Journal Classification (ASJC) codes

  • General Engineering


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