Toward a Mathematical Definition of Reconstruction Operation for ISO GPS Standards

Yifan Qie, Nabil Anwer, Paul Scott, Jane Jiang, Vijay Scrinivasan

Research output: Contribution to journalConference articlepeer-review

4 Citations (Scopus)


ISO standards on geometrical product specifications and verification (GPS) define several geometrical operations, such as extraction, partitioning, filtration, and association. These operations are required for obtaining ideal or non-ideal features and acts at both specification and verification domains. Recently, another operation called reconstruction has become an important topic of discussion in the ISO GPS standards committee ISO/TC 213. The operation of reconstruction produces a continuous surface from a finite number of points. Different from association, which is an operation used to fit pre-defined ideal features to non-ideal features or point-cloud, the main challenge of reconstruction is to guarantee that the topology of the underlying surface is preserved and its boundaries are well defined. This paper takes some initial steps toward a mathematical definition of the reconstruction operation and explores fundamental concepts for specification and verification. Challenges and future research are also highlighted.
Original languageEnglish
Pages (from-to)152-157
Number of pages6
JournalProcedia CIRP
Early online date17 Aug 2020
Publication statusPublished - 15 Sep 2020
Event16th CIRP Conference on Computer Aided Tolerancing - Charlotte, United States
Duration: 15 Jun 202017 Jun 2020
Conference number: 16


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