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.
|Number of pages||6|
|Early online date||17 Aug 2020|
|Publication status||Published - 15 Sep 2020|
|Event||16th CIRP Conference on Computer Aided Tolerancing - Charlotte, United States|
Duration: 15 Jun 2020 → 17 Jun 2020
Conference number: 16
Qie, Y., Anwer, N., Scott, P., Jiang, J., & Scrinivasan, V. (2020). Toward a Mathematical Definition of Reconstruction Operation for ISO GPS Standards. Procedia CIRP, 92, 152-157. https://doi.org/10.1016/j.procir.2020.05.183