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Volume Estimation of Molded Artifacts by B-Splines

Published

Author(s)

David E. Gilsinn, Bruce R. Borchardt, Amelia Tebbe

Abstract

The volumes of two industrially molded non-metallic artifacts were estimated using surface data obtained by a coordinate measuring machine. A tensor product of B-splines was used to model the probed data points on the surface and the Divergence Theorem was used to estimate the volumes. The volume results and volume uncertainties for several cases are discussed.
Proceedings Title
Proceedings of the SIAM Conference on Mathematics for Industry: Challenges and Frontiers
Conference Dates
October 9-10, 2009
Conference Location
San Francisco, CA

Keywords

B-splines, coordinate measuring machine, divergence theorem, knot algorithm, molded artifacts, volume

Citation

Gilsinn, D. , Borchardt, B. and Tebbe, A. (2009), Volume Estimation of Molded Artifacts by B-Splines, Proceedings of the SIAM Conference on Mathematics for Industry: Challenges and Frontiers, San Francisco, CA (Accessed July 14, 2024)

Issues

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Created October 9, 2009, Updated February 19, 2017