Triangular Bézier surface: From reconstruction to roughness parameter computation

Luca Pagani, Paul Scott

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Texture parameters computation on freeform surfaces is becoming an important topic in surface characterization. Triangular meshes are used to describe a measured freeform surface. This reconstruction method linearly interpolates three points, to better approximate the surface triangular Bézier patches are used. A method to compute areal texture parameters is proposed. Based on numerical experiments the degree of the function approximating the surface and the number of quadrature points required to compute parameters values are investigated.
Original languageEnglish
Title of host publicationAdvanced Mathematical and Computational Tools in Metrology and Testing XI
EditorsFranco Pavese, Markus Baer, Jean-Remy Filtz, Alistair B. Forbes, Leslie Pendrill, Kastsuhiro Shirono
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages48-57
Number of pages10
Volume89
ISBN (Electronic)9789813274310
ISBN (Print)9789813274297
DOIs
Publication statusPublished - 16 Dec 2018

Publication series

NameAdvances in Mathematics and Applied Sciences
PublisherWorld Scientific
Volume89
ISSN (Print)1793-0901

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  • Cite this

    Pagani, L., & Scott, P. (2018). Triangular Bézier surface: From reconstruction to roughness parameter computation. In F. Pavese, M. Baer, J-R. Filtz, A. B. Forbes, L. Pendrill, & K. Shirono (Eds.), Advanced Mathematical and Computational Tools in Metrology and Testing XI (Vol. 89, pp. 48-57). (Advances in Mathematics and Applied Sciences; Vol. 89). World Scientific Publishing Co. Pte Ltd. https://doi.org/10.1142/9789813274303_0005