Triangular Bézier surface: From reconstruction to roughness parameter computation

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

Fingerprint

Surface roughness
Textures
Experiments

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

Triangular Bézier surface: From reconstruction to roughness parameter computation. / Pagani, Luca; Scott, Paul.

Advanced Mathematical and Computational Tools in Metrology and Testing XI. ed. / Franco Pavese; Markus Baer; Jean-Remy Filtz; Alistair B. Forbes; Leslie Pendrill; Kastsuhiro Shirono. Vol. 89 World Scientific Publishing Co. Pte Ltd, 2018. p. 48-57 (Advances in Mathematics and Applied Sciences; Vol. 89).

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

TY - GEN

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AU - Pagani, Luca

AU - Scott, Paul

PY - 2018/12/16

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N2 - 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.

AB - 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.

U2 - 10.1142/9789813274303_0005

DO - 10.1142/9789813274303_0005

M3 - Conference contribution

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VL - 89

T3 - Advances in Mathematics and Applied Sciences

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BT - Advanced Mathematical and Computational Tools in Metrology and Testing XI

A2 - Pavese, Franco

A2 - Baer, Markus

A2 - Filtz, Jean-Remy

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