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Generation of a Geodetic Line on Any Given Surface

Authors:
Anna von Pestalozza
Stefan Weichert
Arash Ramezani
Hendrik Rothe

Keywords: Geodetic Line; Surface Analysis; Materials Technology

Abstract:
The calculation of geodetic lines plays an important role in many applications, such as the minimisation of material in manufacturing processes. Many manufacturing steps, such as cutting or attaching layers on curved surfaces, suffer from loss of material. In order to minimise wastage of material, geodetic lines can be employed to find a cutting pattern for the given material with minimal distortion. This paper presents an automatable algorithm that numerically calculates geodetic lines on any given surface. The result is evaluated with a practical example by comparing the numerical result and the analytical solution.

Pages: 61 to 66

Copyright: Copyright (c) IARIA, 2018

Publication date: October 14, 2018

Published in: conference

ISSN: 2308-4537

ISBN: 978-1-61208-672-9

Location: Nice, France

Dates: from October 14, 2018 to October 18, 2018