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Determining cylinder pairs from point clouds

Moelker, R.R. (2014) Determining cylinder pairs from point clouds. Master's Thesis / Essay, Computing Science.

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Abstract

We consider the following problem. Given a set P of N points in 3D. We aim to find the pair of coaxial cylinders, with the property that one cylinder encloses P and the other is inscribed in P, and with the property that the difference between the radii of these cylinders, called cylindricity, is minimal. This research is done in cooperation with the company Schut Geometrical Metrology, manufacturing coordinate measuring machines primarily for use in metrology. A point set P results from measuring a part. Based on the cylindricity of P the part is accepted or rejected. This research has two distinct goals. First we consider the problem of determining the cylinder pair from the minimal number of points. Using this result, in the second part the cylindricity of P is determined, where P consists of more than the minimal number of points. Solving sets of polynomial equations is an essential part of the first part. An important condition for the software resulting from this project is that it should not depend on any external commercial libraries or software.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Computing Science
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 07:57
Last Modified: 15 Feb 2018 07:57
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/11720

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