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On the Angular Control of Rotating Lasers by Means of Line Calculus on Hyperboloids
We propose a new paradigm for modelling and calibrating laser scanners with rotation symmetry, as is the case for lidars or for galvanometric laser systems with one or two rotating mirrors. Instead of bothering about the intrinsic parameters of a physical model, we use the geometric properties of th...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10346280/ https://www.ncbi.nlm.nih.gov/pubmed/37447975 http://dx.doi.org/10.3390/s23136126 |
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author | Penne, Rudi De Boi, Ivan Vanlanduit, Steve |
author_facet | Penne, Rudi De Boi, Ivan Vanlanduit, Steve |
author_sort | Penne, Rudi |
collection | PubMed |
description | We propose a new paradigm for modelling and calibrating laser scanners with rotation symmetry, as is the case for lidars or for galvanometric laser systems with one or two rotating mirrors. Instead of bothering about the intrinsic parameters of a physical model, we use the geometric properties of the device to model it as a specific configuration of lines, which can be recovered by a line-data-driven procedure. Compared to universal data-driven methods that train general line models, our algebraic-geometric approach only requires a few measurements. We elaborate the case of a galvanometric laser scanner with two mirrors, that we model as a grid of hyperboloids represented by a grid of [Formula: see text] lines. This provides a new type of look-up table, containing not more than nine elements, lines rather than points, where we replace the approximating interpolation with exact affine combinations of lines. The proposed method is validated in a realistic virtual setting. As a collateral contribution, we present a robust algorithm for fitting ruled surfaces of revolution on noisy line measurements. |
format | Online Article Text |
id | pubmed-10346280 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-103462802023-07-15 On the Angular Control of Rotating Lasers by Means of Line Calculus on Hyperboloids Penne, Rudi De Boi, Ivan Vanlanduit, Steve Sensors (Basel) Article We propose a new paradigm for modelling and calibrating laser scanners with rotation symmetry, as is the case for lidars or for galvanometric laser systems with one or two rotating mirrors. Instead of bothering about the intrinsic parameters of a physical model, we use the geometric properties of the device to model it as a specific configuration of lines, which can be recovered by a line-data-driven procedure. Compared to universal data-driven methods that train general line models, our algebraic-geometric approach only requires a few measurements. We elaborate the case of a galvanometric laser scanner with two mirrors, that we model as a grid of hyperboloids represented by a grid of [Formula: see text] lines. This provides a new type of look-up table, containing not more than nine elements, lines rather than points, where we replace the approximating interpolation with exact affine combinations of lines. The proposed method is validated in a realistic virtual setting. As a collateral contribution, we present a robust algorithm for fitting ruled surfaces of revolution on noisy line measurements. MDPI 2023-07-03 /pmc/articles/PMC10346280/ /pubmed/37447975 http://dx.doi.org/10.3390/s23136126 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Penne, Rudi De Boi, Ivan Vanlanduit, Steve On the Angular Control of Rotating Lasers by Means of Line Calculus on Hyperboloids |
title | On the Angular Control of Rotating Lasers by Means of Line Calculus on Hyperboloids |
title_full | On the Angular Control of Rotating Lasers by Means of Line Calculus on Hyperboloids |
title_fullStr | On the Angular Control of Rotating Lasers by Means of Line Calculus on Hyperboloids |
title_full_unstemmed | On the Angular Control of Rotating Lasers by Means of Line Calculus on Hyperboloids |
title_short | On the Angular Control of Rotating Lasers by Means of Line Calculus on Hyperboloids |
title_sort | on the angular control of rotating lasers by means of line calculus on hyperboloids |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10346280/ https://www.ncbi.nlm.nih.gov/pubmed/37447975 http://dx.doi.org/10.3390/s23136126 |
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