An Exact Formula for Calculating Inverse Radial Lens Distortions
This article presents a new approach to calculating the inverse of radial distortions. The method presented here provides a model of reverse radial distortion, currently modeled by a polynomial expression, that proposes another polynomial expression where the new coefficients are a function of the o...
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| Format: | Article |
| Language: | English |
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MDPI AG
2016-06-01
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| Series: | Sensors |
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| Online Access: | http://www.mdpi.com/1424-8220/16/6/807 |
| _version_ | 1798041225035513856 |
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| author | Pierre Drap Julien Lefèvre |
| author_facet | Pierre Drap Julien Lefèvre |
| author_sort | Pierre Drap |
| collection | DOAJ |
| description | This article presents a new approach to calculating the inverse of radial distortions. The method presented here provides a model of reverse radial distortion, currently modeled by a polynomial expression, that proposes another polynomial expression where the new coefficients are a function of the original ones. After describing the state of the art, the proposed method is developed. It is based on a formal calculus involving a power series used to deduce a recursive formula for the new coefficients. We present several implementations of this method and describe the experiments conducted to assess the validity of the new approach. Such an approach, non-iterative, using another polynomial expression, able to be deduced from the first one, can actually be interesting in terms of performance, reuse of existing software, or bridging between different existing software tools that do not consider distortion from the same point of view. |
| first_indexed | 2024-04-11T22:18:31Z |
| format | Article |
| id | doaj.art-b21f00783848436486d486b1be60df45 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-11T22:18:31Z |
| publishDate | 2016-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-b21f00783848436486d486b1be60df452022-12-22T04:00:18ZengMDPI AGSensors1424-82202016-06-0116680710.3390/s16060807s16060807An Exact Formula for Calculating Inverse Radial Lens DistortionsPierre Drap0Julien Lefèvre1Aix-Marseille Université, CNRS, ENSAM, Université De Toulon, LSIS UMR 7296, Domaine Universitaire de Saint-Jérôme, Bâtiment Polytech, Avenue Escadrille Normandie-Niemen, Marseille 13397, FranceAix-Marseille Université, CNRS, ENSAM, Université De Toulon, LSIS UMR 7296, Domaine Universitaire de Saint-Jérôme, Bâtiment Polytech, Avenue Escadrille Normandie-Niemen, Marseille 13397, FranceThis article presents a new approach to calculating the inverse of radial distortions. The method presented here provides a model of reverse radial distortion, currently modeled by a polynomial expression, that proposes another polynomial expression where the new coefficients are a function of the original ones. After describing the state of the art, the proposed method is developed. It is based on a formal calculus involving a power series used to deduce a recursive formula for the new coefficients. We present several implementations of this method and describe the experiments conducted to assess the validity of the new approach. Such an approach, non-iterative, using another polynomial expression, able to be deduced from the first one, can actually be interesting in terms of performance, reuse of existing software, or bridging between different existing software tools that do not consider distortion from the same point of view.http://www.mdpi.com/1424-8220/16/6/807radial distortiondistortion correctionpower series |
| spellingShingle | Pierre Drap Julien Lefèvre An Exact Formula for Calculating Inverse Radial Lens Distortions Sensors radial distortion distortion correction power series |
| title | An Exact Formula for Calculating Inverse Radial Lens Distortions |
| title_full | An Exact Formula for Calculating Inverse Radial Lens Distortions |
| title_fullStr | An Exact Formula for Calculating Inverse Radial Lens Distortions |
| title_full_unstemmed | An Exact Formula for Calculating Inverse Radial Lens Distortions |
| title_short | An Exact Formula for Calculating Inverse Radial Lens Distortions |
| title_sort | exact formula for calculating inverse radial lens distortions |
| topic | radial distortion distortion correction power series |
| url | http://www.mdpi.com/1424-8220/16/6/807 |
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