Fitting a Sphere via Gröbner Basis
© 2018, Springer International Publishing AG, part of Springer Nature. In indoor and outdoor navigation, finding the local position of a sphere in mapping space employing a laser scanning technique with low-cost sensors is a very challenging and daunting task. In this contribution, we illustrate how...
| Main Authors: | , , |
|---|---|
| Format: | Conference Paper |
| Published: |
2018
|
| Online Access: | http://hdl.handle.net/20.500.11937/70245 |
| _version_ | 1848762253930659840 |
|---|---|
| author | Lewis, R. Paláncz, B. Awange, Joseph |
| author_facet | Lewis, R. Paláncz, B. Awange, Joseph |
| author_sort | Lewis, R. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2018, Springer International Publishing AG, part of Springer Nature. In indoor and outdoor navigation, finding the local position of a sphere in mapping space employing a laser scanning technique with low-cost sensors is a very challenging and daunting task. In this contribution, we illustrate how Gröbner basis techniques can be used to solve polynomial equations arising when algebraic and geometric measures for the error are used. The effectiveness of the suggested method is demonstrated, thanks to standard CAS software like Mathematica, using numerical examples of the real world. |
| first_indexed | 2025-11-14T10:44:38Z |
| format | Conference Paper |
| id | curtin-20.500.11937-70245 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:44:38Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-702452018-08-08T04:56:27Z Fitting a Sphere via Gröbner Basis Lewis, R. Paláncz, B. Awange, Joseph © 2018, Springer International Publishing AG, part of Springer Nature. In indoor and outdoor navigation, finding the local position of a sphere in mapping space employing a laser scanning technique with low-cost sensors is a very challenging and daunting task. In this contribution, we illustrate how Gröbner basis techniques can be used to solve polynomial equations arising when algebraic and geometric measures for the error are used. The effectiveness of the suggested method is demonstrated, thanks to standard CAS software like Mathematica, using numerical examples of the real world. 2018 Conference Paper http://hdl.handle.net/20.500.11937/70245 10.1007/978-3-319-96418-8_38 restricted |
| spellingShingle | Lewis, R. Paláncz, B. Awange, Joseph Fitting a Sphere via Gröbner Basis |
| title | Fitting a Sphere via Gröbner Basis |
| title_full | Fitting a Sphere via Gröbner Basis |
| title_fullStr | Fitting a Sphere via Gröbner Basis |
| title_full_unstemmed | Fitting a Sphere via Gröbner Basis |
| title_short | Fitting a Sphere via Gröbner Basis |
| title_sort | fitting a sphere via gröbner basis |
| url | http://hdl.handle.net/20.500.11937/70245 |