A new mathematical model for mapping indoor environment
This paper presents a mathematical model as a new approach to object mapping, the system is proscribed to indoor and applied to approach a landmark. The contribution of this paper is to propose a new mathematical model for object mapping, the landmark is captured at varying distant points, the Scale...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute of Research Engineers and Doctors
2013
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/28731/ http://psasir.upm.edu.my/id/eprint/28731/1/A%20new%20mathematical%20model%20for%20mapping%20indoor%20environment.pdf |
| _version_ | 1848846197535539200 |
|---|---|
| author | Sai'd, Yunusa Ali Ramli, Abdul Rahman Ahmad, Siti Anom Toudeshki, Arash Moshayedi, Ata Jahangir |
| author_facet | Sai'd, Yunusa Ali Ramli, Abdul Rahman Ahmad, Siti Anom Toudeshki, Arash Moshayedi, Ata Jahangir |
| author_sort | Sai'd, Yunusa Ali |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper presents a mathematical model as a new approach to object mapping, the system is proscribed to indoor and applied to approach a landmark. The contribution of this paper is to propose a new mathematical model for object mapping, the landmark is captured at varying distant points, the Scale invariant Feature Transform (SIFT) to extract object options, at the side of their uncertainty, from camera sensors. The (SIFT) features are invariant to image scaling, translation, and rotation, and partially invariant to illumination changes and affine or 3D projection, which is suitable for our application. As image options do not seem to be noise-free, the error analysis of the landmark positions and a preprocessing to obtained information which is incorporated into a model, using curve fitting techniques. Predictions createdby our model square measure well and correlate with experimental knowledge. This has eliminated correspondence Problem also known as a data association problem. |
| first_indexed | 2025-11-15T08:58:53Z |
| format | Article |
| id | upm-28731 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:58:53Z |
| publishDate | 2013 |
| publisher | Institute of Research Engineers and Doctors |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-287312016-02-17T01:48:23Z http://psasir.upm.edu.my/id/eprint/28731/ A new mathematical model for mapping indoor environment Sai'd, Yunusa Ali Ramli, Abdul Rahman Ahmad, Siti Anom Toudeshki, Arash Moshayedi, Ata Jahangir This paper presents a mathematical model as a new approach to object mapping, the system is proscribed to indoor and applied to approach a landmark. The contribution of this paper is to propose a new mathematical model for object mapping, the landmark is captured at varying distant points, the Scale invariant Feature Transform (SIFT) to extract object options, at the side of their uncertainty, from camera sensors. The (SIFT) features are invariant to image scaling, translation, and rotation, and partially invariant to illumination changes and affine or 3D projection, which is suitable for our application. As image options do not seem to be noise-free, the error analysis of the landmark positions and a preprocessing to obtained information which is incorporated into a model, using curve fitting techniques. Predictions createdby our model square measure well and correlate with experimental knowledge. This has eliminated correspondence Problem also known as a data association problem. Institute of Research Engineers and Doctors 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/28731/1/A%20new%20mathematical%20model%20for%20mapping%20indoor%20environment.pdf Sai'd, Yunusa Ali and Ramli, Abdul Rahman and Ahmad, Siti Anom and Toudeshki, Arash and Moshayedi, Ata Jahangir (2013) A new mathematical model for mapping indoor environment. International Journal of Advancements in Mechanical and Aeronautical Engineering, 1 (1). pp. 36-39. ISSN 2372-4153 |
| spellingShingle | Sai'd, Yunusa Ali Ramli, Abdul Rahman Ahmad, Siti Anom Toudeshki, Arash Moshayedi, Ata Jahangir A new mathematical model for mapping indoor environment |
| title | A new mathematical model for mapping indoor environment |
| title_full | A new mathematical model for mapping indoor environment |
| title_fullStr | A new mathematical model for mapping indoor environment |
| title_full_unstemmed | A new mathematical model for mapping indoor environment |
| title_short | A new mathematical model for mapping indoor environment |
| title_sort | new mathematical model for mapping indoor environment |
| url | http://psasir.upm.edu.my/id/eprint/28731/ http://psasir.upm.edu.my/id/eprint/28731/1/A%20new%20mathematical%20model%20for%20mapping%20indoor%20environment.pdf |