Analytical Analysis of Motion Separability
Motion segmentation is an important task in computer vision and several practical approaches have already been developed. A common approach to motion segmentation is to use the optical flow and formulate the segmentation problem using a linear approximation of the brightness constancy constraints. A...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/878417 |
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| author | Marjan Hadian Jazi Alireza Bab-Hadiashar Reza Hoseinnezhad |
| author_facet | Marjan Hadian Jazi Alireza Bab-Hadiashar Reza Hoseinnezhad |
| author_sort | Marjan Hadian Jazi |
| collection | DOAJ |
| description | Motion segmentation is an important task in computer vision and several practical approaches have already been developed. A common approach to motion segmentation is to use the optical flow and formulate the segmentation problem using a linear approximation of the brightness constancy constraints. Although there are numerous solutions to solve this problem and their accuracies and reliabilities have been studied, the exact definition of the segmentation problem, its theoretical feasibility and the conditions for successful motion segmentation are yet to be derived. This paper presents a simplified theoretical framework for the prediction of feasibility, of segmentation of a two-dimensional linear equation system. A statistical definition of a separable motion (structure) is presented and a relatively straightforward criterion for predicting the separability of two different motions in this framework is derived. The applicability of the proposed criterion for prediction of the existence of multiple motions in practice is examined using both synthetic and real image sequences. The prescribed separability criterion is useful in designing computer vision applications as it is solely based on the amount of relative motion and the scale of measurement noise. |
| format | Article |
| id | doaj-art-74260bdb610644479c84830cc71e1f6b |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-74260bdb610644479c84830cc71e1f6b2025-02-03T06:12:40ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/878417878417Analytical Analysis of Motion SeparabilityMarjan Hadian Jazi0Alireza Bab-Hadiashar1Reza Hoseinnezhad2School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, Corner of Plenty Road and McKimmies Road, Bundoora, Victoria 3083, AustraliaSchool of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, Corner of Plenty Road and McKimmies Road, Bundoora, Victoria 3083, AustraliaSchool of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, Corner of Plenty Road and McKimmies Road, Bundoora, Victoria 3083, AustraliaMotion segmentation is an important task in computer vision and several practical approaches have already been developed. A common approach to motion segmentation is to use the optical flow and formulate the segmentation problem using a linear approximation of the brightness constancy constraints. Although there are numerous solutions to solve this problem and their accuracies and reliabilities have been studied, the exact definition of the segmentation problem, its theoretical feasibility and the conditions for successful motion segmentation are yet to be derived. This paper presents a simplified theoretical framework for the prediction of feasibility, of segmentation of a two-dimensional linear equation system. A statistical definition of a separable motion (structure) is presented and a relatively straightforward criterion for predicting the separability of two different motions in this framework is derived. The applicability of the proposed criterion for prediction of the existence of multiple motions in practice is examined using both synthetic and real image sequences. The prescribed separability criterion is useful in designing computer vision applications as it is solely based on the amount of relative motion and the scale of measurement noise.http://dx.doi.org/10.1155/2013/878417 |
| spellingShingle | Marjan Hadian Jazi Alireza Bab-Hadiashar Reza Hoseinnezhad Analytical Analysis of Motion Separability The Scientific World Journal |
| title | Analytical Analysis of Motion Separability |
| title_full | Analytical Analysis of Motion Separability |
| title_fullStr | Analytical Analysis of Motion Separability |
| title_full_unstemmed | Analytical Analysis of Motion Separability |
| title_short | Analytical Analysis of Motion Separability |
| title_sort | analytical analysis of motion separability |
| url | http://dx.doi.org/10.1155/2013/878417 |
| work_keys_str_mv | AT marjanhadianjazi analyticalanalysisofmotionseparability AT alirezababhadiashar analyticalanalysisofmotionseparability AT rezahoseinnezhad analyticalanalysisofmotionseparability |