Sparse Approximation for Nonrigid Structure from Motion
This paper introduces applying a novel sparse approximation method into solving nonrigid structure from motion problem in trajectory space. Instead of generating a truncated traditional trajectory basis, this method uses an atom dictionary which includes a set of overcomplete bases to estimate the r...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Robotics |
| Online Access: | http://dx.doi.org/10.1155/2015/435385 |
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| _version_ | 1832556129591230464 |
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| author | Yaming Wang Xiaomeng Yan Junbao Zheng Mingfeng Jiang |
| author_facet | Yaming Wang Xiaomeng Yan Junbao Zheng Mingfeng Jiang |
| author_sort | Yaming Wang |
| collection | DOAJ |
| description | This paper introduces applying a novel sparse approximation method into solving nonrigid structure from motion problem in trajectory space. Instead of generating a truncated traditional trajectory basis, this method uses an atom dictionary which includes a set of overcomplete bases to estimate the real shape of the deformable object. Yet, it still runs reliably and can get an optimal result. On the other hand, it does not need to consider the size of predefined trajectory bases; that is to say, there is no need to truncate the trajectory basis. The mentioned method is very easy to implement and the only trouble which needs to be solved is an L1-regularized least squares problem. This paper not only presents a new thought, but also gives out a simple but effective solution for the nonrigid structure from motion problem. |
| format | Article |
| id | doaj-art-efb7c0facda644858331369a9e510d2c |
| institution | Kabale University |
| issn | 1687-9600 1687-9619 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Robotics |
| spelling | doaj-art-efb7c0facda644858331369a9e510d2c2025-02-03T05:46:18ZengWileyJournal of Robotics1687-96001687-96192015-01-01201510.1155/2015/435385435385Sparse Approximation for Nonrigid Structure from MotionYaming Wang0Xiaomeng Yan1Junbao Zheng2Mingfeng Jiang3School of Information Science and Technology, Zhejiang Sci-Tech University, Hangzhou 310018, ChinaSchool of Information Science and Technology, Zhejiang Sci-Tech University, Hangzhou 310018, ChinaSchool of Information Science and Technology, Zhejiang Sci-Tech University, Hangzhou 310018, ChinaSchool of Information Science and Technology, Zhejiang Sci-Tech University, Hangzhou 310018, ChinaThis paper introduces applying a novel sparse approximation method into solving nonrigid structure from motion problem in trajectory space. Instead of generating a truncated traditional trajectory basis, this method uses an atom dictionary which includes a set of overcomplete bases to estimate the real shape of the deformable object. Yet, it still runs reliably and can get an optimal result. On the other hand, it does not need to consider the size of predefined trajectory bases; that is to say, there is no need to truncate the trajectory basis. The mentioned method is very easy to implement and the only trouble which needs to be solved is an L1-regularized least squares problem. This paper not only presents a new thought, but also gives out a simple but effective solution for the nonrigid structure from motion problem.http://dx.doi.org/10.1155/2015/435385 |
| spellingShingle | Yaming Wang Xiaomeng Yan Junbao Zheng Mingfeng Jiang Sparse Approximation for Nonrigid Structure from Motion Journal of Robotics |
| title | Sparse Approximation for Nonrigid Structure from Motion |
| title_full | Sparse Approximation for Nonrigid Structure from Motion |
| title_fullStr | Sparse Approximation for Nonrigid Structure from Motion |
| title_full_unstemmed | Sparse Approximation for Nonrigid Structure from Motion |
| title_short | Sparse Approximation for Nonrigid Structure from Motion |
| title_sort | sparse approximation for nonrigid structure from motion |
| url | http://dx.doi.org/10.1155/2015/435385 |
| work_keys_str_mv | AT yamingwang sparseapproximationfornonrigidstructurefrommotion AT xiaomengyan sparseapproximationfornonrigidstructurefrommotion AT junbaozheng sparseapproximationfornonrigidstructurefrommotion AT mingfengjiang sparseapproximationfornonrigidstructurefrommotion |