The fundamental matrix: Theory, algorithms, and stability analysis
The geometry of a pair of cameras, i.e., a stereo rig, is analyzed in detail. The projective nature of the correspondence problem in stereo is clarified and the epipolar geometry is summarized in one 3x3 matrix of rank 2 which is called the Fundamental matrix. The Fundamental matrix is then estimate...
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| Published in | International journal of computer vision Vol. 17; no. 1; pp. 43 - 75 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Springer
01.01.1996
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0920-5691 1573-1405 |
| DOI | 10.1007/BF00127818 |
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| Abstract | The geometry of a pair of cameras, i.e., a stereo rig, is analyzed in detail. The projective nature of the correspondence problem in stereo is clarified and the epipolar geometry is summarized in one 3x3 matrix of rank 2 which is called the Fundamental matrix. The Fundamental matrix is then estimated from point correspondences. Several methods of estimation are analyzed theoretically and compared using synthetic and real data. The importance of the Fundamental matrix in future applications of three-dimensional Computer Vision is also emphasized. |
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| AbstractList | The geometry of a pair of cameras, i.e., a stereo rig, is analyzed in detail. The projective nature of the correspondence problem in stereo is clarified and the epipolar geometry is summarized in one 3x3 matrix of rank 2 which is called the Fundamental matrix. The Fundamental matrix is then estimated from point correspondences. Several methods of estimation are analyzed theoretically and compared using synthetic and real data. The importance of the Fundamental matrix in future applications of three-dimensional Computer Vision is also emphasized. |
| Author | Luong, Quan-Tuan Faugeras, Olivier D. |
| Author_xml | – sequence: 1 givenname: Quan-Tuan surname: Luong fullname: Luong, Quan-Tuan – sequence: 2 givenname: Olivier D. surname: Faugeras fullname: Faugeras, Olivier D. |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=3019705$$DView record in Pascal Francis |
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| Keywords | Motion Computer vision 3D imaging Stability Image processing Theory Projective identification |
| Language | English |
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| SubjectTerms | Applied sciences Artificial intelligence Computer science; control theory; systems Exact sciences and technology Pattern recognition. Digital image processing. Computational geometry |
| Title | The fundamental matrix: Theory, algorithms, and stability analysis |
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