Camera calibration with enclosing ellipses by an extended application of generalized eigenvalue decomposition
Conics-based calibration has been widely inves- tigated in the past several years. The primary method is to utilize the generalized eigenvalue decomposition (GED) of conics. In this paper, we extend the GED method to deal with a general case: two enclosing ellipses. We construct a link between enclo...
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| Veröffentlicht in: | Machine vision and applications 2013-04, Vol.24 (3), p.513-520 |
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| container_title | Machine vision and applications |
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| creator | Cai, Shen Zhao, Zijian Huang, Longxiang Liu, Yuncai |
| description | Conics-based calibration has been widely inves- tigated in the past several years. The primary method is to utilize the generalized eigenvalue decomposition (GED) of conics. In this paper, we extend the GED method to deal with a general case: two enclosing ellipses. We construct a link between enclosing ellipses and confocal conics. The homography is, thus, decomposed to three components, each of which corresponds to a clear geometrical meaning. Other general conics cases including separate case, intersecting case and hyperbolas case are also discussed. Experiments with simulated and real data demonstrate the good performance of our camera calibration algorithms. |
| doi_str_mv | 10.1007/s00138-012-0446-0 |
| format | Article |
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The primary method is to utilize the generalized eigenvalue decomposition (GED) of conics. In this paper, we extend the GED method to deal with a general case: two enclosing ellipses. We construct a link between enclosing ellipses and confocal conics. The homography is, thus, decomposed to three components, each of which corresponds to a clear geometrical meaning. Other general conics cases including separate case, intersecting case and hyperbolas case are also discussed. Experiments with simulated and real data demonstrate the good performance of our camera calibration algorithms.</description><identifier>ISSN: 0932-8092</identifier><identifier>EISSN: 1432-1769</identifier><identifier>DOI: 10.1007/s00138-012-0446-0</identifier><identifier>CODEN: MVAPEO</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>Algorithms ; Applied sciences ; Artificial intelligence ; Calibration ; Cameras ; Communications Engineering ; Computer Science ; Computer science; control theory; systems ; Computer simulation ; Confocal ; Conics ; Decomposition ; Eigenvalues ; Ellipses ; Exact sciences and technology ; Hyperbolas ; Image Processing and Computer Vision ; Machine vision ; Networks ; Original Paper ; Pattern Recognition ; Pattern recognition. Digital image processing. 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The primary method is to utilize the generalized eigenvalue decomposition (GED) of conics. In this paper, we extend the GED method to deal with a general case: two enclosing ellipses. We construct a link between enclosing ellipses and confocal conics. The homography is, thus, decomposed to three components, each of which corresponds to a clear geometrical meaning. Other general conics cases including separate case, intersecting case and hyperbolas case are also discussed. Experiments with simulated and real data demonstrate the good performance of our camera calibration algorithms.</description><subject>Algorithms</subject><subject>Applied sciences</subject><subject>Artificial intelligence</subject><subject>Calibration</subject><subject>Cameras</subject><subject>Communications Engineering</subject><subject>Computer Science</subject><subject>Computer science; control theory; systems</subject><subject>Computer simulation</subject><subject>Confocal</subject><subject>Conics</subject><subject>Decomposition</subject><subject>Eigenvalues</subject><subject>Ellipses</subject><subject>Exact sciences and technology</subject><subject>Hyperbolas</subject><subject>Image Processing and Computer Vision</subject><subject>Machine vision</subject><subject>Networks</subject><subject>Original Paper</subject><subject>Pattern Recognition</subject><subject>Pattern recognition. Digital image processing. 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| ispartof | Machine vision and applications, 2013-04, Vol.24 (3), p.513-520 |
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| subjects | Algorithms Applied sciences Artificial intelligence Calibration Cameras Communications Engineering Computer Science Computer science control theory systems Computer simulation Confocal Conics Decomposition Eigenvalues Ellipses Exact sciences and technology Hyperbolas Image Processing and Computer Vision Machine vision Networks Original Paper Pattern Recognition Pattern recognition. Digital image processing. Computational geometry Vision systems |
| title | Camera calibration with enclosing ellipses by an extended application of generalized eigenvalue decomposition |
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