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- Publisher Website: 10.1109/TIP.2021.3049946
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- PMID: 33439840
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Article: Fixed Viewpoint Mirror Surface Reconstruction Under an Uncalibrated Camera
Title | Fixed Viewpoint Mirror Surface Reconstruction Under an Uncalibrated Camera |
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Authors | |
Keywords | Mirror surface reconstruction reflection light path |
Issue Date | 2021 |
Publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=83 |
Citation | IEEE Transactions on Image Processing, 2021, v. 30, p. 2141-2154 How to Cite? |
Abstract | This paper addresses the problem of mirror surface reconstruction, and proposes a solution based on observing the reflections of a moving reference plane on the mirror surface. Unlike previous approaches which require tedious calibration, our method can recover the camera intrinsics, the poses of the reference plane, as well as the mirror surface from the observed reflections of the reference plane under at least three unknown distinct poses. We first show that the 3D poses of the reference plane can be estimated from the reflection correspondences established between the images and the reference plane. We then form a bunch of 3D lines from the reflection correspondences, and derive an analytical solution to recover the line projection matrix. We transform the line projection matrix to its equivalent camera projection matrix, and propose a cross-ratio based formulation to optimize the camera projection matrix by minimizing reprojection errors. The mirror surface is then reconstructed based on the optimized cross-ratio constraint. Experimental results on both synthetic and real data are presented, which demonstrate the feasibility and accuracy of our method. |
Persistent Identifier | http://hdl.handle.net/10722/301328 |
ISSN | 2023 Impact Factor: 10.8 2023 SCImago Journal Rankings: 3.556 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Han, K | - |
dc.contributor.author | Liu, M | - |
dc.contributor.author | Schnieders, D | - |
dc.contributor.author | Wong, KYK | - |
dc.date.accessioned | 2021-07-27T08:09:29Z | - |
dc.date.available | 2021-07-27T08:09:29Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | IEEE Transactions on Image Processing, 2021, v. 30, p. 2141-2154 | - |
dc.identifier.issn | 1057-7149 | - |
dc.identifier.uri | http://hdl.handle.net/10722/301328 | - |
dc.description.abstract | This paper addresses the problem of mirror surface reconstruction, and proposes a solution based on observing the reflections of a moving reference plane on the mirror surface. Unlike previous approaches which require tedious calibration, our method can recover the camera intrinsics, the poses of the reference plane, as well as the mirror surface from the observed reflections of the reference plane under at least three unknown distinct poses. We first show that the 3D poses of the reference plane can be estimated from the reflection correspondences established between the images and the reference plane. We then form a bunch of 3D lines from the reflection correspondences, and derive an analytical solution to recover the line projection matrix. We transform the line projection matrix to its equivalent camera projection matrix, and propose a cross-ratio based formulation to optimize the camera projection matrix by minimizing reprojection errors. The mirror surface is then reconstructed based on the optimized cross-ratio constraint. Experimental results on both synthetic and real data are presented, which demonstrate the feasibility and accuracy of our method. | - |
dc.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=83 | - |
dc.relation.ispartof | IEEE Transactions on Image Processing | - |
dc.rights | ©2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | - |
dc.subject | Mirror surface | - |
dc.subject | reconstruction | - |
dc.subject | reflection | - |
dc.subject | light path | - |
dc.title | Fixed Viewpoint Mirror Surface Reconstruction Under an Uncalibrated Camera | - |
dc.type | Article | - |
dc.identifier.email | Schnieders, D: sdirk@cs.hku.hk | - |
dc.identifier.email | Wong, KYK: kykwong@cs.hku.hk | - |
dc.identifier.authority | Schnieders, D=rp01834 | - |
dc.identifier.authority | Wong, KYK=rp01393 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1109/TIP.2021.3049946 | - |
dc.identifier.pmid | 33439840 | - |
dc.identifier.scopus | eid_2-s2.0-85099544118 | - |
dc.identifier.hkuros | 323468 | - |
dc.identifier.volume | 30 | - |
dc.identifier.spage | 2141 | - |
dc.identifier.epage | 2154 | - |
dc.identifier.isi | WOS:000613403600004 | - |
dc.publisher.place | United States | - |