4.7 Article

Fixed Viewpoint Mirror Surface Reconstruction Under an Uncalibrated Camera

期刊

IEEE TRANSACTIONS ON IMAGE PROCESSING
卷 30, 期 -, 页码 2141-2154

出版社

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIP.2021.3049946

关键词

Mirrors; Surface reconstruction; Cameras; Image reconstruction; Three-dimensional displays; Shape; Closed-form solutions; Mirror surface; reconstruction; reflection; light path

资金

  1. Research Grant Council of the Hong Kong (SAR), China [HKU 17203119]
  2. Australian Research Council (ARC) [DE180100628]
  3. Australian Research Council [DE180100628] Funding Source: Australian Research Council

向作者/读者索取更多资源

This paper proposes a method based on observing the reflections of a moving reference plane on the mirror surface, which 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. Experimental results demonstrate the feasibility and accuracy of this method.
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.

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