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This dissertation, 3D Metric Reconstruction From Uncalibrated Circular Motion Image Sequences by Huang, Zhong, 鐘煌, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract of thesis entitled 3D Metric Reconstruction from Uncalibrated Circular Motion Image Sequences submitted by Zhong Huang for the degree of Doctor of Philosophy at The University of Hong Kong May 2006 Circular motion is a practical motion for model acquisition. This thesis addresses the problem of metric reconstruction from uncalibrated circular motion image sequences from both the theoretical and practical viewpoints. The cameras are assumed to have constant intrinsic parameters, but the actual camera motion need not be known. A stratified geometric approach is taken to devise solutions. Algorithms for motion estimation, metric reconstruction and surface extraction are developed, by which an object model can be reconstructed systematically. First, a reconstruction method for circular motion is developed with the aim of estimating the unknown rotation angles of the camera robustly. This is achieved by enforcing the knowledge of the type of motion (i.e. the rotational motion constraint) in a factorization-based projective reconstruction, yielding what is called a circular projective reconstruction. Furthermore, a three-stage reconstruction approach with image points incrementally added in different stages of reconstructions is presented for computing a circular projective reconstruction from a long circular motion image sequence. This approach can cope with the missing data problem which inherently exists in a long image sequence. Second, the problem of computing a metric reconstruction from a circular projective reconstruction is considered. Two camera calibration methods are II proposed for resolving the metric reconstruction ambiguity in a circular projective reconstruction by exploring available calibration constraints. The methods are based on a new decomposition of a rectifying homography and developed for the cases involving one circular motion image sequence or one circular motion image sequence with one additional image. Finally, a fast model reconstruction method is proposed to extract the surface of an object from a calibrated circular motion image sequence. It is shown that 3D rim curves with known order enclosing the object can be reconstructed by means of the object silhouettes and feature points. These ordered rim curves allow a triangulated surface mesh of the object model to be constructed efficiently. Throughout the thesis, experimental results are given to demonstrate the performance of the proposed algorithms, and these results are shown to be both accurate and stable. III DOI: 10.5353/th_b3704379 Subjects: Three-dimensional imagingImage reconstructionCameras - CalibrationAlgorithms

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