Representing images of a rotating object with cyclic permutation for view-based pose estimation

Authors:
Toru Tamaki;Toshiyuki Amano;Kazufumi Kaneda
Affiliations:
Department of Information Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-hiroshima, Hiroshima 739-8527, Japan;Graduate School of Information Science, NAIST, 8916-5 Takayama, Ikoma, Nara 630-0192, Japan;Department of Information Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-hiroshima, Hiroshima 739-8527, Japan
Venue:
Computer Vision and Image Understanding
Year:
2009

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Abstract

In this paper, we propose a novel approach using a cyclic group to model the appearance change in an image sequence of an object rotated about an arbitrary axis (1DOF out-of-plane rotation). In the sequence, an image x"j is followed by an image x"j"+"1. We represent the relationship between images by a cyclic group as x"j"+"1=Gx"j, and obtain the matrix G by real block diagonalization. Then, G to the power of a real number is used to represent the image sequence and also for pose estimation. Two estimation methods are proposed and evaluated with real image sequences from the COIL-20, COIL-100, and ALOI datasets, and also compared to the Parametric Eigenspace method. Additionally, we discuss the relationship of the proposed approach to the pixel-wise Discrete Fourier Transform (DFT) and to linear regression, and also outline several extensions.