Article ID Journal Published Year Pages File Type
527916 Computer Vision and Image Understanding 2009 12 Pages PDF
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 xjxj is followed by an image xj+1xj+1. We represent the relationship between images by a cyclic group as xj+1=Gxjxj+1=Gxj, 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.

Related Topics
Physical Sciences and Engineering Computer Science Computer Vision and Pattern Recognition
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