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Comments on "optimal approximation of uniformly rotated images: relationship between Karhumen-Loeve expansion and discrete cosine transform"

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1 Author(s)
Rae-Hong Park ; Dept. of Electron. Eng., Sogang Univ., Seoul, South Korea

This paper points out the incorrect expressions of Uenohara and Kanade (see ibid., vol.7, p.116-19, 1998), in the context of the representation of the eigenvectors based on the discrete cosine transform (DCT). With the repeated eigenvalues, the eigenvector matrix of the P/spl times/P real symmetric circulant matrix can be constructed using the singular value decomposition (SVD), where P denotes the number of uniformly rotated images. Or equivalently it can be formulated in terms of the discrete Hartley transform (DHT). An example with P=4 is presented to show the correctness of our analysis.

Published in:

IEEE Transactions on Image Processing  (Volume:11 ,  Issue: 3 )