Comments on "optimal approximation of uniformly rotated images: relationship between Karhumen-Loeve expansion and discrete cosine transform".
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- Record sourced from PubMed, PMID 18244635.
- Also identified by DOI 10.1109/83.988965.
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Abstract
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 x 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.