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Updated: Jul 7, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
Published on: August 30, 2013
Comments on "optimal approximation of uniformly rotated images: relationship between Karhumen-Loeve expansion and
1Dept. of Electron. Eng., Sogang Univ., Seoul. rhpark@ccs.sogang.ac.kr
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.
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