Optimal Approximation of Uniformly Rotated Images: Relationship Between Karhunen-Loeve Expansion and Discrete Cosine Transform

Michihiro Uenohara and Takeo Kanade
IEEE Transactions on Image Processing, Vol. 7, No. 1, January, 1998, pp. 116 - 119.


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Abstract
We present the concept that for uniformly rotated images, the optimal approximation of the images can be obtained by computing the basis vectors for the discrete cosine transform (DCT) of the original image in polar coordinates, and that the images can be represented as linear combinations of the basis vectors.

Notes

Text Reference
Michihiro Uenohara and Takeo Kanade, "Optimal Approximation of Uniformly Rotated Images: Relationship Between Karhunen-Loeve Expansion and Discrete Cosine Transform," IEEE Transactions on Image Processing, Vol. 7, No. 1, January, 1998, pp. 116 - 119.

BibTeX Reference
@article{Uenohara_1998_928,
   author = "Michihiro Uenohara and Takeo Kanade",
   title = "Optimal Approximation of Uniformly Rotated Images: Relationship Between Karhunen-Loeve Expansion and Discrete Cosine Transform",
   journal = "IEEE Transactions on Image Processing",
   pages = "116 - 119",
   month = "January",
   year = "1998",
   volume = "7",
   number = "1",
}