Title :
Optimal approximation of uniformly rotated images: relationship between Karhunen-Loeve expansion and discrete cosine transform
Author :
Uenohara, Michihiro ; Kanade, Takeo
Author_Institution :
Res. & Dev. Center, Toshiba Corp., Kawasaki, Japan
fDate :
1/1/1998 12:00:00 AM
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
Keywords :
approximation theory; discrete cosine transforms; eigenvalues and eigenfunctions; image representation; optimisation; transforms; DCT; Karhunen-Loeve expansion; basis vectors; discrete cosine transform; eigenvectors; image representation; optimal approximation; polar coordinates; uniformly rotated images; Computer vision; Convolution; Covariance matrix; Discrete cosine transforms; Information filtering; Information filters; Kernel; Pattern matching; Symmetric matrices; Vectors;
Journal_Title :
Image Processing, IEEE Transactions on
