Title :
The relationship of transform coefficients for differing transforms and/or differing subblock sizes
Author :
Davis, Brynmor J. ; Nawab, S. Hamid
Author_Institution :
Dept. of Electr. & Comput. Eng., Boston Univ., MA, USA
fDate :
5/1/2004 12:00:00 AM
Abstract :
Jiang and Feng have developed a relationship between the discrete cosine transform (DCT) coefficients of a block and those of its subblocks. Their derivation of this result can be significantly simplified. The new derivation also generalizes to all linear, invertible transforms and any separable subblock geometry.
Keywords :
discrete cosine transforms; image processing; matrix algebra; DCT coefficients; discrete cosine transform; separable subblock geometry; separable transform; subblock sizes; transform coefficients relationship; transform domain processing; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Discrete wavelet transforms; Filtering; Geometry; Image processing; Pipeline processing; Pixel; Sufficient conditions;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2004.826165