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    The spatial relationship of DCT coefficients between a block and its sub-blocks.

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    Publication date
    2002
    Author
    Jiang, Jianmin
    Feng, G.C.
    Keyword
    Algorithm
    Feature extraction
    Discrete cosine transforms
    Data compression
    Digital processing
    Image processing
    Signal processing
    Peer-Reviewed
    Yes
    
    Metadata
    Show full item record
    Abstract
    At present, almost all digital images are stored and transferred in their compressed format in which discrete cosine transform (DCT)-based compression remains one of the most important data compression techniques due to the efforts from JPEG. In order to save the computation and memory cost, it is desirable to have image processing operations such as feature extraction, image indexing, and pattern classifications implemented directly in the DCT domain. To this end, we present in this paper a generalized analysis of spatial relationships between the DCTs of any block and its sub-blocks. The results reveal that DCT coefficients of any block can be directly obtained from the DCT coefficients of its sub-blocks and that the interblock relationship remains linear. It is useful in extracting global features in compressed domain for general image processing tasks such as those widely used in pyramid algorithms and image indexing. In addition, due to the fact that the corresponding coefficient matrix of the linear combination is sparse, the computational complexity of the proposed algorithms is significantly lower than that of the existing methods.
    URI
    http://hdl.handle.net/10454/3446
    Version
    No full-text available in the repository
    Citation
    Jiang, J. and Feng, G.C. (2002). The spatial relationship of DCT coefficients between a block and its sub-blocks. IEEE Transactions on Signal Processing. Vol. 50, No. 5, pp. 1160-1169.
    Link to publisher’s version
    http://dx.doi.org/10.1109/78.995072
    Type
    Article
    Collections
    Engineering and Digital Technology Publications

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