Resolving Images In Multiple Transform Domains With Applications

    Authors

    W. B. Mikhael;A. Ramaswamy

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Digit. Signal Prog.

    Keywords

    Engineering, Electrical & Electronic

    Abstract

    A technique is presented to represent images employing two or more mutually non-orthogonal transforms. First, the image is divided into smaller non-overlapping subimages. Then, each subimage is resolved into two-dimensional subsignals such that each subsignal is compactly represented in a particular transform domain. This leads to an efficient representation of the subimage by superimposing the dominant coefficients corresponding to each subsignal. The residual error, which is the difference between the original subimage and the reconstructed subimage, is properly formulated. Adaptive algorithms in conjunction with an optimization strategy are developed to minimize this error. Finally, results are presented where first the feasibility of the method is established through a synthetic image example and then applications to compactly represent test images are presented. The number of transform coefficients is reduced by a factor ranging from 5 to 40. It is verified that, for a given coefficient reduction factor, the direct cosine transform (DCT)-Haar representation of test images yields a more compact representation than using DCT or Haar alone. It is shown that the DCT-Haar combination offers a reduction of up to 15.0 to 17.0% in the root mean square error as compared to the DCT alone. (C) 1995 Academic Press, Inc.

    Journal Title

    Digital Signal Processing

    Volume

    5

    Issue/Number

    2

    Publication Date

    1-12-1995

    Document Type

    Article

    Language

    English

    First Page

    81

    Last Page

    90

    WOS Identifier

    WOS:A1995QX72300002

    ISSN

    1051-2004

    Share

    COinS