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IMAGE DATA COMPRESSION AND RECONSTRUCTION BASED ON FREQUENCY DOMAIN CONSIDERATIONS AND PARTIAL DIFFERENTIAL EQUATION MODELS

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dc.creator CHEN, TING-CHUNG CHARLES
dc.date.accessioned 2007-05-09T19:26:36Z
dc.date.available 2007-05-09T19:26:36Z
dc.date.issued 1981
dc.identifier.uri http://hdl.handle.net/1911/15601
dc.description.abstract The image data compression and reconstruction problems are investigated in this dissertation, and new techniques for their solution are presented. Conventional image transform coding techniques are given a spatial domain interpretation. Based on this interpretation, an improvement using a larger transform size and an overlap-and-save scheme is presented for the Fourier transform which possesses simple spatial domain features. Next, spatial domain processing techniques based on frequency domain analysis are discussed. Two-dimensional digital filters are used to implement the compression and reconstruction scheme. McClellan's transformation and two fast approximation schemes are used to preserve the spectral properties of the image. To obtain a low mean-square-error, spatial constraints are added. Finally, a generalized spline interpolation approach based on partial differential equation image models is introduced. It is shown that this deterministic design is congruent to the stochastic minimum-mean-square-error estimation of the images given the decimated samples. Two implementation schemes, the cardinal spline filtering and the locally based B-spline fitting, are presented. The results are compared with the conventional Lagrange, cubic B-spline interpolation and the transform coding techniques. The various developments presented are demonstrated by computer simulations performed on a Genisco graphics display system supported by a PDP-11/55 computer.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subject Engineering, Electronics and Electrical
dc.title IMAGE DATA COMPRESSION AND RECONSTRUCTION BASED ON FREQUENCY DOMAIN CONSIDERATIONS AND PARTIAL DIFFERENTIAL EQUATION MODELS
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Electrical and Computer Engineering
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation CHEN, TING-CHUNG CHARLES. (1981) "IMAGE DATA COMPRESSION AND RECONSTRUCTION BASED ON FREQUENCY DOMAIN CONSIDERATIONS AND PARTIAL DIFFERENTIAL EQUATION MODELS." Doctoral Thesis, Rice University. http://hdl.handle.net/1911/15601.

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