The object of this thesis is to examine properties of an abstract vector space of finite dimension n. The properties of the set of complex numbers are assumed, and the definition of a field and of an abelian group are not stated, although reference to these systems is made.

Thesis--Göttingen. / Vita. Includes bibliographical references (p. 53-54).

The vector quantization (VQ) technique uses a codebook containing block patterns with corresponding index on each of them. In this thesis, we simple TSP (traveling salesperson) scheme in the VQ (vector quantization) index compression. The goal of this method is to improve bit ratio scheme with the same image quality. We apply the TSP (traveling salesperson) scheme to reorder the codewords in the codebook such that the di erence between the indexes in neighboring blocks of the image becomes small. Then, the block indexes in the image are remapped according to the reordered codebook. Thus, the variation between two neighboring block indexes is reduced. Finally, we compress the block indexes of the image with some lossless compression methods. Adding our TSP scheme as a step in VQ (vector quantization) index compression really achieves signi cant reducxtion of bit rates. Our experiment results show that the bpp (bits per pixel) in our method is less than the bpp of those without the TSP scheme.

Thesis (Ph. D.)--University of Washington, 2007. / Vita. Includes bibliographical references (p. 63-65).

Diss. Stockholm : Handelshögsk.

Thesis--Faculté des sciences de Bordeaux, 1892.

These--Universit́e de Paris.

These--Universit́e de Paris.

Thesis--Faculté des sciences de Bordeaux, 1892.

Thesis (Ph. D.)--University of Wisconsin, 1965. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliography.