A Theoretical and Experimental Consideration on Interference in Resolutions between Sampling Theorem and OK-Quantization Theory

Author

Tanaka, Yuji ; Fujiwara, Takayuki ; Koshimizu, Hiroyasu ; Iijima, Taizo

Author_Institution

Chukyo Univ.

Volume

3

fYear

0

fDate

0-0 0

Firstpage

869

Lastpage

872

Abstract

OK-quantization theory for the digitization in value ensures the reconstruction of the probabilistic density function of the image. This paper shows some experimental demonstrations to reduce the number of the gray levels, and shows mainly that there is a necessary but very important analytical relationship between sampling and quantization based on the equivalence relationship between two kinds of the integral, Riemann and Lebesgue integrals for calculating the volume of the image. Experimental demonstrations are also shown in this paper

Keywords

image coding; image reconstruction; image resolution; image sampling; integral equations; probability; Lebesgue integrals; OK-quantization theory; Riemann integrals; image quantization; image sampling; probabilistic density function; resolution interference; sampling theorem; Cutoff frequency; Density functional theory; Fourier transforms; Image reconstruction; Image resolution; Image sampling; Interference; Probability density function; Quantization; Sampling methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Pattern Recognition, 2006. ICPR 2006. 18th International Conference on

Conference_Location

Hong Kong

ISSN

1051-4651

Print_ISBN

0-7695-2521-0

Type

conf

DOI

10.1109/ICPR.2006.185

Filename

1699663