Title
A Theoretical and Experimental Consideration on Interference in Resolutions between Sampling Theorem and OK-Quantization Theory
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.
Year
DOI
Venue
2006
10.1109/ICPR.2006.185
Pattern Recognition, 2006. ICPR 2006. 18th International Conference
Keywords
Field
DocType
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
Mathematical analysis,Equivalence (measure theory),Riemann hypothesis,Sampling (statistics),Quantization (image processing),Nyquist–Shannon sampling theorem,Quantization (signal processing),Probability density function,Mathematics,Lebesgue integration
Conference
Volume
ISSN
ISBN
3
1051-4651
0-7695-2521-0
Citations 
PageRank 
References 
0
0.34
1
Authors
4
Name
Order
Citations
PageRank
Yuji Tanaka100.34
Takayuki Fujiwara25114.13
Hiroyasu Koshimizu310031.83
Taizo Iijima444.68