Title
OK-Quantization theory and its relationship to sampling theorem
Abstract
OK-Quantization Theory for the digitization in value ensures the reconstructivity 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 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
10.1007/11612704_48
ACCV
Keywords
Field
DocType
probabilistic density function,gray level,sampling theorem,necessary analytical relationship,ok-quantization theory,equivalence relationship,experimental demonstration,lebesgue integral
Applied mathematics,Equivalence (measure theory),Artificial intelligence,Nyquist–Shannon sampling theorem,Probabilistic logic,Pattern recognition,Riemann hypothesis,Sampling (statistics),Quantization (signal processing),Probability density function,Calculus,Mathematics,Lebesgue integration
Conference
Volume
ISSN
ISBN
3852
0302-9743
3-540-31244-7
Citations 
PageRank 
References 
2
0.91
0
Authors
4
Name
Order
Citations
PageRank
Yuji Tanaka120.91
Takayuki Fujiwara25114.13
Hiroyasu Koshimizu310031.83
Taizo Iijima444.68