Estimation of the Number of True Gray Levels, Their Values, and Relative Frequencies in a Noisy Image
作者:
Fred Godtliebsen,
Chih-Kang Chu,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1995)
卷期:
Volume 90,
issue 431
页码: 890-899
ISSN:0162-1459
年代: 1995
DOI:10.1080/01621459.1995.10476588
出版商: Taylor & Francis Group
关键词: Kernel density estimation;Magnetic resonance image;Simulation study;Strong convergence rate
数据来源: Taylor
摘要:
In some applications information is presented as a two-dimensional image corrupted by random noise. Due to the precision of the equipment that forms the image, we can typically have a large number,v, of observed gray levels. But in many situations we know that the number of true gray levels,p, corresponding to, for example, the number of tissue types in a brain slice, is much less thanv. In this article we propose a method based on the kernel density estimator for estimating thepunderlying true gray levels and their relative frequencies. The strong convergence rates for estimators of these quantities are established. The method is successfully applied to artificial and magnetic resonance images.
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