Paper
1 July 1990 Ranking in Rp and its use in multivariate image estimation
Russell C. Hardie, Gonzalo R. Arce
Author Affiliations +
Proceedings Volume 1247, Nonlinear Image Processing; (1990) https://doi.org/10.1117/12.19593
Event: Electronic Imaging: Advanced Devices and Systems, 1990, Santa Clara, CA, United States
Abstract
In this paper, we consider the extension of ranking a set of elements in R to ranking a set of vectors in a p'th dimensional space Rp. In the approach presented here vector ranking reduces to ordering vectors according to a sorted list of vector distances. A statistical analysis of this vector ranking is presented, and these vector ranking concepts are then used to develop ranked-order type estimators for multivariate image fields. We develop a class of vector filters which are efficient smoothers in additive noise and can be designed to have detail-preserving characteristics. A statistical analysis is developed for the class of filters and a number of simulations were performed in order to quantitatively evaluate their performance. These simulations involve the estimation of both stationary multivariate random signals and color images in additive noise.
© (1990) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Russell C. Hardie and Gonzalo R. Arce "Ranking in Rp and its use in multivariate image estimation", Proc. SPIE 1247, Nonlinear Image Processing, (1 July 1990); https://doi.org/10.1117/12.19593
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Cited by 17 scholarly publications.
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KEYWORDS
Statistical analysis

Distance measurement

Nonlinear image processing

Image analysis

Image filtering

Interference (communication)

Digital filtering

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