Ranking in Rp and Its Use in Multivariate Image Estimation
IEEE Transactions on Circuits and Systems for Video Technology
The extension of ranking a set of elements in R to ranking a set of vectors in a p'th dimensional space Rp is considered. 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. A class of vector filters is developed, 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.
197 - 209
IEEE: Institute of Electrical and Electronics Engineers
Hardie, Russell C. and Arce, Gonzalo R., "Ranking in Rp and Its Use in Multivariate Image Estimation" (1991). Electrical and Computer Engineering Faculty Publications. 85.