Title :
Recursive median filters of increasing order: a variational approach
Author :
Alliney, Stefano
Author_Institution :
Istituto di Matematica Gen. e Finanziaria, Bologna Univ., Italy
fDate :
6/1/1996 12:00:00 AM
Abstract :
For a certain class of signals, it is known that the recursive median filters provide a minimum of a related regularizing functional, defined by means of the l1 norm. We generalize such results, and we show that a good approximation to the minima of such a functional can be obtained, for any signal, by means of successive applications of recursive median filters of increasing order
Keywords :
filtering theory; function approximation; median filters; minimisation; recursive filters; signal processing; variational techniques; approximation; functional minima; l1 norm; recursive median filters; regularizing functional; signal processing; variational approach; Books; Calculus; Filters; Frequency locked loops; Gaussian approximation; Gaussian distribution; Least squares approximation; Least squares methods; Mathematical model; Signal analysis;
Journal_Title :
Signal Processing, IEEE Transactions on
