# Gabor Ridge Functions: theory and applications

Loukas Grafakos
University of Missouri
USA

given at  strobl07 (21.06.07 14:00)
id:  435
length:  40min
status:  accepted
type:  talk
www:  http://www.math.missouri.edu/~loukas
We discuss a directionally sensitive time-frequency decomposition and representation of functions. The coefficients of this representation allow one to measure the amount'' of frequency the function (signal, image) contains in a certain time interval, and also in a certain direction. This has been previously achieved using a version of wavelets called ridgelets, developed by Candes, but in this work we discuss an approach based on time-frequency or Gabor elements. Applications to image processing and medical imaging are presented.