Image recovery from irregularly located spectral samples

Autor:	Rick P. Millane, Nicholas D. Blakeley, Philip J. Bones
Rok vydání:	2002
Předmět:	Moment (mathematics) Matrix (mathematics) symbols.namesake Discretization Mathematical analysis symbols Sampling (statistics) Nyquist frequency Fredholm integral equation Toeplitz matrix Image restoration Mathematics
Zdroj:	ICIP (1)
Popis:	Recovery of magnetic resonance images from irregular sampling sets is investigated from the point of view of moment discretization of the Fredholm equation of the first kind. The limited spatial extent of the object is known a priori and the sampling schemes considered each have mean density lower than that imposed by the Nyquist limit. The recovery formula obtained has the same form as a standard irregular sampling technique. A practical means of performing the recovery for very large data sets by utilising the block Toeplitz structure of the matrix involved is presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1b84803501960cbedc1b54d1c3f59369 https://doi.org/10.1109/icip.2001.958992 Zobrazit plný text záznamu