Image reconstruction from frequency domain data on arbitrary contours

Autor:	Mostafa Kaveh, M. Soumekh
Rok vydání:	2005
Předmět:	Split-step method symbols.namesake Fourier transform Fourier analysis Discrete-time Fourier transform Non-uniform discrete Fourier transform Discrete frequency domain Mathematical analysis symbols Algorithm Discrete Fourier transform Fractional Fourier transform Mathematics
Zdroj:	ICASSP
DOI:	10.1109/icassp.1984.1172337
Popis:	This paper presents a new view of the problem of image reconstruction in the spatial Fourier domain based on the generalized projections of a two-dimensional image. The algorithms that are presented are derived from the exact continuous relations between the Fourier transforms of a spatially limited image and those of its generalized projections. A Fourier domain reconstruction formula is derived that is a natural consequence of these relations giving values of the two-dimensional transform on a regular grid useful for inverse FFT. This approach is contrasted with the more ad hoc methods of Fourier domain interpolation and with the spatial domain approaches such as the backprojection and backpropagation methods.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d1b9c891f505f244c6ed79543f061e73 https://doi.org/10.1109/icassp.1984.1172337 Zobrazit plný text záznamu