Title :
Two Finite Inverse Hilbert Transform Formulae for Region-of-Interest Tomography
Author :
Zeng, Gengsheng L. ; You, Jiangsjemg ; Huang, Qiu ; Gullberg, Grant T.
Author_Institution :
UCAIR, Utah Univ., Salt Lake City, UT
fDate :
Oct. 29 2006-Nov. 1 2006
Abstract :
Recently we published two explicit formulae for finite inverse Hilbert transforms [You, J and Zeng, GL, 2006]. This paper presents a straightforward proof of the formulae, the data requirements, and some computer simulations to verify the formulae. Examples of region-of-interest (ROI) tomography using truncated projections and the first formula of the finite inverse Hilbert transform are shown.
Keywords :
Hilbert transforms; computerised tomography; finite inverse Hilbert transform; region-of-interest tomography; Books; Cities and towns; Computer simulation; Filtering algorithms; Image reconstruction; Integral equations; Nuclear and plasma sciences; Radiology; Tomography; Transforms;
Conference_Titel :
Nuclear Science Symposium Conference Record, 2006. IEEE
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0560-2
Electronic_ISBN :
1095-7863
DOI :
10.1109/NSSMIC.2006.356479
