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Two finite inverse Hilbert transform formulae for region‐of‐interest tomography
Author(s) -
Zeng Gengsheng L.,
You Jiangsjemg,
Huang Qiu,
Gullberg Grant T.
Publication year - 2007
Publication title -
international journal of imaging systems and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.359
H-Index - 47
eISSN - 1098-1098
pISSN - 0899-9457
DOI - 10.1002/ima.20104
Subject(s) - inverse , hilbert transform , mathematics , tomography , hilbert curve , inverse problem , algorithm , mathematical analysis , geometry , physics , statistics , optics , spectral density
Recently we published two explicit formulae for finite inverse Hilbert transforms (You and Zeng, Inv Probl 22 (2006), L7‐L101). 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 tomography using truncated projections and the first formula of the finite inverse Hilbert transform are shown. © 2007 Wiley Periodicals, Inc. Int J Imaging Syst Technol, 17, 219–223, 2007