Two finite inverse Hilbert transform formulae for region‐of‐interest tomography |
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| Authors: | Gengsheng L Zeng Jiangsjemg You Qiu Huang Grant T Gullberg |
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| Affiliation: | 1. UCAIR, Radiology Department, University of Utah, Salt Lake City, UT 84108;2. Cubic Imaging LLC, Auburndale, MA 02466;3. Lawrence Berkeley Laboratory, Berkeley, CA 94720 |
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| Abstract: | 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 |
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| Keywords: | Hilbert transform image processing finite transform |
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