✦ LIBER ✦
Two finite inverse Hilbert transform formulae for region-of-interest tomography
✍ Scribed by Gengsheng L. Zeng; Jiangsjemg You; Qiu Huang; Grant T. Gullberg
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 218 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0899-9457
No coin nor oath required. For personal study only.
✦ Synopsis
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. V