Explicit finite inverse Hilbert transforms

Inverse Problems

Volumn 22, Issue 3, 2006, Pages

  You, Jiangsheng ^a   Zeng, Gengsheng L ^b  

^a Cubic Imaging LLC   (United States)

^b UNIVERSITY OF UTAH SCHOOL OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE RECONSTRUCTION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PROBLEM SOLVING;

HILBERT TRANSFORMS; SINGULAR ENDPOINTS; TRUNCATED PROJECTIONS; VARIABLE ANALYSIS;

INVERSE PROBLEMS;

EID: 33744515423     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/22/3/L01     Document Type: Article

References (4)

1. Noo F, Clackdoyle R and Pack J D 2004 A two-step Hilbert transform method for 2D image reconstruction Phys. Med. Biol. 49 3903-23
2. Rullgrd H 2002 An explicit inversion formula for the exponential Radon transform using data from 180 degrees Ark. Math. 42 145-67
3. Zou Y and Pan X 2004 Exact image reconstruction on PI lines from minimum data in helical cone-beam CT Phys. Med. Biol. 49 941-59
4. Tricomi F G 1957 Integral Equations (New York: Interscience)