Optical realization of the radon transform

Optics Express

Volumn 22, Issue 26, 2014, Pages 32301-32307

  Ilovitsh, Tali ^a   Ilovitsh, Asaf ^a   Sheridan, John ^b   Zalevsky, Zeev ^a  

^a BAR ILAN UNIVERSITY   (Israel)

^b UNIVERSITY COLLEGE DUBLIN   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

LIQUID MEMBRANES; MATHEMATICAL TRANSFORMATIONS; OPTICAL SYSTEMS; RADON;

4-F SYSTEM; CARTESIAN COORDINATE; OPTICAL REALIZATION; RADON TRANSFORM; SINGLE FRAMES; SPATIAL LIGHT MODULATORS;

LIGHT MODULATORS;

ALGORITHM; COMPUTER ASSISTED DIAGNOSIS; DEVICE FAILURE ANALYSIS; DEVICES; EQUIPMENT DESIGN; IMAGE QUALITY; OPTICAL INSTRUMENTATION; PHOTOMETRY; PROCEDURES;

ALGORITHMS; EQUIPMENT DESIGN; EQUIPMENT FAILURE ANALYSIS; IMAGE INTERPRETATION, COMPUTER-ASSISTED; OPTICAL DEVICES; PHANTOMS, IMAGING; PHOTOMETRY;

EID: 84920144394     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.22.032301     Document Type: Article

References (13)

1. J. Radon, "Über die Bestimmung von Funktionen durch ihre Integralwerte Längs gewisser Mannigfaltigkeiten," Ber. Sächs. Akad. Wiss 69, 262-278 (1917).
2. M. Nishimura, D. Casasent, and F. Caimi, "Optical inverse Radon transform," Opt. Commun. 24 (3), 276-280 (1978).
3. F. Colonna, G. Easley, K. Guo, and D. Labate, "Radon transform inversion using the shearlet representation," Appl. Comput. Harmon. Anal. 29(2), 232-250 (2010).
4. S. R. Deans, The Radon Transform and Some of Its Applications (New York: Wiley, 1983).
5. D. Mendlovic, R. G. Dorsch, A. W. Lohmann, Z. Zalevsky, and C. Ferreira, "Optical illustration of a varied fractional Fourier-transform order and the Radon-Wigner display," Appl. Opt. 35(20), 3925-3929 (1996).
6. C. G. Ho, R. C. D. Young, C. D. Bradfield, and C. R. Chatwin, "A Fast Hough Transform for the Parametrisation of Straight Lines using Fourier Methods," Real Time Imaging 6(2), 113-127 (2000).
7. W. Götz and H. Druckmüller, "A fast digital Radon transform-An efficient means for evaluating the Hough transform," Pattern Recognit. 29(4), 711-718 (1996).
8. Y. Kashter, O. Levi, and A. Stern, "Optical compressive change and motion detection," Appl. Opt. 51 (13), 2491-2496 (2012).
9. V. Farber, Y. August, and A. Stern, "Super-resolution compressive imaging with anamorphic optics," Opt. Express 21(22), 25851-25863 (2013).
10. W. H. Steier and R. K. Shori, "Optical Hough transform," Appl. Opt. 25(16), 2734 (1986).
11. S. Woolven, V. M. Ristic, and P. Chevrette, "Hybrid implementation of a real-time Radon-space imageprocessing system," Appl. Opt. 32(32), 6556-6561 (1993).
12. H. H. Barrett and W. Swindell, Radiological Imaging: The Theory of Image Formation, Detection, and Processing (Elsevier, 1996).
13. O. Fixler and Z. Zalevsky, "Geometrically superresolved lensless imaging using a spatial light modulator," Appl. Opt. 50(29), 5662-5673 (2011).