Coding for compressive focal tomography

Applied Optics

Volumn 50, Issue 22, 2011, Pages 4436-4449

  Brady, David J ^a   Marks, Daniel L ^a  

^a Duke University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MOLECULAR PHYSICS; OPTICS;

EXTENDED DEPTH OF FIELD; EXTENDED FOCAL VOLUME; IMAGE-SPACE MODULATIONS; LIGHT FIELD SAMPLINGS; MODULATION TRANSFER; NOVEL STRATEGIES; SPATIAL FEATURES; SPATIAL RESOLUTION;

MODULATION;

EID: 79961058151     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.50.004436     Document Type: Article

References (55)

1. D. Brady, Optical Imaging and Spectroscopy (Wiley and Optical Society of America, 2009).
2. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (Society for Industrial and Applied Mathematics, 2001).
3. M. A. Neifeld and P. Shankar, "Feature-specific imaging," Appl. Opt. 42, 3379-3389 (2003).
4. D. J. Brady, N. Pitsianis, X. Sun, and P. Potuluri, "Compressive sampling and signal inference," U.S. Patents 7283231, 7432843, 7463179, 7616306, 7463174 and 7427932 (filed 19 July 2005 and issued 16 October 2007).
5. E. J. Candes, J. K. Romberg, and T. Tao, "Stable signal recovery from incomplete and inaccurate measurements," Commun. Pure Appl. Math. 59, 1207-1223 (2006). (Pubitemid 43988295)
6. D. L. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory 52, 1289-1306 (2006).
7. M. E. Gehm, R. John, D. J. Brady, R. M. Willett, and T. J. Schulz, "Single-shot compressive spectral imaging with a dual-disperser architecture," Opt. Express 15, 14013-14027 (2007). (Pubitemid 47608612)
8. A. Wagadarikar, R. John, R. Willett, and D. Brady, "Single disperser design for coded aperture snapshot spectral imaging," Appl. Opt. 47, B44-B51 (2008).
9. E. Y. Sidky and X. Pan, "Image reconstruction in circular conebeam computed tomography by constrained, total-variation minimization," Phys. Med. Biol. 53, 4777-4807 (2008).
10. G.-H. Chen, J. Tang, and S. Leng, "Prior image constrained compressed sensing: a method to accurately reconstruct dynamic CT images from highly undersampled projection data sets," Med. Phys. 35, 660-663 (2008). (Pubitemid 351190885)
11. D. J. Brady, K. Choi, D. L. Marks, R. Horisaki, and S. Lim, "Compressive holography," Opt. Express 17, 13040-13049 (2009).
12. A. Ashok and M. A. Neifeld, "Compressive light field imaging," Proc. SPIE 7690, 76900Q (2010).
13. D. J. Brady, "Multiplex sensors and the constant radiance theorem," Opt. Lett. 27, 16-18 (2002). (Pubitemid 34617933)
14. E. Candes and T. Tao, "Decoding by linear programming," IEEE Trans. Inf. Theory 51, 4203-4215 (2005). (Pubitemid 41800353)
15. D. Takhar, J. N. Laska, M. B. Wakin, M. F. Duarte, D. Baron, S. Sarvotham, K. F. Kelly, and R. G. Baraniuk, "A new compressive imaging camera architecture using opticaldomain compression," Proc. SPIE 6065, 606509 (2006).
16. M. F. Duarte, D. Takhar, J. N. Laska, T. Sun, P. Boufounos, K. F. Kelly, and R. G. Baraniuk, "Single-pixel imaging using compressive sensing," presented at IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP) 2008 Show and Tell, Las Vegas, Nevada, USA, 30 March-4 April 2008, URL: http://www.icassp2008.org/ShowAndTell.asp.
17. P. K. Baheti and M. A. Neifeld, "Feature-specific structured imaging," Appl. Opt. 45, 7382-7391 (2006). (Pubitemid 44719857)
18. P. K. Baheti and M. A. Neifeld, "Random projections based feature-specific structured imaging," Opt. Express 16, 1764-1776 (2008). (Pubitemid 351240018)
19. A. Veeraraghavan, R. Raskar, A. Agrawal, A. Mohan, and J. Tumblin, "Dappled photography: mask-enhanced cameras for heterodyned light fields and coded aperture refocusing," ACM Transactions on Graphics 26, 69 (2007).
20. C. K. Liang, T. H. Lin, B. Y. Wong, C. Liu, and H. H. Chen, "Programmable aperture photography: multiplexed light field acquisition," ACM Trans. Graph. 27, 55 (2008).
21. E. R. Dowski and W. T. Cathey, "Extended depth of field through wavefront coding," Appl. Opt. 34, 1859-1866 (1995).
22. J. R. Fienup, "MTF and integration time versus fill factor for sparse-aperture imaging systems," Proc. SPIE 4091, 43-47 (2000). (Pubitemid 32023669)
23. D. J. Brady, A. Mrozack, and K. Choi, "Sparse aperture coding for compressive sampling," Proc. SPIE 7818, 78180D (2010).
24. D. J. Brady, N. P. Pitsianis, and X. B. Sun, "Reference structure tomography," J. Opt. Soc. Am. A 21, 1140-1147 (2004).
25. P. Potuluri, U. Gopinathan, J. R. Adleman, and D. J. Brady, "Lensless sensor system using a reference structure," Opt. Express 11, 965-974 (2003).
26. P. Potuluri, M. B. Xu, and D. J. Brady, "Imaging with random 3D reference structures," Opt. Express 11, 2134-2141 (2003).
27. D. L. Marks, R. A. Stack, and D. J. Brady, "Three-dimensional coherence imaging in the fresnel domain," Appl. Opt. 38, 1332-1342 (1999). (Pubitemid 129577813)
28. D. L. Marks, R. A. Stack, D. J. Brady, D. C. Munson, and R. B. Brady, "Visible cone-beam tomography with a lensless interferometric camera," Science 284, 2164-2166 (1999). (Pubitemid 29297473)
29. A. A. Wagadarikar, D. L. Marks, K. Choi, R. Horisaki, and D. J. Brady, "Imaging through turbulence using compressive coherence sensing," Opt. Lett. 35, 838-840 (2010).
30. S. Basty, M. A. Neifeld, D. Brady, and S. Kraut, "Nonlinear estimation for interferometric imaging," Opt. Commun. 228, 249-261 (2003).
31. Z. Zhang and M. Levoy, "Wigner distributions and how they relate to the light field," in "IEEE International Conference on Computational Photography (ICCP) (IEEE, 2009).
32. E. C. Cull, D. P. Kowalski, J. B. Burchett, S. D. Feller, and D. J. Brady, "Three-dimensional imaging with the argus sensor array," Proc. SPIE 4864, 211-222 (2002).
33. B. S. Wilburn, M. Smulski, H.-H. K. Lee, and M. A. Horowitz, "Light field video camera," Proc. SPIE 4674, 29-36 (2001).
34. D. L. Marks, R. Stack, A. J. Johnson, D. J. Brady, and D. C. Munson, "Cone-beam tomography with a digital camera," Appl. Opt. 40, 1795-1805 (2001).
35. D. L. Marks, R. A. Stack, D. J. Brady, and J. van der Gracht, "Three-dimensional tomography using a cubic-phase plate extended depth-of-field system," Opt. Lett. 24, 253-255 (1999). (Pubitemid 129583904)
36. W. T. Cathey and E. R. Dowski, "New paradigm for imaging systems," Appl. Opt. 41, 6080-6092 (2002). (Pubitemid 35263581)
37. J. Ojeda-Castaneda, L. R. Berriel-Valdos, and E. L. Montes, "Line-spread function relatively insensitive to defocus," Opt. Lett. 8, 458-460 (1983).
38. W. T. Welford, "Use of annular apertures to increase focal depth," J. Opt. Soc. Am. 50, 749-753 (1960).
39. W. Chi and N. George, "Electronic imaging using a logarithmic asphere," Opt. Lett. 26, 875-877 (2001). (Pubitemid 33693601)
40. A. Greengard, Y. Schechner, and R. Piestun, "Depth from diffracted rotation," Opt. Lett. 31, 181-183 (2006).
41. S. Chaudhuri and A. N. Rajagopalan, Depth from Defocus : A Real Aperture Imaging Approach (Springer, 1999).
42. W. B. Seales and S. Dutta, "Everywhere-in-focus image fusion using controllable cameras," Proc. SPIE 2905, 227-234 (1996).
43. H. A. Eltoukhy and S. Kavusi, "A computationally efficient algorithm for multifocus image reconstruction," Proc. SPIE, 5017, 332-341 (2003).
44. S. T. Li, J. T. Y. Kwok, I. W. H. Tsang, and Y. N. Wang, "Fusing images with different focuses using support vector machines," IEEE Trans. Neural Netw. 15, 1555-1561 (2004).
45. S. T. Li and B. Yang, "Multifocus image fusion using region segmentation and spatial frequency," Image and Vision Computing 26, 971-979 (2008).
46. B. Yang and S. T. Li, "Multifocus image fusion and restoration with sparse representation," IEEE Trans. Instrum. Meas. 59, 884-892 (2010).
47. S. Hong, J. Jang, and B. Javidi, "Three-dimensional volumetric object reconstruction using computational integral imaging," Opt. Express 12, 483-491 (2004).
48. E. H. Adelson and J. Y. A. Wang, "Single lens stereo with a plenoptic camera," IEEE Trans. Pattern Anal. Machine Intell. 14, 99-106 (1992).
49. M. Levoy, "Light fields and computational imaging," Computer 39, 46-55 (2006). (Pubitemid 44275791)
50. A. Walther, "Radiometry and coherence," J. Opt. Soc. Am. 58, 1256-1259 (1968).
51. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).
52. A. R. FitzGerrell, E. R. Dowski, and W. T. Cathey, "Defocus transfer function for circularly symmetric pupils," Appl. Opt. 36, 5796-5804 (1997). (Pubitemid 127625530)
53. O. Cossairt, C. Zhou, and S. Nayar, "Diffusion coded photography for extended depth of field," ACM Trans. Graph. 29, 31 (2010).
54. D. J. Brady and N. Hagen, "Multiscale lens design," Opt. Express 17, 10659-10674 (2009).
55. D. L. Marks and D. J. Brady, "Gigagon: a monocentric lens design imaging 40 gigapixels," in "Imaging Systems," OSA Technical Digest (CD) (Optical Society of America, 2010), paper ITuC2.