IMA Tutorial on Optical Imaging

David J. Brady
Duke Unviersity
david.brady@duke.edu

Course notes

Text: Optical Imaging and Spectroscpy, David J. Brady (Distributed in hard copy)

Monday

• Computational imaging systems and geometric optics

  • Morning Lecture Computational Imaging
    • Text chapter 1
    • R. Shogenji,  Y. Kitamura,  K. Yamada,  S. Miyatake, and J. Tanida, "Multispectral imaging using compact compound optics," Opt. Express 12, 1643-1655 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-8-1643
    • Kitamura Y, Shogenji R, Yamada K, et al.Reconstruction of a high-resolution image on a compound-eye image-capturing system APPLIED OPTICS 43 (8): 1719-1727 MAR 10 2004
    • Matlab code for modified uniformly redundant array generation. Run tijMURA.m first to generate the coded aperture and then run imageExample.m to image a source.
• Afternoon Lecture Geometric Optics and Tomography
  • Text chapter 2
  • David J. Brady, Nikos Pitsianis., Xiaobai Sun, Reference structure tomography . JOSA A, 2004. 21(7): p. 1140-1147.
  • Pankaj Agrawal, D.J. Brady and J. Matousek, Object Space Segmentation by Geometric Reference Structures

Tuesday

• Fourier optics, sampling and holography

  • Morning Lecture Diffraction and Optical Elements
    • Text Chapters 3 and 4
    • Matlab code used to generate diffraction examples
  • Afternoon Lecture Holography
    • M. Liebling, T. Blu, M. Unser, " Fresnelets: New Multiresolution Wavelet Bases for Digital Holography ," IEEE Transactions on Image Processing, vol. 12, no. 1, pp. 29-43, January 2003.
    • M. Liebling, M. Unser, " Autofocus for Digital Fresnel Holograms by Use of a Fresnelet-Sparsity Criterion ," Journal of the Optical Society of America A, vol. 21, no. 12, pp. 2424-2430, December 2004.
    • Ehud Heyman, Leopold B. Felsen , Gaussian beam and pulsed-beam dynamics: complex-source and complex-spectrum formulations within and beyond paraxial asymptotics, JOSA A, Vol. 18 Issue 7 Page 1588 (July 2001)
    • Mathematica code used to illustrate Hermite gaussian diffraction
    • Matlab code to produce coefficients for Hermite polynomials

Wednesday

• Imaging system analysis

  • Morning Lecture Lenses, imaging and MTF
    • Text chapters 5 and 6
  • Afternoon Lecture Wavefront coding and the impulse response
    • "New Paradigm for Imaging Systems", Applied Optics-IP, Vol.41 Issue 29 Page 6080 (October 2002) W. Thomas Cathey and Edward R. Dowski.

Thursday

• Interference and Coherence Imaging

  • Morning Lecture Interferometry and the van Cittert-Zernike Theorem
    • Marks, D.L., et al., Visible cone-beam tomography with a lensless interferometric camera . Science, 1999. 284 (5423): p. 2164-2166
    • Marks, D.L., R.A. Stack, and D.J. Brady, Three-dimensional coherence imaging in the Fresnel domain. Applied Optics, 1999. 38(8): p. 1332-1342.
    • A. J. Devaney, “The inverse problem for random sources,” J. Math. Phys. 20, 1687–1691 ~1979!.
  • Afternoon Lecture OCT and spatial/spectral and temporal degrees of freedom
  • HUANG D, SWANSON EA, LIN CP, et al. Optical coherence tomography SCIENCE 254 (5035): 1178-1181 NOV 22 1991
  • Brady, D. J., Multiplex imaging and the constant radiance theorem , Optics Letters, 2002, 27 (1):16-19.

Friday

• Spectroscopy and Spectral Imaging

  • Morning lecture Spectral tomography
    • matlab code for cgh analysis
    • image used in cgh code
    • Text Chapter 9
    • Brodzik AK, Mooney JM Convex projections algorithm for restoration of limited-angle chromotomographic images JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION 16 (2): 246-257 FEB 1999
  • Afternoon Lecture Coded aperture spectroscopy and spectral tomography
    • Text chapter 9