1. www.opticalimaging.org Tutorial on Computational Optical Imaging University of Minnesota 19-23 September David J. Brady Duke University www.disp.duke.edu

2. www.opticalimaging.org Lectures 1.Computational Imaging 2.Geometric Optics and Tomography 3.Fresnel Diffraction 4.Holography 5.Lenses, Imaging and MTF 6.Wavefront Coding and the impulse response 7.Interferometry and the van Cittert Zernike Theorem 8.Optical coherence tomography and modal analysis 9.Spectra, coherence and polarization 10.Computational spectroscopy and imaging

3. www.opticalimaging.org Lecture 2. Geometric Optics and Tomography Outline Fields and rays Optical imaging systems Projection tomography Reference structure tomography

4. www.opticalimaging.org Refractive Field Modulation

5. www.opticalimaging.org The Lens as a Curved Prism

6. www.opticalimaging.org Geometric Analysis of Lens Imaging

7. www.opticalimaging.org Geometric Analysis of Lens Imaging

8. www.opticalimaging.org Geometric Analysis of Lens Imaging

9. www.opticalimaging.org Geometric Analysis of Lens Imaging

10. www.opticalimaging.org Ray Tracing

11. www.opticalimaging.org Microscopes

12. www.opticalimaging.org Telescopes A telescope increases the angular extent of the object at the eye.

13. www.opticalimaging.org Tomography http://www.bo.infn.it/galvani/cultura-estero/latin-america/pannelli/d7.html http://www.mayoclinic.org/pet/

14. www.opticalimaging.org Projection Tomography

15. www.opticalimaging.org Projection Tomography

16. www.opticalimaging.org Convolution Backprojection

17. www.opticalimaging.org Spatial Segmentation by Field Sensors

18. www.opticalimaging.org Reference Structure Tomography

19. www.opticalimaging.org Number of signatures

20. www.opticalimaging.org Qualitative Argument for Growth in Signatures

21. www.opticalimaging.org Sensor bases vs. object bases

22. www.opticalimaging.org Reconstruction Simulations

23. www.opticalimaging.org Interesting Mathematical Issues Can use of logical models in physically defined spaces be justified more rigorously? Can formalism of radiation as association between points (visibility, impulse response, coherence functions) be generalized?