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Tutorial on Computational Optical Imaging

www.opticalimaging.org. Lectures. Computational ImagingGeometric Optics and TomographyDiffraction and Optical ElementsHolographyLenses, Imaging and MTFWavefront CodingInterferometry and the van Cittert Zernike TheoremOptical coherence tomography and modal analysisSpectra, coherence and polar

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Tutorial on Computational Optical Imaging

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    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 Computational Imaging Geometric Optics and Tomography Diffraction and Optical Elements Holography Lenses, Imaging and MTF Wavefront Coding Interferometry and the van Cittert Zernike Theorem Optical coherence tomography and modal analysis Spectra, coherence and polarization Computational spectroscopy and imaging

    3. www.opticalimaging.org Lecture 4. Holography Outline Hologram formation and reconstruction Holography, spatial bandwidth and sampling Digital holography Fresnelets

    4. www.opticalimaging.org Hologram Formation

    5. www.opticalimaging.org Hologram Reconstruction

    6. www.opticalimaging.org Signal Bandwidth and off-axis Holography

    7. www.opticalimaging.org Display Holograms

    8. www.opticalimaging.org Volume vs. Thin Holograms

    9. www.opticalimaging.org Digital Holograms vs. Digital Holography

    10. www.opticalimaging.org Mathematical Analysis of Coherent Fields Fourier Methods are popular because - The Maxwell equations are linear

    11. www.opticalimaging.org Mathematical Analysis of Coherent Fields Fourier Methods are popular because - Optical fields tend to be spectrally narrow band

    12. www.opticalimaging.org Mathematical Analysis of Coherent Fields Fourier Methods are popular because -Fourier techniques are computationally efficient

    13. www.opticalimaging.org Challenges for Fourier Methods Sampling and sampling functions Global vs. local information/sparsity Tomography and field analysis Complex and 3D geometries

    14. www.opticalimaging.org Bases for Diffraction

    15. www.opticalimaging.org Fresnel Uncertainty

    16. www.opticalimaging.org Space-Bandwidth Product Conservation

    17. www.opticalimaging.org “Field-like” vs. “Image-like” Bases

    18. www.opticalimaging.org Fresnelets

    19. www.opticalimaging.org Properties of Fresnelets Fresnel transform of a Riesz basis produces a Riesz basis Analytically calculable for B-splines New generating function for each scale

    20. www.opticalimaging.org

    21. www.opticalimaging.org

    22. www.opticalimaging.org Tomography vs. Holographic Field Propagation

    23. www.opticalimaging.org Interesting Mathematical Issues How to efficiently represent image fields? How to efficiently and effectively analyze propagation? How to implement holographic tomography?

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