Tutorial on Computational Optical Imaging

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Tutorial on Computational Optical Imaging

• University of Minnesota
• 19-23 September
• David J. Brady
• Duke University
• www.disp.duke.edu

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Lectures

• Computational Imaging
• Geometric Optics and Tomography
• Fresnel Diffraction
• 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

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Lecture 8. Optical Coherence Tomography and Modal
Analysis

• Optical coherence tomography and biophotonics
• The Constant Radiance Theorem

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Imaging as photon binning
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The Constant Radiance Theorem
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Coherent Mode Decomposition
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Transformation of W on propagation
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Transformation of coherent mode distribution
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Measurement and CRT
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Significance if coherent modes are known
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Significant if coherent nodes are unknown
Coherent modes for 3D incoherent sources
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Biophotonics

• Joseph Izatt
• Biophotonics Laboratory,
• Fitzpatrick Center for Photonics and
  Communication Systems
• Biomedical Engineering Department
• Duke University

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Biophotonic Technologies
Multiphoton Microscopy
Optical Ranging and Tomography
Evanescent Wave Techniques
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Tissue Spectroscopy
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Photon Migration
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Functional Imaging
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OPTICAL COHERENCE TOMOGRAPHY
Transverse Resolution
Longitudinal Resolution
2 - 25 mm
1.5 - 15 mm
DL Round-trip coherence envelope FWHM Dl
Source bandwidth FWHM
Dx Confocal resolving power N.A. Numerical
aperture
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ENDOSCOPIC OPTICAL COHERENCE TOMOGRAPHY

• EOCT Probe
• 2 m long
• 2.4 mm dia
• Rotates 4 - 6.67 Hz

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IN VIVO HUMAN ENDOSCOPIC OCT
Esophagus
Stomach
Small Intestine
Colon
Rectum
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IN VIVO HUMAN UPPER ENDOSCOPIC OCT
Normal Esophagus
Aggressive Contact
Suction
E
G
LPMM
E
SubM
MP
SubM
D
BV
LPMM
G
MP
E - Squamous Epithelium LP - Lamina Propria MM -
Muscularis Mucosa SubM - Submucosa
MP - Muscularis Propria BV - Blood Vessels G -
Glands D - Duct
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CANCER IMAGING WITH ENDOSCOPIC OCT
Invasive Adenocarcinoma in Barretts Esophagus
A
B
1 mm
B Barretts Esophagus A Adenocarcinoma
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REAL-TIME, VIDEO-CORRELATED SLITLAMP-MOUNTED
OPHTHALMIC OCT
3.5 mm depth x 6 mm width
6 mm depth x 14 mm width
Virtual aiming beam
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REAL TIME OCT IN EXPERIMENTAL RETINAL SURGERY
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CARDIAC MORPHOLOGY AND DEVELOPMENT IN CHICK
EMBRYOS
St.15 Chick embryo
Histology
Real-Time OCT
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Theory of OCT
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Interesting Mathematical Issues

• Can a general theory of association between
  optical representation parameters and digital
  measurements be developed?
• Is a general theory of imaging metrics possible?
• What about tissue? What are ideal optical
  measures of tissue?