Modeling Optical Imaging System

Sean Pang, University of Central Florida, Optics and Photonics

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Initial Publication Date: October 29, 2024

Summary

This activity is based on my course OSE4830 at University of Central Florida in optical imaging systems. I hope this serves a quick and concise introduction to the mathematics and physics models of two- and higher dimensional imaging systems. It is suitable for senior undergraduate and first-year graduate students majoring in optical engineering, electrical engineering, computer science, biomedical engineering, applied physics, or anyone with background in STEM who is just interested in learning about optical imaging.

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Learning Goals

1. Master the concept of linear system. Students can explain and mathematically prove if a system is linear.
2. Understand the concept of eigen value and eigen function, and their application in image processing.
3. Apply scalar wave theory to calculate light propagation, and use it to model image system resolution.
4. Understand the mathematical models behind common imaging systems, including microscopy, optical coherence tomography, computed tomography, light detection and ranging (LIDAR), etc.

Context for Use

College of Optics and Photonics at University of Central Florida is one of the major optical education/research center in optical science and engineering. We have ~ 100 graduate students and 150 undergraduate students. The course is divided into 3 sections: 1. mathematical fundamentals, 2. physical optics fundamentals, and 3. examples of imaging system modeling.

The live scripts are designed to allow students to intuitively understand the math behind the image acquisition and processing.

Description and Teaching Materials

Optical Imaging System Modeling Courseware File Exchange

Teaching Notes and Tips

Of the 3 sections: 1. mathematical fundamentals, 2. physical optics fundamentals, and 3. examples of imaging system modeling. Section 1 required for understanding the concept. Section 2, if not interested in 3D imaging (under graduate level), the 'Diffraction-Limited 3D Imaging' lecture can be skipped. Lecturer can pick any topics from Section 3.


Assessment

Traditional tests will be given to access the students' understanding of the basic theory.
Coding assignments will be graded to determine the students' modeling skills.

References and Resources

Shuo Pang (2024). Optical Imaging System Modeling (https://github.com/optical-imaging/img-sys-modeling/releases/tag/v0.1.0), GitHub.