Table of Contents
Real-Time X-Ray CT
Outline
Ray-Sums
Computed Tomography
Outline
Real-Time Imaging Using X-Ray CT
4D Volume
Outline
Fourier Slice Theorem
From Projections to Image
Need for Filtering
Filtered Backprojection
Example: Projection
Example: Backprojection
Example: Backprojection
Example: Filtering
Example: Filtered Backprojection
Outline
Why the Iterative Approach?
Linear Imaging System
Linear System Example
Iterative Reconstruction Idea
Make a Guess x(0) !
Rectifying the 1st Equation
Rectifying the 2nd Equation
Rectifying the 3rd Equation
Rectifying the 4th Equation
Different Rectifying Factors
How to Compromise?
Check Relative Weights
Use Relative Weights
Overall Rectifying Factor
Expectation Maximization Formula
Outline
Ordered-Subset EM Formula
Convergence Behavior
Speed Improvement
Simulation - OSEM for Denoising
Further Work
Acknowledgments
Thank-You
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Author: Ge Wang
Email: ge-wang@uiowa.edu
Home Page: http://dolphin.radiology.uiowa.edu/ge
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