Tomography
Basics
- What is an inverse problem?
- What is tomographytomography, sectional imaging?
- What is a phantom?
- What is a sinogram?
- Lines determined by polar coordinates
Radon Transform and Computed Tomography
- Principles of CT (Computed Tomography)
- Radon Transform $\mathcal{R}$
- Back Projection $\mathcal{R}^{\#}$: The Dual of Radon Transform
- Fourier Slice Theorem
- Inverse Radon Transform
- Hilbert Transform
Cone-beam Radon Transform
Photoacoustic Tomography (PAT)
Magnetic Resonance Imaging (MRI)
- What is Magnetic Resonance Imaging?
- Principles of Magnetic Resonance Imaging
Simulation
- Using the Shepp-Logan phantom in Julia, MATLAB, Python
- Using the Radon Transform in Julia, MATLAB, Python
- How to use back projection in Julia
back_projection()
- How to use inverse Radon transform in Julia
iradon()
Medical Imaging
- Structural and Functional Medical Imaging
- Types of Medical Imaging Cross-sections
- [Medical Imaging File Extensions]
All posts
- Lines Determined by Polar Coordinates
- Properties of Radon Transform
- Back Projection: The Dual of the Radon Transform
- Fourier Slice Theorem
- Radon Inverse Transform: Filtered Back Projection (FBP)
- Hilbert Transform
- Principles of CT (Computed Tomography)
- Principle of the Compton Camera
- What is Tomography?
- Radon Transformation
- How to Use Radon Transform in Julia, MATLAB, Python
- How to Use the Shepp-Logan Phantom in Julia, MATLAB, and Python
- What is an Inverse Problem?
- n-Dimensional Radon Transform
- What is a Phantom in Tomography?
- What is a Sinogram in Tomography?
- Principles of Photoacoustic Tomography
- Radon Transform and Product Integration, Convolution
- Structural Medical Imaging and Functional Medical Imaging
- Types of Cross Sections in Medical Imaging