Examples

This section demonstrates practical applications of the diffct library for various computed tomography (CT) reconstruction tasks. Each example provides comprehensive mathematical background, implementation details, and complete working code.

The examples are organized into two main categories:

Analytical Reconstruction Methods - Filtered backprojection (FBP) algorithms for direct reconstruction - Standard analytical approaches used in clinical and research settings

Iterative Reconstruction Methods - Gradient-based optimization approaches using differentiable operators - Advanced reconstruction techniques with regularization capabilities

Analytical Reconstruction

• Parallel Beam Filtered Backprojection (FBP)
• Fan Beam Filtered Backprojection (FBP)
• Cone Beam FDK Reconstruction

Iterative Reconstruction

• Parallel Beam Iterative Reconstruction
• Fan Beam Iterative Reconstruction
• Cone Beam Iterative Reconstruction