Image Processing II: Backprojection and Reconstruction Techniques

This lecture covers the backprojection operator, its interpretation as the accumulation of ray-sums passing through a point, and its adjoint property. It explains reconstruction by backprojection, impulse response determination, and the blurring effect. The Fourier Slice Theorem, Fourier Domain Reconstruction, and Inverse Radon Transform are discussed. The lecture also delves into Filtered Backprojection, FBP filters, and their theoretical formulas. Algebraic methods, ART, and Radon transform applications are explored. Further topics include changing radiation sources, Optical Projection Tomography, and challenges in centering samples. The lecture concludes with a summary of CAT measurements, spatial attenuation map reconstruction, and advanced reconstruction techniques.