Algorithmic Aspects of Tomographic Reconstruction from Parallel and Diffracted Projections

M. Liebling

Invited talk, Second Korean-Swiss Workshop on Novel Coherence-Based Radiology Techniques, Jeju-Do, Korea, February 19-22, 2003.

Invited talk

We review our recent work on a high-quality discretization of the Radon transform and filtered back-projection. We focus on issues regarding the trade-off between interpolation model, sampling-step size, number of projections, and computational complexity. We then present a wavelet-based approach for the reconstruction of images from different kinds of measurements: digital holograms and projections obtained by optical diffraction tomography. It is based on Fresnelet bases, which are wavelets that we have specifically designed for problems involving wave propagation. Numerical experiments on synthetic and real-world data demonstrate the soundness of our approach.

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