A Prelude to Sampling, Wavelets, and Tomography (Ahmed I. Zayed) Part I: Sampling and Frames Sampling Without Input Constraints: Consistent Reconstruction in Arbitrary Spaces (Yonina C. Eldar) An Introduction to Irregular Weyl-Heisenberg Frames (Peter G. Casazza) Robustness of Regular Sampling in Sobolev Algebras (Hans G. Feichtinger and Tobias Werther) Adaptive Irregular Sampling in Meshfree Flow Simulation (Armin Iske) Part II: Wavelets Polynomial Matrix Factorization, Multidimensional Filter Banks and Wavelets (N. K. Bose and S. Lertrattanapanich) Sampling Theorems for Non-Bandlimited Signals (P. P. Vaidyanathan) Function Spaces Based on Wavelet Expansions (Stéphane Jaffard) Generalized Frame Multiresolution Analysis of Abstract Hilbert Spaces (Manos Papadakis) Part III: Tomography Sampling Theory and Parallel-Beam Tomography (Adel Faridani) Filtered Backprojection Algorithms For Spiral Cone Beam CT (Alexander Katsevich and Guenter Lauritsch) Thin-Plate Spline Interpolation (David C. Wilson and Bernard Mair) Index