CRC Press Reconstruction from Integral Data Mathematics Book

Reconstruction from Integral Data provides a comprehensive look at mathematical results used to solve complex problems in various diagnostic fields. This text from the Chapman and Hall/CRC Monographs and Research Notes in Mathematics series presents both long-standing and recent findings in a uniform way, making it a valuable resource for researchers and mathematicians. The book focuses on providing exact analytic formulas for reconstructing functions or vector fields. It covers data derived from integrals over a wide variety of shapes, including lines, rays, circles, arcs, parabolas, hyperbolas, planes, and hyperplanes. This technical foundation is essential for understanding processes in x-ray, ultrasound, sonar, seismic, and wave tomography. By addressing the mathematical methods behind reconstruction, this work supports applications in fields such as crystallography, photo-thermo-acoustics, photoelastics, and strain tomography. Whether you are studying scattering, impedance, or positron radiography, this monograph offers the necessary mathematical framework for analyzing integral data.