Analytic Tomography by Andrew Markoe

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  • Title: Analytic Tomography
  • Author: Andrew Markoe
  • Category: Different
  • Date: Aug 2013
  • Lenguage: English
  • Pages: unknown
  • ISBN: 9780511837722

 

Ebook description:

This 2006 e-book is a complete examine of the Radon remodel, which operates on a perform by integrating it over hyperplanes. The e-book begins with an elementary and graphical introduction to the Radon remodel, tomography and CT scanners, adopted by a rigorous improvement of the essential properties of the Radon remodel. Subsequent the writer introduces Grassmann manifolds within the examine of the k-plane remodel (a model of the Radon remodel) which integrates over k-dimensional planes slightly than hyperplanes. The remaining chapters are involved with more superior subjects, such because the attenuated Radon remodel and generalized Radon transforms outlined by duality of homogeneous areas and double fibrations. Questions of invertibility and the vary of the Radon remodel are handled and inversion formulation are developed with explicit consideration to features on L2 areas and a few dialogue of the case of Lp areas.

 

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