Chapter 11. Strategy for Inverse Problem Solving

  1. J. Carlos Santamarina1 and
  2. Dante Fratta2

Published Online: 20 JUN 2006

DOI: 10.1002/0470021896.ch11

Discrete Signals and Inverse Problems: An Introduction for Engineers and Scientists

Discrete Signals and Inverse Problems: An Introduction for Engineers and Scientists

How to Cite

Santamarina, J. C. and Fratta, D. (2005) Strategy for Inverse Problem Solving, in Discrete Signals and Inverse Problems: An Introduction for Engineers and Scientists, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/0470021896.ch11

Author Information

  1. 1

    Georgia Institute of Technology, USA

  2. 2

    University of Wisconsin-Madison, USA

Publication History

  1. Published Online: 20 JUN 2006
  2. Published Print: 1 JUL 2005

ISBN Information

Print ISBN: 9780470021873

Online ISBN: 9780470021897

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Keywords:

  • inverse problem solving strategy;
  • positron emission tomography (PET);
  • close attention in experimental design;
  • preprocessing data;
  • systematic error detection – trigger delay;
  • selecting adequate physical model;
  • exploring different inversion methods;
  • remaining skeptical in final analysis

Summary

This chapter contains sections titled:

  • Step 1: Analyze the Problem

  • Step 2: Pay Close Attention to Experimental Design

  • Step 3: Gather High-quality Data

  • Step 4: Preprocess the Data

  • Step 5: Select an Adequate Physical Model

  • Step 6: Explore Different Inversion Methods

  • Step 7: Analyze the Final Solution

  • Summary

  • Solved Problems

  • Additional Problems