Inverse problems in measurement |
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| Affiliation: | 1. Department of Biochemistry and Molecular Biology, University of Massachusetts Amherst, Amherst, MA, USA;2. Program in Molecular and Cellular Biology, University of Massachusetts Amherst, Amherst, MA, USA;3. Department of Chemistry, University of Massachusetts Amherst, Amherst, MA, USA;4. Institute for Applied Life Sciences, Mass Spectrometry Center, University of Massachusetts Amherst, Amherst, MA, USA;5. Department of Cell Biology, Nanobiology Institute, Yale School of Medicine, West Haven, CT, USA;6. Departments of Therapeutic Radiology and Pharmacology, Yale School of Medicine, New Haven, CT, USA;1. Dipartimento di Matematica, Università di Trento, Via Sommarive 5, 38123 Povo (TN), Italy;2. Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany;3. Mathematics Institute, University of Warwick, Zeeman Building, CV4 7HP Coventry, United Kingdom;1. Department of Mechanical Engineering, Columbia University, New York, NY, USA;2. Department of Obstetrics and Gynecology, Intermountain Healthcare, Provo, UT, USA;3. Department of Medical Physics, University of Wisconsin, Madison, WI, USA;4. Department of Mechanical and Process Engineering, ETH Zurich, & EMPA Dübendorf, Switzerland;5. Department of Obstetrics and Gynecology, Columbia University Medical Center, New York, NY USA;6. Department of Obstetrics and Gynecology, University Hospital of Zurich, Switzerland;7. Department of Obstetrics and Gynecology, Tufts Medical Center, Boston, MA, USA |
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| Abstract: | The aim of a measurement procedure is to determine an input value from an output value and information about the measuring instrument. These are known in mathematical terms as inverse problems and this paper surveys the main methods of solving them. Practical examples, are given to show that the different methods are effective. |
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