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Inverse Probleme der Geodäsie

Ein Abriss mathematischer Lösungsstrategien

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Handbuch der Geodäsie

Part of the book series: Springer Reference Naturwissenschaften ((SRN))

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Zusammenfassung

Der vorliegende Beitrag beschäftigt sich mit mathematischen Lösungspotentialen und Strategien für inverse Probleme in der Geodäsie. Die Dilemmata hinsichtlich Existenz, Eindeutigkeit und Stabilität eines Lösungsprozesses werden beschrieben. Die Notwendigkeit zur Regularisierung wird herausgestellt, spezifische Eigenschaften der Regularisierungsverfahren werden kurz skizziert.

Abstract

This contribution is concerned with mathematical potentials and strategies for the solution of inverse problems in geodesy. The dilemmata with respect to existence, uniqueness, and stability of a solution process are described. The need of regularization is pointed out, specific properties of regularization procedures are briefly sketched.

Dieser Beitrag ist Teil des Handbuchs der Geodäsie, Band ,,Mathematical Geodesy/Mathematische Geodäsie“, herausgegeben von Willi Freeden, Kaiserslautern.

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Author information

Authors and Affiliations

  1. Arbeitsgruppe Geomathematik, Fachbereich Mathematik, TU Kaiserslautern, Kaiserslautern, Deutschland

    Willi Freeden

  2. CBM – Gesellschaft für Consulting, Business und Mangagement mbH, Bexbach, Deutschland

    Helga Nutz

Authors
  1. Willi Freeden
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  2. Helga Nutz
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Correspondence to Willi Freeden .

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Editors and Affiliations

  1. Lehr- und Forschungsgebiet "Geomathemati, TU Kaiserslautern, Kaiserslautern, Germany

    Willi Freeden

  2. Physikalische Geodäsie, TU München Inst. Astronomische und, München, Germany

    Reiner Rummel

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Freeden, W., Nutz, H. (2018). Inverse Probleme der Geodäsie. In: Freeden, W., Rummel, R. (eds) Handbuch der Geodäsie. Springer Reference Naturwissenschaften . Springer Spektrum, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46900-2_92-1

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  • DOI: https://doi.org/10.1007/978-3-662-46900-2_92-1

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  • Print ISBN: 978-3-662-46900-2

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