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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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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