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Discrete quasiconformal mappings

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Summary

Some basic properties of quasiconformal mappings are reviewed which leads to the development of discrete analogs of quasiconformal mappings of a multiply connected domain onto a rectangular domain with slits. These discrete mappings can be constructed by solving a system of equations. Comparison of results for a special conformal mapping suggest that the discrete mapping is a good approximation to the quasiconformal mapping.

Zusammenfassung

Es werden einige grundlegende Eigenschaften quasikonformer Abbildungen diskutiert, und es wird ein diskretes Analogon solcher Abbildungen aufgestellt, mit Hilfe dessen mehrfach zusammenhängende Bereiche auf Rechteckbereiche mit Schlitzen abgebildet werden können. Ein Vergleich der Resultate für eine spezielle konforme Abbildung zeigt, dass die diskrete Abbildung eine gute Approximation der quasikonformen Abbildung liefert.

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Authors and Affiliations

  1. Mississippi State University, Mississippi State, USA

    C. Wayne Mastin & Joe F. Thompson

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  1. C. Wayne Mastin
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  2. Joe F. Thompson
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Mastin, C.W., Thompson, J.F. Discrete quasiconformal mappings. Journal of Applied Mathematics and Physics (ZAMP) 29, 1–11 (1978). https://doi.org/10.1007/BF01797299

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  • DOI: https://doi.org/10.1007/BF01797299

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