On offsets and curvatures for discrete and semidiscrete surfaces

Oleg Karpenkov, Johannes Wallner*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This paper studies semidiscrete surfaces from the viewpoint of parallelity, offsets, and curvatures. We show how various relevant classes of surfaces are defined by means of an appropriate notion of infinitesimal quadrilateral, how offset surfaces behave in the semidiscrete case, and how to extend and apply the mixed-area based curvature theory which has been developed for polyhedral surfaces.
Original languageEnglish
Pages (from-to)207-228
JournalBeiträge zur Algebra und Geometrie
Publication statusPublished - 2014

Fields of Expertise

  • Sonstiges

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