The Illumination Body of Almost Polygonal Bodies

Elisabeth Werner

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


For a convex body K in R2 with illumination body Kδ we consider an expression connected with the affine surface area of K, namely the volume differences vol2(Kδ) - vol2(K). We investigate what kind of functions can occur as such volume differences and obtain a result similar to the one obtained in the case of floating bodies.

Original languageEnglish (US)
Pages (from-to)343-354
Number of pages12
JournalGeometriae Dedicata
Issue number3
StatePublished - Jan 1 1997


  • Affine surface area
  • Floating body
  • Illumination body

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