Approximation of convex bodies and a momentum lemma for power diagrams

Monatshefte fur Mathematik

Volumn 127, Issue 2, 1999, Pages 101-110

  Böröczky Jr , Károly ^a,b   Ludwig, Monika ^c  

^a INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

^b ALFRÉD RÉNYI INSTITUTE OF MATHEMATICS   (Hungary)

^c VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Asymptotic approximation; Laguerre tiling; Momentum lemma; Power diagram

Indexed keywords

EID: 0040942582     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006050050026     Document Type: Article

References (8)

1. AURENHAMMER F (1987) Power diagrams: properties, algorithms and applications. SIAM J Comput 16: 78-96
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3. GRUBEK PM (1988) Volume approximation of convex bodies by inscribed polytopes. Math Ann 281: 229-245
4. GRUBER PM (1991) Volume approximation of convex bodies by circumscribed polytopes. The Victor Klee Festschrift, pp 309-317. DIMACS Ser 4. Providence, RI: Amer Math Soc
5. GRUBER PM (1993) Aspects of approximation of convex bodies. In: GRUBER PM. WILLS J (eds) Handbook of Convex Geometry A, pp 319-345. Amsterdam: North-Holland
6. GRUBER PM (1993) Asymptotic estimates tor best and stepwise approximation of convex bodies II. Forum Math 5: 521-538
7. LUDWIG M (1998) Asymptotic approximation of smooth convex bodies by general polytopes. Mathematika (to appear)
8. MCCLURE DE, VITALE RA (1975) Polygonal approximation of plane convex bodies. J Math Anal Appl 51: 326-358