Medial axis and a moment map

• Autorzy: Siersma D. , Manen van M.
• Języki publikacji: EN

Abstrakty

EN

We use Maslov dequantization to compute the medial axis of an embedded hypersurface.

Słowa kluczowe

EN

Voronoi diagrams; medial axis

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 2
• Strony: 375--385
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Siersma D.

autor

Manen van M.

• Mathematisch Instituut Universiteit Utrecht PO BOX 80010 3508 Ta Utrecht, The Netherlands,

Bibliografia

• [1] N. Amenta, M. Bern, M. Kamvysselis, A new voronoi-based surface reconstruction algorithm, SIGGRAPH ’98: Proceedings of the 25th annual conference on Computer graphics and interactive techniques (New York, NY, USA), ACM Press, 1998, pp. 415–421.
• [2] A. A. Agrachev, D. Pallaschke, S. Scholtes, On Morse theory for piecewise smooth functions, J. Dynam. Control Systems 3 (1997), no. 4, 449–469. MR MR1481622 (98m:49034)
• [3] William Fulton, Introduction to toric varieties, Annals of Mathematics Studies, vol. 131, Princeton University Press, Princeton, NJ, 1993, The William H. Roever Lectures in Geometry. MR MR1234037 (94g:14028)
• [4] L. Hörmander, Notions of convexity, Progress in Mathematics, vol. 127, Birkhäuser Boston Inc., Boston, MA, 1994. MR MR1301332 (95k:00002)
• [5] S. Mandelbrojt, Sur les fonctions convexes, C. R. Acad. Sci. Paris 209 (1939), 977–978. MR MR0000846 (1,137b)
• [6] M. Passare, H. Rullgård, Amoebas, Monge-Ampère measures, and triangulations of the Newton polytope, Duke Math. J. 121 (2004), no. 3, 481–507. MR MR2040284 (2005a:32005)