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Title: Minkowského množinové operace a jejich aplikace (Czech)
Title: Minkowski set theoretical operations and their applications (English)
Author: Tomiczková, Světlana
Language: Czech
Journal: Pokroky matematiky, fyziky a astronomie
ISSN: 0032-2423
Volume: 52
Issue: 4
Year: 2007
Pages: 311-322
Category: math
Keyword: Minkowski sum
Keyword: Minkowski difference
Keyword: offset
MSC: 51B20
MSC: 51M15
MSC: 52Axx
idZBL: Zbl 1265.51003
Date available: 2010-12-11T22:24:44Z
Last updated: 2015-11-29
Stable URL:
Reference: [1] Berg, M. de, Kreveld, M. van, Overmars, M., Schwarzkopf, O.: Computational geometry. Algorithms and applications.Springer Verlag, Berlin 1997. MR 1470713, 10.1007/978-3-662-03427-9_1
Reference: [2] Brechner, E. L.: General offset Curves and Surfaces.In: Geometry Processing for Design and Manufacturing, ed. Barnhill, R. E., SIAM, Philadelphia 1992, 101–121. Zbl 0767.53006, MR 1146753
Reference: [3] Farouki, R. T., Moon, H. P., Ravani, B.: Minkowski geometric algebra of complex sets.Geometriae Dedicata 85 (2001), 283–315. Zbl 0987.51012, MR 1845613, 10.1023/A:1010318011860
Reference: [4] Farouki, R. T., Chastang, J.-C. A.: Curves and surfaces in Geometrical Optics.Mathematical Methods in Computer Aided Geometric Design II. Academic Press 1992. MR 1172807
Reference: [5] Matheron, G.: Random sets and integral geometry.J. Wiley & Sons, New York 1975. Zbl 0321.60009, MR 0385969
Reference: [6] Pottmann, H.: General offset surfaces.Neural, Parallel & Scientific Computations 5 (1997), 55–80. MR 1488464
Reference: [7] Santalo, L. A.: Integral Geometry and Geometric Probability.Adison-Wesley, Massachusetts 1976. Zbl 0342.53049, MR 0433364
Reference: [8] Serra, J.: Image Analysis and Mathematical Morphology.Acad. Press, London 1982. Zbl 0565.92001, MR 0753649
Reference: [9] Smukler, M.: Geometry, Topology and aplications of the Minkowski Product and Action.Senior thesis, Harvey Mudd College 2003.
Reference: [10] Tomiczková, S.: Minkowského operace a jejich aplikace.Disertační práce, ZČU v Plzni 2006.
Reference: [11] Wallner, J., Sakkalis, T., Maekawa, T., Pottmann, H., Yu, G.: Self-Intersection of Offset Curves and Surfaces.March 30, 2001.
Reference: [12] Weiner, I., Gu, W.: Minkowski geometric algebra of quaternion sets.International Journal of Pure and Applied Mathematics, Vol. 3, No. 4 (2002), 385–411. Zbl 1033.53004, MR 1943208
Reference: [13] Zhenyu, L.: Compaction Algorithms for Non-Convex Polygons and Their Applications.PhD. thesis, Harvard University, Massachusetts 1994.


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