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:
|
http://hdl.handle.net/10338.dmlcz/141371 |
. |
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. |
. |