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  • Convex hull is one of the fundamental problems in computational geometry. It is a useful tool for constructing other structures and a necessary instrument for solving many computational problems. A convex area is unambiguously defined on the plane according to several definitions which hold equivalently. However, how can we recognize whether a set lying on a polyhedral surface is convex or non-convex? Is it possible to define a convexity on a polyhedral surface correctly? The answer to these and many other questions is the aim of our article.
  • Convex hull is one of the fundamental problems in computational geometry. It is a useful tool for constructing other structures and a necessary instrument for solving many computational problems. A convex area is unambiguously defined on the plane according to several definitions which hold equivalently. However, how can we recognize whether a set lying on a polyhedral surface is convex or non-convex? Is it possible to define a convexity on a polyhedral surface correctly? The answer to these and many other questions is the aim of our article. (en)
  • Konvexní obal je jedním ze stěžejních problémů ve výpočetní geometrii. Je důležitým nástrojem pro výpočet dalších struktur a nezbytný k řešení mnoha geometrických problémů. Konvexní oblast je jednoznačně definována v rovině podle několika ekvivalentních definicí. Ovšem, jak lze rozpoznat, zda množina ležící na povrchu mnohostěnu je konvexní či nekonvexní? Je možné definovat konvexitu na povrchu mnohostěnu? Článek se pokouší zodpovědět tyto a podobné otázky. (cs)
Title
  • Problems of Convexity on Polyhedral Surfaces
  • Problems of Convexity on Polyhedral Surfaces (en)
  • Problémy konvexity na povrchu mnohostěnů (cs)
skos:prefLabel
  • Problems of Convexity on Polyhedral Surfaces
  • Problems of Convexity on Polyhedral Surfaces (en)
  • Problémy konvexity na povrchu mnohostěnů (cs)
skos:notation
  • RIV/49777513:23520/08:00500884!RIV09-MSM-23520___
http://linked.open...avai/riv/aktivita
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  • 389907
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  • RIV/49777513:23520/08:00500884
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  • convex hull; discrete surface; discrete geodesic; triangulation (en)
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  • [AAEE97A789A7]
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  • Lednice
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  • Brno
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  • Sborník příspěvků 28. konference o geometrii a grafice
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  • Porazilová, Anna
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  • Mendelova zemědělská a lesnická univerzita v Brně
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  • 978-80-7375-249-1
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  • 23520
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