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  • Geodesic curves play the important role in computer simulations. Geodesic equations, their solution and a shortest path in the graph theory is described. Further, we demonstrate and compare an existing algorithms for computation the geodesics on surfaces i.e. Newton-Raphson method and Dijkstra's algorithm. We propose a few improvements involving triangulation of surface. Geodesic curves may find applications in failure crack detection in acoustic emission. By means of geodesic curves we seek for the exact localization of AE source on topological surfaces. We deal with cylinders, spheres, cones and their compositions with various types of intersections. The intersections can be complicated and the main task is to find the geodesics, which go through the points of intersections. Hence, we discuss problems of testing solid composed of two cones.
  • Geodesic curves play the important role in computer simulations. Geodesic equations, their solution and a shortest path in the graph theory is described. Further, we demonstrate and compare an existing algorithms for computation the geodesics on surfaces i.e. Newton-Raphson method and Dijkstra's algorithm. We propose a few improvements involving triangulation of surface. Geodesic curves may find applications in failure crack detection in acoustic emission. By means of geodesic curves we seek for the exact localization of AE source on topological surfaces. We deal with cylinders, spheres, cones and their compositions with various types of intersections. The intersections can be complicated and the main task is to find the geodesics, which go through the points of intersections. Hence, we discuss problems of testing solid composed of two cones. (en)
Title
  • Geodesic curves on surfaces with applications in AE
  • Geodesic curves on surfaces with applications in AE (en)
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  • Geodesic curves on surfaces with applications in AE
  • Geodesic curves on surfaces with applications in AE (en)
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  • RIV/68407700:21340/10:00176096!RIV11-MSM-21340___
http://linked.open...avai/riv/aktivita
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  • 260592
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  • RIV/68407700:21340/10:00176096
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  • Geodesic curves; Geodetic equations; Numerical solution (en)
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http://linked.open...ontrolniKodProRIV
  • [16D7CDF98B8D]
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  • Děčín
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  • Praha
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  • SPMS 2010 Stochastic and Physical Monitoring Systems
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http://linked.open...UplatneniVysledku
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  • Záveský, Michal
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number of pages
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  • České vysoké učení technické v Praze
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  • 978-80-01-04641-8
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  • 21340
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