Geodesic curves on surfaces with applications in AE

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F10%3A00176096" target="_blank" >RIV/68407700:21340/10:00176096 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Geodesic curves on surfaces with applications in AE

Popis výsledku v původním jazyce

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 surfacesi.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 thepoints of intersections. Hence, we discuss problems of testing solid composed of two cones.

Název v anglickém jazyce

Geodesic curves on surfaces with applications in AE

Popis výsledku anglicky

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 surfacesi.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 thepoints of intersections. Hence, we discuss problems of testing solid composed of two cones.

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2010

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

SPMS 2010 Stochastic and Physical Monitoring Systems

ISBN

978-80-01-04641-8

ISSN

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e-ISSN

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Počet stran výsledku

4

Strana od-do

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Název nakladatele

ČVUT

Místo vydání

Praha

Místo konání akce

Děčín

Datum konání akce

27. 6. 2010

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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