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Geodesic curves on surfaces with applications in AE

The result's identifiers

  • Result code in 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>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Geodesic curves on surfaces with applications in AE

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2010

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    SPMS 2010 Stochastic and Physical Monitoring Systems

  • ISBN

    978-80-01-04641-8

  • ISSN

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

  • Publisher name

    ČVUT

  • Place of publication

    Praha

  • Event location

    Děčín

  • Event date

    Jun 27, 2010

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article