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On Canal Surfaces with Polynomial MATs and Rational Contour Curves

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F13%3A43920134" target="_blank" >RIV/49777513:23520/13:43920134 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Canal Surfaces with Polynomial MATs and Rational Contour Curves

  • Original language description

    In this paper, we will study a condition which guarantees that a given canal surface with polynomial MAT (medial axis transform) has rational contour curves with respect to some chosen direction. These curves can be then used for a computation of rational parameterizations providing rational offsets. A discussion of the simplest cases (linear, quadratic and cubic medial axis transforms) is given and geometrically interpreted.

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/TA03011157" target="_blank" >TA03011157: Innovative techniques for improving utility qualities of water turbines with the help of shape optimization based on modern methods of geometric modeling</a><br>

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2013

  • Confidentiality

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