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Canal surfaces with rational contour curves and blends bypassing the obstacles

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43925105" target="_blank" >RIV/49777513:23520/15:43925105 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.cad.2015.03.002" target="_blank" >http://dx.doi.org/10.1016/j.cad.2015.03.002</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.cad.2015.03.002" target="_blank" >10.1016/j.cad.2015.03.002</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Canal surfaces with rational contour curves and blends bypassing the obstacles

  • Original language description

    In this paper, we will present an algebraic condition, see (20), which guarantees that a canal surface, given by its rational medial axis transform (MAT), possesses rational generalized contours (i.e., contour curves with respect to a given viewpoint). The remaining computational problem of this approach is how to find the right viewpoint. The canal surfaces fulfilling this distinguished property are suitable for being taken as modeling primitives when some rational approximations of canal surfaces arerequired. Mainly, we will focus on the low-degree cases such as quadratic and cubic MATs that are especially useful for applications. To document a practical usefulness of the presented approach, we designed and implemented two simple algorithms for computing rational offset blends between two canal surfaces based on the contour method which do not need any further advanced formalism (as e.g. interpolations with MPH curves). A main advantage of the designed blending technique is its simp

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/EE2.3.30.0038" target="_blank" >EE2.3.30.0038: New excellence in human resources</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    COMPUTER-AIDED DESIGN

  • ISSN

    0010-4485

  • e-ISSN

  • Volume of the periodical

    64

  • Issue of the periodical within the volume

    July

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    13

  • Pages from-to

    55-67

  • UT code for WoS article

  • EID of the result in the Scopus database