Canal surfaces with rational contour curves and blends bypassing the obstacles

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Canal surfaces with rational contour curves and blends bypassing the obstacles

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Canal surfaces with rational contour curves and blends bypassing the obstacles

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/EE2.3.30.0038" target="_blank" >EE2.3.30.0038: Nová excelence lidských zdrojů</a><br>

Návaznosti

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

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

COMPUTER-AIDED DESIGN

ISSN

0010-4485

e-ISSN

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Svazek periodika

64

Číslo periodika v rámci svazku

July

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

13

Strana od-do

55-67

Kód UT WoS článku

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EID výsledku v databázi Scopus

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