Contour curves and isophotes on rational ruled surfaces

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F18%3A43952056" target="_blank" >RIV/49777513:23520/18:43952056 - isvavai.cz</a>

Výsledek na webu

<a href="https://reader.elsevier.com/reader/sd/pii/S0167839618300785?token=B651C5C37723FC418DA1E27268495BF530228145712709566E2493A9CC1F15D43B9B10BCE5F893BB79BD8DC329F72C58" target="_blank" >https://reader.elsevier.com/reader/sd/pii/S0167839618300785?token=B651C5C37723FC418DA1E27268495BF530228145712709566E2493A9CC1F15D43B9B10BCE5F893BB79BD8DC329F72C58</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cagd.2018.06.006" target="_blank" >10.1016/j.cagd.2018.06.006</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Contour curves and isophotes on rational ruled surfaces

Popis výsledku v původním jazyce

Ruled surfaces, i.e., surfaces generated by a one-parametric set of lines, are widely used in the field of applied geometry. An isophote on a surface is a curve consisting of those surface points whose normals form a constant angle with a fixed vector. Choosing the angle equal to pi/2 we obtain a special instance of the isophote - the so called contour curve. While contours on rational ruled surfaces are rational curves, this is no longer true for the isophotes. Hence we will provide a formula for their genus. Moreover we will show that the only surfaces with a rational generic contour are just the rational ruled surfaces and a particular class of cubic surfaces. In addition we will deal with a reconstruction of ruled surfaces from their silhouettes.

Název v anglickém jazyce

Contour curves and isophotes on rational ruled surfaces

Popis výsledku anglicky

Ruled surfaces, i.e., surfaces generated by a one-parametric set of lines, are widely used in the field of applied geometry. An isophote on a surface is a curve consisting of those surface points whose normals form a constant angle with a fixed vector. Choosing the angle equal to pi/2 we obtain a special instance of the isophote - the so called contour curve. While contours on rational ruled surfaces are rational curves, this is no longer true for the isophotes. Hence we will provide a formula for their genus. Moreover we will show that the only surfaces with a rational generic contour are just the rational ruled surfaces and a particular class of cubic surfaces. In addition we will deal with a reconstruction of ruled surfaces from their silhouettes.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/LO1506" target="_blank" >LO1506: Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost</a><br>

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

COMPUTER AIDED GEOMETRIC DESIGN

ISSN

0167-8396

e-ISSN

—

Svazek periodika

65

Číslo periodika v rámci svazku

OCT 2018

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

12

Strana od-do

1-12

Kód UT WoS článku

000444930100001

EID výsledku v databázi Scopus

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