Surfaces and their representation and approximation for technical applications

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F09%3A00502479" target="_blank" >RIV/49777513:23520/09:00502479 - isvavai.cz</a>

Výsledek na webu

—

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

Surfaces and their representation and approximation for technical applications

Popis výsledku v původním jazyce

Surfaces have a wide use in technical applications, computer graphics, engineering, CAD systems as well as in many other fields. One of the biggest problems is how to represent or approximate surfaces for these applications. In this paper we show that some of them can be obtained as an envelope surface of a one-parametrical set of surfaces. This set of surfaces can be generated by moving and transforming one surface. Then, the envelope is the boundary of the union of a set of surfaces. We present many examples and pictures. Unfortunately, most of the surfaces used in applications aren't easy to generate in such an exact form; it is necessary to use some approximations. Skin surfaces and approximations by them is a good choice for some problems. We dealbriefly with the theoretical part and then introduce an algorithm for smooth patches generating.

Název v anglickém jazyce

Surfaces and their representation and approximation for technical applications

Popis výsledku anglicky

Surfaces have a wide use in technical applications, computer graphics, engineering, CAD systems as well as in many other fields. One of the biggest problems is how to represent or approximate surfaces for these applications. In this paper we show that some of them can be obtained as an envelope surface of a one-parametrical set of surfaces. This set of surfaces can be generated by moving and transforming one surface. Then, the envelope is the boundary of the union of a set of surfaces. We present many examples and pictures. Unfortunately, most of the surfaces used in applications aren't easy to generate in such an exact form; it is necessary to use some approximations. Skin surfaces and approximations by them is a good choice for some problems. We dealbriefly with the theoretical part and then introduce an algorithm for smooth patches generating.

Druh

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

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2009

Kód důvěrnosti údajů

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

Název periodika

Journal of Interdisciplinary Mathematics

ISSN

0972-0502

e-ISSN

—

Svazek periodika

12

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

IN - Indická republika

Počet stran výsledku

21

Strana od-do

261-281

Kód UT WoS článku

—

EID výsledku v databázi Scopus

—