Pregled bibliografske jedinice broj: 128830
Bezier curves and de Casteljau algorithm
Bezier curves and de Casteljau algorithm // Zbornik radova PrimMath 2003
Zagreb, Hrvatska, 2003. (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), stručni)
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Naslov
Bezier curves and de Casteljau algorithm
Autori
Dudaš, Dorotea ; Marković, Darija
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), stručni
Izvornik
Zbornik radova PrimMath 2003
/ - , 2003
Skup
PrimMath 2003
Mjesto i datum
Zagreb, Hrvatska, 25.09.2003. - 26.09.2003
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Bernstein polynomials; B\'{;e};zier curve; de Casteljau algorithm
Sažetak
We will present some of the basic ideas of Computer Aided Geometric Design (CAGD). It is essential that we can manipulate geometric objects very effectively and rapidly on the computer, i. e. that the entered parameters have a geometric meaning, in other words, that we have an idea of the given curve. For that purpose we will define Bernstein polynomials, present their basic properties and introduce Bezier curves as a representation of a polynomial through the Bernstein basis. We will also demonstrate the de Casteljau algorithm. All programs will be made using software \textit{;Mathematica};. We will use graphic options and animation of the iterative process.
Izvorni jezik
Engleski
Znanstvena područja
Matematika