Wyniki wyszukiwania - Biblioteka Nauki

Ten serwis zostanie wyłączony 2025-02-11.

Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Hermite interpolation

Sortuj według:

Ogranicz wyniki do:

Closed-form expressions for the approximation of arclength parameterization for Bezier curves

100%

Madi M.

2004

tom Vol. 14, no 1

33-41

In applications such as CNC machining, highway and railway design, manufacturing industry and animation, there is a need to systematically generate sets of reference points with prescribed arclengths along parametric curves, with sufficient accuracy and real-time performance. Thus, mechanisms to produce a parameter set that yields the coordinates of the reference points along the curve Q(t) = {x(t), y(t)} are sought. Arclength parameterizable expressions usually yield a parameter set that is necessary to generate reference points. However, for typical design curves, such expressions are not often available in closed form. It is thus desirable to find efficient ways to compensate for this lack of arclength parameterization. In this paper, several methods for approximating arclength parameterizations are studied. These methods are examined for both accuracy and real-time processing requirements. The application of generating reference points uniformly spaced along the paths of several curves is chosen for the illustration and comparison between the presented methods.

Calculation of reflector profile using Hermite interpolation

100%

Wandachowicz K.

tom No. 62

161-169

A computational design optimisation process is used to generate luminaire reflector geometry that achieves a set luminous intensity distribution. Reflector profile is calculated using polynomial interpolation. The shape-preserving Hermite interpolation is discussed and compared with other piecewise cubic interpolation. The direct search optimisation strategy is used and compared with the analytical solution to the problem.