Displaying similar documents to “Approximate implicitization of parametric curves using cubic algebraic splines.”

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

Mohsen Madi (2004)

International Journal of Applied Mathematics and Computer Science

Similarity:

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...

Interactive 3D Visualization of Bézier Curves using Java Open Graphics Library (JOGL)

Vlachkova, Krassimira, Boikova, Marina (2011)

Serdica Journal of Computing

Similarity:

We present a new program tool for interactive 3D visualization of some fundamental algorithms for representation and manipulation of Bézier curves. The program tool has an option for demonstration of one of their most important applications - in graphic design for creating letters by means of cubic Bézier curves. We use Java applet and JOGL as our main visualization techniques. This choice ensures the platform independency of the created applet and contributes to the realistic 3D visualization....

Relation between algebraic and geometric view on NURBS tensor product surfaces

Dalibor Martišek, Jana Procházková (2010)

Applications of Mathematics

Similarity:

NURBS (Non-Uniform Rational B-Splines) belong to special approximation curves and surfaces which are described by control points with weights and B-spline basis functions. They are often used in modern areas of computer graphics as free-form modelling, modelling of processes. In literature, NURBS surfaces are often called tensor product surfaces. In this article we try to explain the relationship between the classic algebraic point of view and the practical geometrical application on...