Curve representation became necessary in graphics technology for the purposes of mechanical engineering largely during the 1950s and ’60s. In 1962, an engineer by the name of Pierre Bézier (working for the Renault car company) published research that led to significant enhancements in computer-aide...
NonUniform Rational B-Splines (NURBS) are the standard for describing and modeling curves and surfaces in computer-aided design and computer graphics. These are used to model everything from automobile bodies and ship hulls to animated characters in feature-length films. Curves and surfaces are mat...
The monomial form from above is one representation, however, it does not provide the most geometrically intuitive interpretation.4A better formulation comes with the Bernstein basis functions as the building block for Bézier curves. Figure 4.1, right, illustrates the curve in quadratic Bézier form....
An approach to Thai decorative pattern recognition using Bezier curve representation with progressive iterative approximation. In: Proceedings of 10th international... S Senawongsa,N Dejdumrong - IEEE Computer Society 被引量: 4发表: 2013年 Interactive curve drawing by segmented Bezier approximation with...
A Formal Definition for the Expressive Power of Terminological Knowledge Representation Languages The notions 'expressive power' or 'expressiveness' of knowledge representation languages (KR languages) can be found in most papers on knowledge representa... FRANZ,BAADER - 《J Logic Computation》 被引量...
If a damping responsible for the decreasing amplitude is present in a nonlinear system, the traditional backbone transforms from a point into a smooth curve. Some typical nonlinear examples of a backbone representation are shown in Fig. 20. In a linear system stiffness characteristic do not change...
The parametric curve is a widely used primitive in computer graphics. This chapter discusses the problem of finding a suitable polyline representation for the curve. A common algorithm for generating a polyline close to a curve is to calculate the maximum distance from the curve to the line ...
The curve-skeleton is a one-dimensional (1D) abstraction of a three-dimensional (3D) object, consisting of a set of curves embedded in 3D space. As a reduced representation, it is useful in many visualization, computer graphics and computer vision tasks, such as: virtual navigation, reduced-...
important role in image analysis such as corner detection, 1D shape representation and shape signature in the Generalized Hough Transform. Instead of using the discrete measurement approach, the least-squares method is employed to fit known digital points to two cubic polynomial functions, one with ...
Since computer screens display graphics using pixels, Bézier curves are always approximated when displayed on a screen. If you zoom in on a Bézier curve using a drawing program or CAD software, you will see a more accurate representation of the path....