Add to ORKG© Copyright © 2020 Yang, Yang, Liu and Geng. Quadratic rational Bézier curve transformation is widely used in the field of computational geometry. In this paper, we offer several important characteristics of the quadratic rational Bézier curve. More precisely, on the basis of proving its monotonicity, the necessary and sufficient conditions for transforming a quadratic rational Bézier curve into a point, line segment, parabola, elliptic arc, circular arc, and hyperbola are proved, respectively
The parameterization of rational Bezier surfaces greatly affects rendering and tessellation results....
It has been recently proved that rational quadratic circles in standard Bezier form are parameterize...
AbstractA new formulation for the representation and designing of curves and surfaces is presented. ...
© Copyright © 2020 Yang, Yang, Liu and Geng. Quadratic rational Bézier curve transformation is widel...
A quadratic Bézier representation withholds a curve segment with free from loops, cusps and inflecti...
AbstractWe find necessary and sufficient conditions for the curvature of a quadratic rational Bézier...
AbstractConic section is one of the geometric elements most commonly used for shape expression and m...
The paper describes a concept of induced rational parametrisation for curves. Parametrisations of cu...
In this paper, properties and algorithms of q-Bézier curves and surfaces are analyzed. It is proven ...
Visualization of Bézier curve and its generalization in q-calculus. The Bézier curve, introduced by ...
National audienceModelling polynomial curves or arcs with Bezier curves can be seen as a basis conve...
We construct a rational quadratic trigonometric Bézier curve with four shape parameters by intr...
In this thesis, we consider isoparametric curves of quadratic F-Bézier curves. F-Bézier curves unify...
International audienceWe present an intuitive algorithm for providing quadric surface design element...
It is frequently important to approximate a rational Bézier curve by an integral, i.e., polynomial ...
The parameterization of rational Bezier surfaces greatly affects rendering and tessellation results....
It has been recently proved that rational quadratic circles in standard Bezier form are parameterize...
AbstractA new formulation for the representation and designing of curves and surfaces is presented. ...
© Copyright © 2020 Yang, Yang, Liu and Geng. Quadratic rational Bézier curve transformation is widel...
A quadratic Bézier representation withholds a curve segment with free from loops, cusps and inflecti...
AbstractWe find necessary and sufficient conditions for the curvature of a quadratic rational Bézier...
AbstractConic section is one of the geometric elements most commonly used for shape expression and m...
The paper describes a concept of induced rational parametrisation for curves. Parametrisations of cu...
In this paper, properties and algorithms of q-Bézier curves and surfaces are analyzed. It is proven ...
Visualization of Bézier curve and its generalization in q-calculus. The Bézier curve, introduced by ...
National audienceModelling polynomial curves or arcs with Bezier curves can be seen as a basis conve...
We construct a rational quadratic trigonometric Bézier curve with four shape parameters by intr...
In this thesis, we consider isoparametric curves of quadratic F-Bézier curves. F-Bézier curves unify...
International audienceWe present an intuitive algorithm for providing quadric surface design element...
It is frequently important to approximate a rational Bézier curve by an integral, i.e., polynomial ...
The parameterization of rational Bezier surfaces greatly affects rendering and tessellation results....
It has been recently proved that rational quadratic circles in standard Bezier form are parameterize...
AbstractA new formulation for the representation and designing of curves and surfaces is presented. ...