AbstractTwo approaches to constructing piecewise rational curves are compared and contrasted. One involves projecting a piecewise polynomial curve whose polynomial segments are joined according to given totally positive connection matrices. The other, which is discussed in more detail, constructs the Bézier points of the rational segments by successively cutting corners of a given control polygon. The smoothness and total positivity properties of the resulting curves are also discussed
We use a combination of both algebraic and numerical techniques to construct a C 1_ continuous, piec...
It has been recently proved that rational quadratic circles in standard Bezier form are parameterize...
In this study a piecewise rational function S ∈ C2[a, b] with cubic numerator and linear denominator...
For many years, long, thin strips of wood or some other material have been used by draftsmen to fair...
A model for computing the weights of the control vertices of a rational curve with respect to the co...
A piecewise rational cubic spline curve has been described. The designed curve possesses parameters ...
AbstractWe analyze convexity preserving properties of curves from a geometric point of view. We also...
We have proposed and implemented a new method for constructing a spline curve of third degree, which...
National audienceModelling polynomial curves or arcs with Bezier curves can be seen as a basis conve...
In computer graphics one often needs to convert a given Bézier curve to a polygon (i.e., to a sequen...
A scheme for generating plane curves which interpolates given data is described. A curve is obtained...
A methodology for the construction of rational curves with rational arc length functions, by direct ...
The paper presents a technique for construction of Cn interpolating rational Bйzier spline curves by...
A basic technique for designing curved shapes in the plane is interpolating splines. The designer in...
AbstractThis paper studies shapes (curves and surfaces) which can be described by (piecewise) polyno...
We use a combination of both algebraic and numerical techniques to construct a C 1_ continuous, piec...
It has been recently proved that rational quadratic circles in standard Bezier form are parameterize...
In this study a piecewise rational function S ∈ C2[a, b] with cubic numerator and linear denominator...
For many years, long, thin strips of wood or some other material have been used by draftsmen to fair...
A model for computing the weights of the control vertices of a rational curve with respect to the co...
A piecewise rational cubic spline curve has been described. The designed curve possesses parameters ...
AbstractWe analyze convexity preserving properties of curves from a geometric point of view. We also...
We have proposed and implemented a new method for constructing a spline curve of third degree, which...
National audienceModelling polynomial curves or arcs with Bezier curves can be seen as a basis conve...
In computer graphics one often needs to convert a given Bézier curve to a polygon (i.e., to a sequen...
A scheme for generating plane curves which interpolates given data is described. A curve is obtained...
A methodology for the construction of rational curves with rational arc length functions, by direct ...
The paper presents a technique for construction of Cn interpolating rational Bйzier spline curves by...
A basic technique for designing curved shapes in the plane is interpolating splines. The designer in...
AbstractThis paper studies shapes (curves and surfaces) which can be described by (piecewise) polyno...
We use a combination of both algebraic and numerical techniques to construct a C 1_ continuous, piec...
It has been recently proved that rational quadratic circles in standard Bezier form are parameterize...
In this study a piecewise rational function S ∈ C2[a, b] with cubic numerator and linear denominator...
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