منابع مشابه
Constructing parametric quadratic curves
Constructing a parametric spline curve to pass through a set of data points requires assigning a knot to each data point. In this paper we discuss the construction of parametric quadratic splines and present a method to assign knots to a set of planar data points. The assigned knots are invariant under a ne transformations of the data points, and can be used to construct a parametric quadratic ...
متن کاملConstructing G1 quadratic Bézier curves with arbitrary endpoint tangent vectors
Quadratice Bézier curves are important geometric entities in many applications. However, it was often ignored by the literature the fact that a single segment of a quadratic Bézier curve may fail to fit arbitrary endpoint unit tangent vectors. The purpose of this paper is to provide a solution to this problem, i.e., constructing G quadratic Bézier curves satisfying given endpoint (positions and...
متن کاملConstructing G quadratic Bézier curves with arbitrary endpoint tangent vectors
Quadratic Bézier curves are important geometric entities in many applications. However, it was often ignored by the literature the fact that a single segment of a quadratic Bézier curve may fail to fit arbitrary endpoint unit tangent vectors. The purpose of this paper is to provide a solution to this problem, i.e., constructing G quadratic Bézier curves satisfying given endpoint (positions and ...
متن کاملApproximate Implicitization of Planar Parametric Curves using Quadratic Splines
A quadratic Bézier spline with G-continuity is given to approximate a planar parametric curve. In its construction, the parametric curve is first divided into several segments. A rational quadratic Bézier curve is then applied to approximate each segment and recursive subdivision for the segment may be used if the approximation error is out of the given range. With this method, we not only keep...
متن کاملParametric Curves
(x, y) (x0, y0) (vx, vy) As shown on the left, the vector from p to a point (x, y) on the line must be either in the direction of (vx, vy) or in its opposite direction. Hence, the cross product of the two vectors must be zero, that is, (x− x0, y − y0)× (vx, vy) = 0. Expansion of the above cross product yields an implicit equation of the line that relates the x and y coordinates of every inciden...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1999
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(98)00206-4