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Spline approximation of offset curves

✍ Scribed by Josef Hoschek


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
405 KB
Volume
5
Category
Article
ISSN
0167-8396

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πŸ“œ SIMILAR VOLUMES


Offset curves of clothoidal splines
✍ D.S. Meek; D.J. Walton πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 216 KB

Offset curves are important in some aspects of computeraided design. Several authors have studied, and found, approximations to offset curves of cubic B-splines. Curves made of segments of clothoid spirals, arcs of circles, and straight line segments are used as centre lines of railways and highways

Offset approximation of uniform B-spline
✍ B. Pham πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 221 KB

A simple and efficient method is developed for generating oftset curves interactively using a set ot control knots for a uniform cubic B-spline. ## geometry, curves, oEsets The construction of offset curves has many applications in industry. For example, it can be used in the numerical control of

An offset spline approximation for plane
✍ Reinhold Klass πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 157 KB

A plene cubic spline segment is given. We wont to epproximote Its offset line by another cubic spline segment. Therefore we take the known curvotures end tangents ot the endpoints of the offset line end colculete the corresponding spline. Finally examples ore given.

Chebyshev Approximation of Plane Curves
✍ E.F. Eisele πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 552 KB

Given a parametric plane curve \(\mathbf{p}\) and any BΓ©zier curve \(\mathbf{q}\) of degree \(n\) such that \(\mathbf{p}\) and \(q\) have contact of order \(k\) at the common end points, we use the normal vector field of \(\mathbf{p}\) to measure the distance of corresponding points of \(\mathbf{p}\