Optimal approximate conversion of spline curves and spline approximation of offset curves
β Scribed by J. Hoschek; N. Wissel
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 542 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0010-4485
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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}\
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