An offset spline approximation for plane cubic splines
β Scribed by Reinhold Klass
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 157 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0010-4485
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
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
We consider the problem of deriving accurate end conditions for cubic spline interpolation at equally spaced knots. In particular we derive a number of end conditions which lead to derivative approximations of high accuracy.
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}\