Cu rvatu re-co nti n uous extensions for rational B-spline curves and surfaces
Offsets of curves on rational B-spline surfaces
β Scribed by N. M. Patrikalakis; L. Bardis
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 646 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0177-0667
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
Conversion methods are required for the exchange of data. First a given rational B-spline surface with curved boundaries will be segmented by curvature oriented arguments, then these patches will be converted into bicubic or biquintic integral B4zier patches with help of geometric continuity conditi
Curves on surfaces are important elements in computer aided geometric design. After presenting a method to explicitly compute these curves in three-dimensions, practical algorithmic issues are discussed concerning the efficiency of the implementation. Good approximations are important because of the