Planar G2 transition curves composed of cubic Bézier spiral segments
| Autor: | Dereck S. Meek, J. M. Ali, D. J. Walton |
|---|---|
| Rok vydání: | 2003 |
| Předmět: |
Surface (mathematics)
0209 industrial biotechnology Degree (graph theory) Applied Mathematics 020207 software engineering Bézier curve Geometry 02 engineering and technology Curvature extrema Curvature Cubic Bézier French curve Computational Mathematics Computer Science::Graphics 020901 industrial engineering & automation Planar Inflection point 0202 electrical engineering electronic engineering information engineering Fair curve Spiral Mathematics |
| Zdroj: | Journal of Computational and Applied Mathematics. 157:453-476 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/s0377-0427(03)00435-7 |
| Popis: | In curve and surface design it is often desirable to have a planar transition curve, composed of at most two spiral segments, between two circles. The purpose may be practical, e.g., in highway design, or aesthetic. Cubic Bézier curves are commonly used in curve and surface design because they are of low degree, are easily evaluated, and allow inflection points. This paper generalizes earlier results on planar cubic Bézier spiral segments which were proposed as transition curve elements, and examines techniques for curve design using the new results. |
| Databáze: | OpenAIRE |
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