Abstract
In the present work the theory of optimal control is introduced as a new approach for handling curve fitting and design problems. Optimal control provides a uniform formal frame for stating and solving multiple problems in CAGD. As a result new classes of curves are defined and known problems are analyzed from a new viewpoint. Often families of curves which are defined by a minimization problem relay on parameters. Such problems are an appropriate base for handling curve fitting and design by optimal control methods. The methods suit a wide variety of problems. It is demonstrated on three applications of curve fitting and design: smoothing v-splines, smoothing interpolating splines, and approximating curves. All the applications are treated and solved using the uniform frame. The solution technique is based on the relaxation method.
| Original language | English |
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| Pages | 108-113 |
| Number of pages | 6 |
| State | Published - 1998 |
| Event | Proceedings of the 1998 International Conference on Information Visualization, IV - London, UK Duration: 29 Jul 1998 → 31 Jul 1998 |
Conference
| Conference | Proceedings of the 1998 International Conference on Information Visualization, IV |
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| City | London, UK |
| Period | 29/07/98 → 31/07/98 |