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The Computer Journal 1981 24(3):271-277; doi:10.1093/comjnl/24.3.271
© 1981 by British Computer Society
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TRANSPLINE—A system for representing curves using transformations among four spline formulations

B. A. Barsky1 * and S. W. Thomas2

1 Computer Science Division, Department of Electrical Engineering and Computer Science, University of California, Berkeley, USA, 2 Department of Computer Science, University of Utah, Salt Lake City, USA

Various techniques of curve representation have been developed and each has properties that make it more appropriate in certain situations than in others. Thus, it is very beneficial to be able to transform between formulations in order to invoke the one which is best suited to any particular instance. This concept has been applied to a set of four parametric spline curve formulations and is demonstrated in the TRANSPLINE interactive curve representation system. The available formulations are the interpolatory spline, uniform B-spline, spline under tension, and {nu}-spline. The mathematical theory of each formulation is briefly reviewed, the transformations between them are derived, and the system implementation is described.

Received August 1980.

* Present address: Computer Science Division, Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, California 94720, USA.

§ Department of Computer Science, University of Utah, Salt Lake City, Utah 84112, USA


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