Robert J. Renka
Abstract
TSPACK is a curve-fitting package based on exponential tension splines with automatic selection of tension factors. It serves both as a method for data fitting with preservation of shape properties or more general constraints, and as a means of computer aided geometric design of curves in two or three dimensions. The package is based on a translation of Algorithm 716 from Fortran 77 into MATLAB. The translation includes bug corrections, vectorization where possible, and extensions, including a B-spline representation, designed to facilitate curve design as opposed to data fitting. An interactive graphical user interface, not part of the algorithm, is available from the author.
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Software for TSPACK: tension spline package for curve design and data fitting
- Kaklis, P. D. and Karavelas, M. I. 1997. Shape-preserving interpolation in R3. IMA J. Numer. Anal. 17, 373--419.Google Scholar
Cross Ref
- Koch, P. E. and Lyche, T. 1989. Exponential B-splines in tension. In Approximation Theory VI, C. K. Chui, L. L. Schumaker and J. D. Ward, Eds. Academic Press, New York, 361--364.Google Scholar
- Renka, R. J. 1987. Interpolatory tension splines with automatic selection of tension factors. SIAM J. Sci. Stat. Comput. 8, 3 (May), 393--415. Google ScholarDigital Library
- Renka, R. J. 1993. Algorithm 716. TSPACK: Tension spline curve-fitting package. ACM Trans. Math. Softw. 19, 1 (Mar.), 81--94. Google ScholarDigital Library
- Schweikert, D. G. 1966. An interpolation curve using a spline in tension. J. Math. Phys. 45, 312--317.Google ScholarCross Ref
Index Terms
- Algorithm 893: TSPACK: tension spline package for curve design and data fitting
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Remark on Algorithm 716
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Algorithm 716: TSPACK: tension spline curve-fitting package
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