Algorithm 893: TSPACK: tension spline package for curve design and data fitting. 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.

References in zbMATH (referenced in 18 articles , 2 standard articles )

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  1. Bertolazzi, Enrico; Frego, Marco; Biral, Francesco: Point data reconstruction and smoothing using cubic splines and clusterization (2020)
  2. Knowles, Ian; Renka, Robert J.: Methods for numerical differentiation of noisy data (2014)
  3. Parreño, F.; Alvarez-Valdes, R.; Oliveira, J. F.; Tamarit, J. M.: A hybrid GRASP/VND algorithm for two- and three-dimensional bin packing (2010)
  4. Renka, Robert J.: Algorithm 893: TSPACK: tension spline package for curve design and data fitting (2009)
  5. Attanasio, Andrea; Fuduli, Antonio; Ghiani, Gianpaolo; Triki, Chefi: Integrated shipment dispatching and packing problems: a case study (2007)
  6. Bosner, Tina; Rogina, Mladen: Non-uniform exponential tension splines (2007)
  7. Teanby, Nicholas A.: Constrained smoothing of noisy data using splines in tension (2007)
  8. Riedel, Karl O.: Locally optimal knots and tension parameters for exponential splines (2006)
  9. Lodi, Andrea; Martello, Silvano; Vigo, Daniele: TSpack: A unified tabu search code for multi-dimensional bin packing problems (2004)
  10. Manni, Carla: Local tension methods for bivariate scattered data interpolation (2001)
  11. Renka, Robert J.: Remark on algorithm 752 (1999)
  12. Testa, Frank J.; Renka, Robert J.: Remark on algorithm 716 (1999)
  13. Costantini, P.: Boundary-valued shape-preserving interpolating splines (1997)
  14. Prvan, T.: Smoothing splines with variable continuity properties and degree (1997)
  15. Renka, Robert J.: Algorithm 773: SSRFPACK: Interpolation of scattered data on the surface of a sphere with a surface under tension (1997)
  16. Costantini, Paolo; Manni, Carla: On a class of polynomial triangular macro-elements (1996)
  17. Renka, R. J.: Algorithm 752: SRFPACK: Software for scattered data fitting with a constrained surface under tension (1996)
  18. Renka, R. J.: Algorithm 716: TSPACK: Tension spline curve-fitting package (1993)