The primary purpose of TSPACK is to construct a smooth function which interpolates a discrete set of data points. The function may be required to have either one or two continuous derivatives. If the accuracy of the data does not warrant interpolation, a smoothing function (which does not pass through the data points) may be constructed instead. The fitting method is designed to avoid extraneous inflection points (associated with rapidly varying data values) and preserve local shape properties of the data (monotonicity and convexity), or to satisfy the more general constraints of bounds on function values or first derivatives. The package also provides a parametric representation for constructing general planar curves and space curves.

References in zbMATH (referenced in 16 articles , 1 standard article )

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