Interpolatory tension splines with automatic selection of tension factors
SIAM Journal on Scientific and Statistical Computing
Numerical methods and software
Numerical methods and software
Scalar- and planar-valued curve fitting using splines under tension
Communications of the ACM
Algorithm 752: SRFPACK: software for scattered data fitting with a constrained surface under tension
ACM Transactions on Mathematical Software (TOMS)
Boundary-valued shape-preserving interpolating splines
ACM Transactions on Mathematical Software (TOMS)
ACM Transactions on Mathematical Software (TOMS)
ACM Transactions on Mathematical Software (TOMS)
Local tension methods for bivariate scattered data interpolation
Mathematical Methods for Curves and Surfaces
Locally optimal knots and tension parameters for exponential splines
Journal of Computational and Applied Mathematics
Algorithm 893: TSPACK: tension spline package for curve design and data fitting
ACM Transactions on Mathematical Software (TOMS)
Compression of Video Data Using Parametric Line and Natural Cubic Spline Block Level Approximation
IEICE - Transactions on Information and Systems
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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 construction general planar curves and space curves.