A survey of curve and surface methods in CAGD
Computer Aided Geometric Design
Construction of curves and surfaces using numerical optimization techniques
Computer-Aided Design
Shape preserving spline interpolation
Computer-Aided Design
On monotone and convex spline interpolation
Mathematics of Computation
An algorithm for computing shape-preserving interpolating splines of arbitrary degree
Journal of Computational and Applied Mathematics
Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
Shape-preserving bivariate interpolation
SIAM Journal on Numerical Analysis
Algorithm 697: univariate interpolation that has the accuracy of a third-degree polynomial
ACM Transactions on Mathematical Software (TOMS)
A local scheme for bivariate co-monotone interpolation
Computer Aided Geometric Design
Algorithm 716: TSPACK: tension spline curve-fitting package
ACM Transactions on Mathematical Software (TOMS)
Accurate C2 rational interpolants in tension
SIAM Journal on Numerical Analysis
Accurate monotone cubic interpolation
SIAM Journal on Numerical Analysis
Convexity-preserving interpolatory parametric splines of non-uniform polynomial degree
Computer Aided Geometric Design
Algorithm 770: BVSPIS—a package for computing boundary-valued shape-preserving interpolating splines
ACM Transactions on Mathematical Software (TOMS)
Algorithm 433: interpolation and smooth curve fitting based on local procedures [E2]
Communications of the ACM
An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline
ACM Transactions on Mathematical Software (TOMS)
Algorithm 574: Shape-Preserving Osculatory Quadratic Splines [E1, E2]
ACM Transactions on Mathematical Software (TOMS)
Scalar- and planar-valued curve fitting using splines under tension
Communications of the ACM
Six subprograms for curve fitting using splines under tension
Communications of the ACM
Dynamic Programming
Algorithm 770: BVSPIS—a package for computing boundary-valued shape-preserving interpolating splines
ACM Transactions on Mathematical Software (TOMS)
Local tension methods for bivariate scattered data interpolation
Mathematical Methods for Curves and Surfaces
Constrained control and approximation properties of a rational interpolating curve
Information Sciences: an International Journal
Positivity-preserving interpolation of positive data by rational cubics
Journal of Computational and Applied Mathematics
Data visualization using rational spline interpolation
Journal of Computational and Applied Mathematics
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This article describes a general-purpose method for computing interpolating polynomial splines with arbitrary constraints on their shape and satisfying separable or nonseparable boundary conditions. Examples of applications of the related Fortran code are periodic shape-preserving spline intepolation and the construction of visually pleasing closed curves.