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
Accurate monotone cubic interpolation
SIAM Journal on Numerical Analysis
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Sharp error bounds for interpolating splines in tension
Journal of Computational and Applied Mathematics
C1 comonotone Hermite interpolation via parametric cubics
Journal of Computational and Applied Mathematics
Behaviour of exponential splines as tensions increase without bound
Journal of Approximation Theory
A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures
Journal of the ACM (JACM)
Algorithms for shape preserving local approximation with automatic selection of tension parameters
Computer Aided Geometric Design
Curve and surface construction using variable degree polynomial splines
Computer Aided Geometric Design
Planar cubic G1 interpolatory splines with small strain energy
Journal of Computational and Applied Mathematics
Interpolation Scheme for Planar Cubic G2 Spline Curves
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
A class of general quartic spline curves with shape parameters
Computer Aided Geometric Design
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The aim of the present paper is to introduce a new method to construct a C3 function which interpolates a given set of data in a shape-preserving way. The resulting function is a parametric quintic curve whose shape is controlled by tension parameters which have a direct geometric meaning.