Boundary-valued shape-preserving interpolating splines
- 1 June 1997
- journal article
- Published by Association for Computing Machinery (ACM) in ACM Transactions on Mathematical Software
- Vol. 23 (2) , 229-251
- https://doi.org/10.1145/264029.264050
Abstract
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.Keywords
This publication has 29 references indexed in Scilit:
- Algorithm 770: BVSPIS—a package for computing boundary-valued shape-preserving interpolating splinesACM Transactions on Mathematical Software, 1997
- Point and tangent computation of tensor product rational Bézier surfacesComputer Aided Geometric Design, 1995
- Approximation and interpolation by convexity-preserving rational splinesConstructive Approximation, 1994
- A local scheme for bivariate co-monotone interpolationComputer Aided Geometric Design, 1991
- Algorithm 697ACM Transactions on Mathematical Software, 1991
- Positive interpolation with rational splinesBIT Numerical Mathematics, 1989
- A survey of curve and surface methods in CAGDComputer Aided Geometric Design, 1984
- An Algorithm for Computing a Shape-Preserving Osculatory Quadratic SplineACM Transactions on Mathematical Software, 1981
- Algorithm 574: Shape-Preserving Osculatory Quadratic Splines [E1, E2]ACM Transactions on Mathematical Software, 1981
- Algorithm 476: Six subprograms for curve fitting using splines under tension [E2]Communications of the ACM, 1974