Derivative generation from multivariate scattered data by functional minimization
Computer Aided Geometric Design
On monotone and convex spline interpolation
Mathematics of Computation
Algorithm 677 C1 surface interpolation
ACM Transactions on Mathematical Software (TOMS)
A rational cubic spline with tension
Computer Aided Geometric Design
Scattered data interpolation in three or more variables
Mathematical methods in computer aided geometric design
An algorithm for smooth interpolation to scattered data in R2
Mathematical methods in computer aided geometric design
Algorithm 716: TSPACK: tension spline curve-fitting package
ACM Transactions on Mathematical Software (TOMS)
Interpolation with exponential B-splines in tension
Geometric modelling
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Interpolation of convex scattered data in R3 based upon edge convex minimum norm network
Journal of Approximation Theory
Local derivative estimation for scattered data interpolation
Applied Mathematics and Computation
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
On a class of polynomial triangular macro-elements
Journal of Computational and Applied Mathematics - Special issue on scattered data
Behaviour of exponential splines as tensions increase without bound
Journal of Approximation Theory
Boundary-valued shape-preserving interpolating splines
ACM Transactions on Mathematical Software (TOMS)
Smooth rational cubic spline interpolation
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
Local and global convexity preservation
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
Comonotone parametric Hermite interpolation
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
Interactive shape preserving interpolation by curvature continuous rational cubic splines
Journal of Computational and Applied Mathematics - Special issue on computational methods in computer graphics
Range restricted interpolation using Gregory's rational cubic splines
Journal of Computational and Applied Mathematics
Subharmonicity and convexity properties of Bernstein polynomials and Bézier nets on triangles
Computer Aided Geometric Design
A local shape-preserving interpolation scheme for scattered data
Computer Aided Geometric Design
C1 Convexity-Preserving Interpolation of Scattered Data
SIAM Journal on Scientific Computing
Algorithms for shape preserving local approximation with automatic selection of tension parameters
Computer Aided Geometric Design
On the convexity of Bézier nets of quadratic Powell—Sabin splines on 12-fold refined triangulations
Journal of Computational and Applied Mathematics - Proceedings of the 8th international congress on computational and applied mathematics
Curve and surface construction using variable degree polynomial splines
Computer Aided Geometric Design
Best data-dependent triangulations
Journal of Computational and Applied Mathematics - Special issue/Dedicated to Prof. Larry L. Schumaker on the occasion of his 60th birthday
A general parametric framework for functional tension schemes
Journal of Computational and Applied Mathematics - Special issue/Dedicated to Prof. Larry L. Schumaker on the occasion of his 60th birthday
Triangular G1 interpolation by 4-splitting domain triangles
Computer Aided Geometric Design
Piecewise optimal triangulation for the approximation of scattered data in the plane
Computer Aided Geometric Design
Piecewise Quadratic Approximations on Triangles
ACM Transactions on Mathematical Software (TOMS)
Scalar- and planar-valued curve fitting using splines under tension
Communications of the ACM
A Parametric Cubic Element with Tension Properties
SIAM Journal on Numerical Analysis
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The paper surveys some local tension methods which can be used for constrained scattered data interpolation. The graphical performances of various methods are compared with the aid of a classical numerical test.