In [11, 13] we introduced a basis of B-splines for the exponential splines in tension considered by Schweikert already in 1966. For interpolation with these ...
For interpolation with these basis functions we give a necessary and sufficient condition for the existence of a unique interpolant. We consider bicubic ...
Adding tension to the spline overcomes this deficiency. Here, we derive a technique for interpolation and gridding in one, two, and three dimensions using ...
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Dec 1, 2014 · The basic idea is to blend a cubic B-spline curve with a singularly parametrized sequence of connected line segments. A global slackness ...
Nov 23, 2021 · There are some "spline under tension" curves that use exponential functions (hyperbolic sines and cosines, actually).
Contents. Geometric modelling. Interpolation with exponential B-splines in tension. Pages 173 - 190. PREVIOUS ARTICLE. Composition of tensor product Be´zier ...
It is shown that the exponential splines in tension, as a function of the tension parameter, bridging the gap between linear and cubic B-Spline interpolation.
In [II, 13] we introduced a basis of B-splines for the exponential splines in tension considered by Schweikert already in 1966. For interpolation with these ...
Abstract: In this paper, exponential B-spline trajectories are presented and discussed. They are generated by means of a chain of filters characterized by a ...
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What is a tension spline?
Tension can be applied to cubic splines in order to avoid undesired spurious oscillations. This leads to the well-known (exponential) spline in tension.