Local control of interval tension using weighted splines
Computer Aided Geometric Design
Shape preserving interpolation by curvature continuous parametric curves
Computer Aided Geometric Design
Generating the Be´zier points of a &bgr;-spline curve
Computer Aided Geometric Design
On the choice of parameters in shape-preserving quadratic spline interpolation
Journal of Computational and Applied Mathematics
Changes in Surface Convexity and Topology Caused by Distortions of Stereoscopic Visual Space
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
Shape preserving spline interpolation
Computer-Aided Design
Data visualization using rational spline interpolation
Journal of Computational and Applied Mathematics
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A rational cubic spline, a kind of smooth interpolator with cubic denominator, is constructed using function values and first derivatives of a function. In order to meet the needs of practical design, a new method of value control, inflection-point control and convexity control of the interpolation at a point is employed to control the shapes of curves. The advantage of this method is that it can be used to modify the local shape of an interpolating curve simply through the selection of suitable parameters, and numerical examples are presented to show the performance of the method. Also when the interpolated function f(t) is in C^2[t"0,t"n], the error estimate of this interpolation is obtained.