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High accuracy geometric Hermite interpolation   总被引:19,自引:0,他引:19  
We describe a parametric cubic spline interpolation scheme for planar curves which is based on an idea of Sabin for the construction of C1 bicubic parametric spline surfaces. The method is a natural generalization of [standard] Hermite interpolation. In addition to position and tangent, the curvature is prescribed at each knot. This ensures that the resulting interpolating piecewise cubic curve is twice continuously differentiable with respect to arclength and can be constructed locally. Moreover, under appropriate assumptions, the interpolant preserves convexity and is 6-th order accurate.  相似文献
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