Geometric Hermite interpolation with maximal orderand smoothness
نویسندگان
چکیده
We conjecture that splines of degree n can interpolate points on a smooth curve in R m with order of contact k ? 1 = n ? 1 + b(n ? 1)=(m ? 1)c at every n-th knot. Moreover, this Geometric Hermite Interpolant (GHI) has the optimal approximation order k + 1. We give a proof of this conjecture for planar quadratic spline curves and describe a simple construction of curvature continuous quadratic splines from control polygons.
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عنوان ژورنال:
- Computer Aided Geometric Design
دوره 13 شماره
صفحات -
تاریخ انتشار 1996