Abstract
Implicit curves and surfaces are extensively used in interpolation, approximation and blending. [Li J, Hoschek J, Hartmann E. G n − 1 -functional splines for interpolation and approximation of curves, surfaces and solids. Computer Aided Geometric Design 1990;7:209–20] presented a functional method for constructing G n − 1 curves and surfaces which are called functional splines. In this paper, functional splines with different degrees of smoothness are presented and applied to some typical problems.
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