Horst Nowacki

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This paper describes the process of constructing a fair, open or closed <i>C</i><sup>1</sup> surface over a given irregular curve mesh. The input to the surface construction consists of point and/or curve data which are individually marked to be interpolated or approximated and are arranged according to an arbitrary irregular curve mesh topology. The(More)
Let R ( t ) = [ x ( t ) y(t) z(t)] T denote a parametric curve where the parameter t represents the normalized arc length. This curve is to meet a set of interpolating conditions at given knots ti in the interval [0, 1]. It is well known that this problem may be solved by cubic spline interpolation, achieving continuous curvature, and that the cubic spline,(More)