Abstract
A class of quasi-Hermite base function is established in space Γ = {1, t, sin t, cos t, cos 2t}. The corresponding quasi-Hermite curves with a shape parameter α are defined by the introduced base function. The curves can easily be adjusted by using the shape parameter α. With the parameter chosen properly, the defined curves can precisely be used to represent straight line segment, circular arcs, elliptic arcs, cycloid, sine and cosine curves. And quasi-Coons surface is defined by quasi-Hermite base function in stand of Hermite base function. At last, the quasi-bicubic Coons surfaces is discussed especially, and the surfaces can represent spherical surfaces, ellipsoid, cylinder, anchor ring and circular conical surface exactly.
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