Applications of the Ferguson-Like Curve and Coons-Like Patches

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A kind of Ferguson-like curve and two kinds of Coons-like patches, including the C-Ferguson curve, PC-Coons patch, and HC-Coons patch, are briefly introduced in this paper firstly. And then, some applications of the presented curve and patches are mainly discussed. When the boundary conditions are chosen appropriately, the Ferguson-like curve can exactly represent some conics and transcendental curves, and the two Coons-like patches can exactly represent helicoid and catenoid respectively.
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Ferguson-Like Curve; Coons-Like Patch; Shape Parameter; Application

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