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Abstract

A computer-implemented method of design of ruled surfaces may comprise the step of accessing data defining guiding curves P(u) and Q(v) and a cost function ƒ(t,w). Given P(u) and Q(v), the unknown coupling is a parameterized curve s(t(s),w(s)). The method further comprises defining an objective function of the type J=J(ƒ,t,w), involving both ƒ(t,w) and coordinates t, w of the coupling curve. Then, optimizing the objective function J makes it possible to obtain the target coupling curve. Finally, a ruled surface S(s,λ)=λQ(w(s))+(1−λ)P(t(s))is provided, according to the guiding curves P(t(s)) and Q(w(s)), composed with the coordinates t,w of the coupling curve previously obtained. In addition, the objective function is further constrained at the optimization step such that arguments t,w of the cost function ƒ(t,w) are regulated by a regulation function μ.

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