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    • 1. 发明授权
    • Computer-implemented method of design of surfaces defined by guiding curves
    • 由引导曲线定义的表面设计计算机实现方法
    • US08332189B2
    • 2012-12-11
    • US12488039
    • 2009-06-19
    • Jean-Francois RameauJean SalouxPascal SebahDavid BonnerMichael Frey
    • Jean-Francois RameauJean SalouxPascal SebahDavid BonnerMichael Frey
    • G06F7/60G06F17/10G06F19/00G06T11/20
    • G06F17/50G06F2217/06G06F2217/08G06T17/30
    • 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.
    • 计算机实现的格式表面设计方法可以包括访问定义引导曲线P(u)和Q(v)的数据和成本函数ƒ(t,w)的步骤。 给定P(u)和Q(v),未知耦合是参数化曲线s(t(s),w(s))。 该方法还包括定义J = J(f,t,w)的目标函数,其涉及耦合曲线的f(t,w)和坐标t,w。 然后,优化目标函数J可以获得目标耦合曲线。 最后,根据引导曲线P(t(s))和Q(t(s)),提供刻划面S(s,λ)=λQ(w(s))+(1-λ) w(s)),由以前获得的耦合曲线的坐标t,w组成。 另外,在优化步骤中进一步约束目标函数,使得成本函数ƒ(t,w)的自变量t,w由调节函数μ调节。
    • 2. 发明申请
    • COMPUTER-IMPLEMENTED METHOD OF DESIGN OF SURFACES DEFINED BY GUIDING CURVES
    • 引导曲线定义的计算机实现设计方法
    • US20100004770A1
    • 2010-01-07
    • US12488039
    • 2009-06-19
    • Jean-Francois RameauJean SalouxPascal SebahDavid BonnerMichael Frey
    • Jean-Francois RameauJean SalouxPascal SebahDavid BonnerMichael Frey
    • G06F19/00
    • G06F17/50G06F2217/06G06F2217/08G06T17/30
    • The invention relates to a method of design of ruled surfaces. The method comprises the step of accessing data defining guiding curves P(u) and Q(v) and a cost function f(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(f, t, w), involving both f(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)=Q(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. The objective function is further constrained at the optimization step such that arguments t, w of the cost function f(t, w) are regulated by a regulation function μ. The invention generalizes to any surface defined by guiding curves and further concerns a computerized system and a computer program product comprising means adapted for implementing the method of the invention.
    • 本发明涉及一种设计格状表面的方法。 该方法包括访问定义引导曲线P(u)和Q(v)的数据和成本函数f(t,w)的步骤。 给定P(u)和Q(v),未知耦合是参数化曲线s (t(s),w(s))。 该方法还包括定义涉及f(t,w)和耦合曲线的坐标t,w的类型J = J(f,t,w)的目标函数。 然后,优化目标函数J可以获得目标耦合曲线。 最后,根据引导曲线P(t(s))和Q(t(s)),提供刻度表面S(s,λ)= Q(w(s))+(1-lambda) w(s)),由以前获得的耦合曲线的坐标t,w组成。 在优化步骤中进一步约束目标函数,使得成本函数f(t,w)的参数t,w由调节函数mu来调节。 本发明概括到由引导曲线限定的任何表面,并且还涉及包括适于实现本发明的方法的装置的计算机化系统和计算机程序产品。