You can use a parametric representation to map points from a unit square with corners [1, 1], [-1, 1], [-1, -1], [1, -1] onto the Bezier quad by transforming from one coordinate system to the other by calculating the Jacobean from one to the other.
This article shows you how. It's a common thing to do in finite element analysis, because most modern elements are expressed in terms of shape functions in a parametric space. You have to transform from the parametric to element coordinates using the techniques shown in that article.
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您可以使用参数化表示将点从带有角 [1, 1]、[-1, 1]、[-1, -1]、[1, -1] 的单位正方形映射到贝塞尔四边形，方法是从一个通过计算从一个到另一个的雅可比坐标系到另一个坐标系。
本文向您展示了具体操作方法。 这是有限元分析中常见的事情，因为大多数现代元素都是用参数空间中的形状函数来表示的。 您必须使用该文章中介绍的技术从参数坐标转换为元素坐标。
You can use a parametric representation to map points from a unit square with corners [1, 1], [-1, 1], [-1, -1], [1, -1] onto the Bezier quad by transforming from one coordinate system to the other by calculating the Jacobean from one to the other.
This article shows you how. It's a common thing to do in finite element analysis, because most modern elements are expressed in terms of shape functions in a parametric space. You have to transform from the parametric to element coordinates using the techniques shown in that article.