We describe a new method for approximating an implicit surface F by a piecewise‐flat triangulated surface whose triangles are as close as possible to equilateral. The main advantage is improved mesh quality which is guaranteed for smooth surfaces. The GradNormal algorithm generates a triangular mesh that gives a piecewise‐differentiable approximation of F, with angles between 35.2 and 101.5 degrees. As the mesh size approaches 0, the mesh converges to F through surfaces that are isotopic to F.

中文翻译：

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通过保证质量的三角形网格逼近等值面

我们描述了一种新方法，用于通过三角形尽可能接近等边的分段平面三角曲面来逼近隐式曲面 F。主要优点是提高了网格质量，从而保证了光滑的表面。GradNormal 算法生成三角形网格，该网格给出 F 的分段可微近似，角度介于 35.2 和 101.5 度之间。当网格大小接近 0 时，网格通过与 F 同位素的表面收敛到 F。