Tangent space(切线空间)

最新推荐文章于 2025-06-21 01:44:29 发布

转载最新推荐文章于 2025-06-21 01:44:29 发布 · 403 阅读

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原文链接：http://www.cnblogs.com/alps/p/7112689.html

本文介绍了Frenet-Serret公式的基本概念及其应用，详细阐述了曲线上的切线(T)、主法线(N)及副法线(B)单位向量的定义与计算方法，并探讨了这些向量在三维空间中的作用。此外，还讨论了切线空间中T、B与贴图U、V方向的一致性。

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https://en.wikipedia.org/wiki/Frenet%E2%80%93Serret_formulas

The tangent, normal, and binormal unit vectors, often called T, N, and B, or collectively the Frenet–Serret frame or TNB frame, together form an orthonormal basis spanning ℝ³ and are defined as follows:

T is the unit vector tangent to the curve, pointing in the direction of motion.
N is the normal unit vector, the derivative of T with respect to the arclength parameter of the curve, divided by its length.
B is the binormal unit vector, the cross product of T and N.