# Frenet-Serret frame

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Let $\gamma$ be a regular curve (for convenience, unit speed-parametrized) in $\R^3$. The Frenet-Serret frame or Serret-Frenet frame of $\gamma$ associates, to each point on $\gamma$, an orthonormal basis at that point. The orthonormal basis comprises the followign unit vectors: the unit tangent, the unit normal and the unit binormal.