A
frame is a local coordinate system that may change along a space curve.
The
t, n, and
b
vectors are mutually orthogonal, kind of like the
x,
y, and
z
axes. However, unlike the
xyz
axes, the
tnb
frame changes along the space curve. The
n and
b
vectors specify the plane orthogonal to
t.
A
TNB frame is also known as a
Frenet
frame.
When
t,
n,
b are
normalised and mutually orthogonal,
they are said to form an
orthonormal basis
spanning 3D space.