desc.geometry.FourierPlanarCurve.compute_frenet_frame

FourierPlanarCurve.compute_frenet_frame(center=None, normal=None, r_n=None, grid=None, basis='xyz')[source]

Compute Frenet frame vectors using specified coefficients.

Parameters:

  • center (array-like, shape(3,)) – x,y,z coordinates of center of curve. If not given, defaults to self.center

  • normal (array-like, shape(3,)) – x,y,z components of normal vector to planar surface. If not given, defaults to self.normal

  • r_n (array-like) – fourier coefficients for radius from center as function of polar angle. If not given defaults to self.r_n

  • grid (Grid or array-like) – dependent coordinates to compute at. Defaults to self.grid If an integer, assumes that many linearly spaced points in (0,2pi)

  • basis ({"rpz", "xyz"}) – basis vectors to use for Frenet vector representation

Returns:

T, N, B (ndarrays, shape(k,3)) – tangent, normal, and binormal vectors of the curve at specified grid locations in theta.