How do you convert from cartesian to intrinsic?

Answer 1

The intrinsic equation of a curve is one that uses properties of the curve which do not depend on the location or orientation of the curve relative to some arbitrary origin and axes. It defines the shape of the curve without specifying its position relative to a coordinate system.

The intrinsic quantities used most often are arc length = s , tangential angle = theta , curvature = kappa or radius of curvature, and, for 3-dimensional curves, torsion = tau.

There is, therefore, no simple answer to the question.