Struct FrenetFrame 

pub struct FrenetFrame {
    pub tangent: [f64; 3],
    pub normal: [f64; 3],
    pub binormal: [f64; 3],
}

The Frenet–Serret frame at a point on a curve.

Fields

tangent: [f64; 3]

Unit tangent vector T = C’(t) / |C’(t)|.

normal: [f64; 3]

Unit normal vector N = T’(t) / |T’(t)|.

binormal: [f64; 3]

Binormal vector B = T × N.

Implementations

impl FrenetFrame

pub fn compute( tangent_fn: impl Fn(f64) -> [f64; 3], dtangent_fn: impl Fn(f64) -> [f64; 3], t: f64, ) -> Self

Compute the Frenet frame at parameter t for a curve whose tangent and second derivative are provided as closures.

tangent_fn(t) should return C'(t) and dtangent_fn(t) should return C''(t). Both are then normalized internally.

pub fn from_bezier(curve: &BezierCurve, t: f64) -> Self

Compute the Frenet frame for a BezierCurve at t using finite differences for the second derivative.

Trait Implementations

impl Clone for FrenetFrame

fn clone(&self) -> FrenetFrame

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for FrenetFrame

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.