Struct SurfaceCurvature 

pub struct SurfaceCurvature {
    pub max: f64,
    pub min: f64,
    pub max_direction: Direction,
    pub min_direction: Direction,
    pub normal: Direction,
}

A surface’s curvature at one place: the principal curvatures and the directions they are taken in, with the mean and Gaussian curvatures they combine to.

What curvature display, zebra analysis and a fillet’s seat all ask. The principal directions are unit tangents in space, perpendicular to each other. At an umbilic (where every direction curves the same, as everywhere on a sphere or a plane) they are any perpendicular pair in the tangent plane, and SurfaceCurvature::is_umbilic says so.

Fields

max: f64

The largest normal curvature.

min: f64

The smallest normal curvature.

max_direction: Direction

The tangent direction of the largest.

min_direction: Direction

The tangent direction of the smallest.

normal: Direction

The unit normal the curvatures are signed against: positive where the surface curves towards it.

Implementations

impl SurfaceCurvature

pub fn mean(&self) -> f64

The mean curvature, (max + min) / 2.

pub fn gaussian(&self) -> f64

The Gaussian curvature, max · min.

pub fn is_umbilic(&self, tol: Tolerances) -> bool

Whether the two principal curvatures are equal to within tol’s angular resolution of their size, so no direction is principal above another.

pub fn normal_curvature(&self, along: Vector) -> Option<f64>

The normal curvature along the tangent direction along, signed as the principal ones are.

Euler’s formula: max cos²θ + min sin²θ, with θ the angle from the largest’s direction. The part of along that leaves the tangent plane is dropped first. None if nothing is left of it, as for a vector along the normal or a zero one.

Trait Implementations

impl Clone for SurfaceCurvature

fn clone(&self) -> Self

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for SurfaceCurvature

impl Debug for SurfaceCurvature

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

Formats the value using the given formatter.

impl PartialEq for SurfaceCurvature

fn eq(&self, other: &Self) -> bool

Equality operator ==.

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=.

impl StructuralPartialEq for SurfaceCurvature