Trait truck_geometry::base::ParametricSurface

pub trait ParametricSurface: Clone {
    type Point;
    type Vector;
    fn subs(&self, u: f64, v: f64) -> Self::Point;
    fn uder(&self, u: f64, v: f64) -> Self::Vector;
    fn vder(&self, u: f64, v: f64) -> Self::Vector;
    fn uuder(&self, u: f64, v: f64) -> Self::Vector;
    fn uvder(&self, u: f64, v: f64) -> Self::Vector;
    fn vvder(&self, u: f64, v: f64) -> Self::Vector;
}

Parametric surface

Associated Types

type Point

The surface is in the space of Self::Point.

type Vector

The derivation vector of the curve.

Required methods

fn subs(&self, u: f64, v: f64) -> Self::Point

Substitutes the parameter (u, v).

fn uder(&self, u: f64, v: f64) -> Self::Vector

Returns the derivation by u.

fn vder(&self, u: f64, v: f64) -> Self::Vector

Returns the derivation by v.

fn uuder(&self, u: f64, v: f64) -> Self::Vector

Returns the 2nd-order derivation by u.

fn uvder(&self, u: f64, v: f64) -> Self::Vector

Returns the 2nd-order derivation by both u and v.

fn vvder(&self, u: f64, v: f64) -> Self::Vector

Returns the 2nd-order derivation by v.

Implementations on Foreign Types

impl ParametricSurface for ()

Implementation for the test of topological methods.

type Point = ()

type Vector = ()

pub fn subs(&self, f64, f64) -> <() as ParametricSurface>::Point

pub fn uder(&self, f64, f64) -> <() as ParametricSurface>::Vector

pub fn vder(&self, f64, f64) -> <() as ParametricSurface>::Vector

pub fn uuder(&self, f64, f64) -> <() as ParametricSurface>::Vector

pub fn uvder(&self, f64, f64) -> <() as ParametricSurface>::Vector

pub fn vvder(&self, f64, f64) -> <() as ParametricSurface>::Vector

impl<'a, S> ParametricSurface for &'a S where
    S: ParametricSurface, 

type Point = <S as ParametricSurface>::Point

type Vector = <S as ParametricSurface>::Vector

pub fn subs(&self, u: f64, v: f64) -> <&'a S as ParametricSurface>::Point

pub fn uder(&self, u: f64, v: f64) -> <&'a S as ParametricSurface>::Vector

pub fn vder(&self, u: f64, v: f64) -> <&'a S as ParametricSurface>::Vector

pub fn uuder(&self, u: f64, v: f64) -> <&'a S as ParametricSurface>::Vector

pub fn uvder(&self, u: f64, v: f64) -> <&'a S as ParametricSurface>::Vector

pub fn vvder(&self, u: f64, v: f64) -> <&'a S as ParametricSurface>::Vector

Implementors

impl ParametricSurface for Plane

type Point = Point3

type Vector = Vector3

impl ParametricSurface for Sphere

type Point = Point3

type Vector = Vector3

impl<C> ParametricSurface for ExtrudedCurve<C, C::Vector> where
    C: ParametricCurve,
    C::Point: EuclideanSpace<Scalar = f64, Diff = C::Vector>,
    C::Vector: VectorSpace<Scalar = f64>, 

type Point = C::Point

type Vector = C::Vector

impl<C: ParametricCurve3D> ParametricSurface for RevolutedCurve<C>

type Point = Point3

type Vector = Vector3

impl<P: ControlPoint<f64>> ParametricSurface for BSplineSurface<P>

type Point = P

type Vector = P::Diff

impl<S, T> ParametricSurface for Processor<S, T> where
    S: ParametricSurface,
    S::Point: EuclideanSpace<Scalar = f64, Diff = S::Vector>,
    T: Transform<S::Point> + SquareMatrix<Scalar = f64> + Clone, 

type Point = S::Point

type Vector = S::Vector

impl<V: Homogeneous<f64> + ControlPoint<f64, Diff = V>> ParametricSurface for NURBSSurface<V>

type Point = V::Point

type Vector = V::Vector