Enum truck_modeling::base::D2

source · 
pub enum D2 {}
Expand description

curve geometry

Trait Implementations§

Returns a copy of the value. Read more
Performs copy-assignment from source. Read more
Formats the value using the given formatter. Read more
dimension
parameter type, curve => f64, surface => (f64, f64)
SPHintXX
point
Search nearest parameter t such that self.subs(t) is nearest point.
Returns None if could not find such parameter.
point
Search nearest parameter t such that self.subs(t) is nearest point.
Returns None if could not find such parameter.

Searches the parameter (u, v) which minimize |self(u, v) - point| by Newton’s method with initial guess (u0, v0). If the repeated trial does not converge, then returns None.

Examples
use truck_geometry::*;
let knot_vecs = (KnotVec::bezier_knot(3), KnotVec::bezier_knot(2));
let ctrl_pts = vec![
    vec![Vector3::new(0.0, 0.0, 1.0), Vector3::new(1.0, -2.0, 2.0), Vector3::new(1.0, 0.0, 1.0)],
    vec![Vector3::new(0.0, 2.0, 2.0), Vector3::new(2.0, 4.0, 4.0), Vector3::new(2.0, 2.0, 2.0)],
    vec![Vector3::new(0.0, 4.0, 2.0), Vector3::new(2.0, 8.0, 4.0), Vector3::new(2.0, 4.0, 2.0)],
    vec![Vector3::new(0.0, 3.0, 1.0), Vector3::new(1.0, 7.0, 2.0), Vector3::new(1.0, 3.0, 1.0)],
];
let surface = NURBSSurface::new(BSplineSurface::new(knot_vecs, ctrl_pts));
let pt = surface.subs(0.3, 0.7);
let (u, v) = surface.search_nearest_parameter(pt, Some((0.5, 0.5)), 100).unwrap();
assert!(u.near(&0.3) && v.near(&0.7));
Remarks

It may converge to a local solution depending on the hint. cf. BSplineCurve::search_rational_nearest_parameter

point
point
Search nearest parameter t such that self.subs(t) is nearest point.
Returns None if could not find such parameter.
point
Search nearest parameter t such that self.subs(t) is nearest point.
Returns None if could not find such parameter.
point
Search nearest parameter t such that self.subs(t) is nearest point.
Returns None if could not find such parameter.
point
Search nearest parameter t such that self.subs(t) is nearest point.
Returns None if could not find such parameter.
point
Search parameter t such that self.subs(t) is near point.
Returns None if could not find such parameter.
point
Search parameter t such that self.subs(t) is near point.
Returns None if could not find such parameter.
point
Search parameter t such that self.subs(t) is near point.
Returns None if could not find such parameter.
point
Search parameter t such that self.subs(t) is near point.
Returns None if could not find such parameter.

Search the parameter (u, v) such that self.subs(u, v).rational_projection() is near pt. If cannot find, then return None.

Examples
use truck_geometry::*;
let knot_vec = KnotVec::uniform_knot(2, 2);
let ctrl_pts = vec![
    vec![Vector3::new(0.0, 0.0, 1.0), Vector3::new(0.1, 0.0, 0.5), Vector3::new(0.5, 0.0, 0.3), Vector3::new(1.0, 0.0, 1.0)],
    vec![Vector3::new(0.0, 0.1, 0.1), Vector3::new(0.2, 0.2, 0.1), Vector3::new(0.4, 0.3, 0.4), Vector3::new(1.0, 0.3, 0.7)],
    vec![Vector3::new(0.0, 0.5, 0.4), Vector3::new(0.3, 0.6, 0.5), Vector3::new(0.6, 0.4, 1.0), Vector3::new(1.0, 0.5, 0.4)],
    vec![Vector3::new(0.0, 1.0, 1.0), Vector3::new(0.1, 1.0, 1.0), Vector3::new(0.5, 1.0, 0.5), Vector3::new(1.0, 1.0, 0.3)],
];
let bspsurface = BSplineSurface::new((knot_vec.clone(), knot_vec), ctrl_pts);
let surface = NURBSSurface::new(bspsurface);

let pt = surface.subs(0.3, 0.7);
let (u, v) = surface.search_parameter(pt, Some((0.5, 0.5)), 100).unwrap();
assert_near!(surface.subs(u, v), pt);
point

Search the parameter (u, v) such that self.subs(u, v).rational_projection() is near pt. If cannot find, then return None.

Examples
use truck_geometry::*;
let knot_vec = KnotVec::uniform_knot(2, 2);
let ctrl_pts = vec![
    vec![Vector4::new(0.0, 0.0, 0.0, 1.0), Vector4::new(0.1, 0.0, 0.5, 0.4), Vector4::new(1.0, 0.0, 0.6, 2.0), Vector4::new(0.4, 0.0, 0.4, 0.4)],
    vec![Vector4::new(0.0, 0.2, 0.2, 2.0), Vector4::new(0.24, 0.24, 0.1, 1.2), Vector4::new(2.4, 1.8, 2.4, 0.6), Vector4::new(1.4, 0.42, 0.98, 1.4)],
    vec![Vector4::new(0.0, 1.5, 1.2, 3.0), Vector4::new(1.02, 2.04, 1.7, 3.4), Vector4::new(0.42, 0.28, 0.7, 0.7), Vector4::new(0.6, 0.3, 0.0, 0.6)],
    vec![Vector4::new(0.0, 1.0, 1.0, 1.0), Vector4::new(0.2, 2.0, 2.0, 2.0), Vector4::new(0.85, 1.7, 0.85, 1.7), Vector4::new(1.0, 1.0, 0.3, 1.0)],
];
let bspsurface = BSplineSurface::new((knot_vec.clone(), knot_vec), ctrl_pts);
let surface = NURBSSurface::new(bspsurface);

let pt = surface.subs(0.3, 0.7);
let (u, v) = surface.search_parameter(pt, Some((0.5, 0.5)), 100).unwrap();
assert_near!(surface.subs(u, v), pt);
point
point
Search parameter t such that self.subs(t) is near point.
Returns None if could not find such parameter.
point
Search parameter t such that self.subs(t) is near point.
Returns None if could not find such parameter.
point
Search parameter t such that self.subs(t) is near point.
Returns None if could not find such parameter.
point
Search parameter t such that self.subs(t) is near point.
Returns None if could not find such parameter.

Auto Trait Implementations§

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