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use super::Surface;
use crate::{Float, Grid, KnotVector, Point3, Point4};
#[derive(Debug)]
pub struct BSplineSurface<P> {
pub control_points: Grid<P>,
pub knots: (KnotVector, KnotVector),
pub degree: (u8, u8),
}
impl<P: Clone> BSplineSurface<P> {
pub fn new(
control_points: Grid<P>,
knots: (KnotVector, KnotVector),
degree: (usize, usize),
) -> Self {
let (u_deg, v_deg) = degree;
assert_eq!(control_points.rows() + u_deg + 1, knots.0.len());
assert_eq!(control_points.cols() + v_deg + 1, knots.1.len());
Self {
control_points,
knots,
degree: (u_deg as u8, v_deg as u8),
}
}
pub fn uniform_clamped(control_points: Grid<P>, degree: (usize, usize)) -> Self {
let (u_deg, v_deg) = degree;
assert!(control_points.rows() > u_deg && control_points.cols() > v_deg);
let u_knots = KnotVector::uniform_knot(u_deg, control_points.rows() - u_deg);
let v_knots = KnotVector::uniform_knot(v_deg, control_points.cols() - v_deg);
Self {
control_points,
knots: (u_knots, v_knots),
degree: (u_deg as u8, v_deg as u8),
}
}
}
impl Surface for BSplineSurface<Point3> {
fn get_point(&self, u: Float, v: Float) -> Point3 {
let (u_knots, v_knots) = &self.knots;
let (p, q) = self.degree;
let basis_u = u_knots.bspline_basis(p as usize, u);
let basis_v = v_knots.bspline_basis(q as usize, v);
let (n, m) = self.control_points.size();
let mut point = Point3::ZERO;
for i in 0..n {
for j in 0..m {
let p = self.control_points[i][j];
point += basis_u[i] * basis_v[j] * p;
}
}
point
}
}
impl Surface for BSplineSurface<Point4> {
fn get_point(&self, u: Float, v: Float) -> Point3 {
let (u_knots, v_knots) = &self.knots;
let (p, q) = self.degree;
let basis_u = u_knots.bspline_basis(p as usize, u);
let basis_v = v_knots.bspline_basis(q as usize, v);
let (n, m) = self.control_points.size();
let mut point = Point4::ZERO;
for i in 0..n {
for j in 0..m {
let p = self.control_points[i][j];
point += basis_u[i] * basis_v[j] * p;
}
}
(1.0 / point.w) * point.truncate()
}
}