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use super::Surface;
use crate::basis::bernstein;
use crate::{Float, Grid, Point3, Point4};
#[derive(Debug)]
pub struct BezierSurface<P> {
pub control_points: Grid<P>,
}
impl<P: Clone> BezierSurface<P> {
pub fn new(control_points: Grid<P>) -> Self {
assert!(control_points.rows() > 1 && control_points.cols() > 1);
Self { control_points }
}
}
impl Surface for BezierSurface<Point3> {
fn get_point(&self, u: Float, v: Float) -> Point3 {
let (n, m) = self.control_points.size();
let basis_u = bernstein(n, u);
let basis_v = bernstein(m, v);
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 BezierSurface<Point4> {
fn get_point(&self, u: Float, v: Float) -> Point3 {
let (n, m) = self.control_points.size();
let basis_u = bernstein(n, u);
let basis_v = bernstein(m, v);
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()
}
}