extern crate image; extern crate bspline; use std::ops::{Mul, Add}; use std::iter; #[derive(Copy, Clone, Debug)] struct Point { x: f32, y: f32, } impl Point { fn new(x: f32, y: f32) -> Point { Point { x: x, y: y } } } impl Mul for Point { type Output = Point; fn mul(self, rhs: f32) -> Point { Point { x: self.x * rhs, y: self.y * rhs } } } impl Add for Point { type Output = Point; fn add(self, rhs: Point) -> Point { Point { x: self.x + rhs.x, y: self.y + rhs.y } } } /// Evaluate the B-spline and plot it to the image buffer passed fn plot_2d(spline: &bspline::BSpline, plot: &mut [u8], plot_dim: (usize, usize), scale: (f32, f32), offset: (f32, f32)) { let step_size = 0.001; let t_range = spline.knot_domain(); let steps = ((t_range.1 - t_range.0) / step_size) as usize; for s in 0..steps + 1 { let t = step_size * s as f32 + t_range.0; let pt = spline.point(t); let ix = ((pt.x + offset.0) * scale.0) as isize; let iy = ((pt.y + offset.1) * scale.1) as isize; for y in iy - 1..iy + 1 { for x in ix - 1..ix + 1 { if y >= 0 && y < plot_dim.1 as isize && x >= 0 && x < plot_dim.0 as isize { let px = (plot_dim.1 - 1 - y as usize) * plot_dim.0 * 3 + x as usize * 3; for i in 0..3 { plot[px + i] = 0; } } } } } // Draw the control points for pt in spline.control_points() { let ix = ((pt.x + offset.0) * scale.0) as isize; let iy = ((pt.y + offset.1) * scale.1) as isize; for y in iy - 3..iy + 3 { for x in ix - 3..ix + 3 { if y >= 0 && y < plot_dim.1 as isize && x >= 0 && x < plot_dim.0 as isize { let px = (plot_dim.1 - 1 - y as usize) * plot_dim.0 * 3 + x as usize * 3; plot[px] = 255; plot[px + 1] = 0; plot[px + 2] = 0; } } } } } fn plot_test() { let points = vec![Point::new(-2.5, 1.5), Point::new(-2.0, -1.5), Point::new(-1.5, 1.5), Point::new(-1.0, -1.5), Point::new(-0.5, 1.5), Point::new(0.0, -1.5), Point::new(0.5, 1.5), Point::new(1.0, -1.5), Point::new(1.5, 1.5), Point::new(2.0, -1.5), Point::new(2.5, 1.5)]; let knots = vec![0.0, 0.0, 0.0, 0.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0]; let degree = 3; let plot_dim = (720, 540); let scale = (plot_dim.0 as f32 / 6.0, plot_dim.1 as f32 / 4.0); let offset = (3.0, 2.0); let mut plot: Vec<_> = iter::repeat(255u8).take(plot_dim.0 * plot_dim.1 * 3).collect(); println!("Plotting B-spline with:\n\tpoints = {:?}\n\tknots = {:?}", points, knots); let spline = bspline::BSpline::new(degree, points, knots); println!("\tt range = {:?}", spline.knot_domain()); plot_2d(&spline, &mut plot[..], plot_dim, scale, offset); match image::save_buffer("test.png", &plot[..], plot_dim.0 as u32, plot_dim.1 as u32, image::RGB(8)) { Ok(_) => println!("Test B-spline saved to test.png"), Err(e) => println!("Error saving test.png, {}", e), } } /// Plot a simple 2D quadratic B-spline fn plot_quadratic() { let points = vec![Point::new(-1.5, 0.0), Point::new(0.0, 1.5), Point::new(1.5, 0.0)]; let knots = vec![0.0, 0.0, 0.0, 3.0, 3.0, 3.0]; let degree = 2; let plot_dim = (720, 540); let scale = (plot_dim.0 as f32 / 4.0, plot_dim.1 as f32 / 4.0); let offset = (2.0, 2.0); let mut plot: Vec<_> = iter::repeat(255u8).take(plot_dim.0 * plot_dim.1 * 3).collect(); println!("Plotting Quadratic B-spline with:\n\tpoints = {:?}\n\tknots = {:?}", points, knots); let spline = bspline::BSpline::new(degree, points, knots); println!("\tt range = {:?}", spline.knot_domain()); plot_2d(&spline, &mut plot[..], plot_dim, scale, offset); match image::save_buffer("quadratic_2d.png", &plot[..], plot_dim.0 as u32, plot_dim.1 as u32, image::RGB(8)) { Ok(_) => println!("2D Quadratic B-spline saved to quadratic_2d.png"), Err(e) => println!("Error saving quadratic_2d.png, {}", e), } } /// Plot a simple 2D cubic B-spline fn plot_cubic() { let points = vec![Point::new(-1.5, -1.5), Point::new(-0.5, 1.5), Point::new(0.5, -1.5), Point::new(1.5, 1.5)]; let knots = vec![0.0, 1.0, 2.0, 2.0, 5.0, 5.0, 6.0, 7.0]; let degree = 3; let plot_dim = (720, 540); let scale = (plot_dim.0 as f32 / 4.0, plot_dim.1 as f32 / 4.0); let offset = (2.0, 2.0); let mut plot: Vec<_> = iter::repeat(255u8).take(plot_dim.0 * plot_dim.1 * 3).collect(); println!("Plotting Cubic B-spline with:\n\tpoints = {:?}\n\tknots = {:?}", points, knots); let spline = bspline::BSpline::new(degree, points, knots); println!("\tt range = {:?}", spline.knot_domain()); println!("spline = {:?}", spline); plot_2d(&spline, &mut plot[..], plot_dim, scale, offset); match image::save_buffer("cubic_2d.png", &plot[..], plot_dim.0 as u32, plot_dim.1 as u32, image::RGB(8)) { Ok(_) => println!("2D Cubic B-spline saved to cubic_2d.png"), Err(e) => println!("Error saving cubic_2d.png, {}", e), } } /// Plot a simple 2D quartic B-spline fn plot_quartic() { let points = vec![Point::new(-1.8, -1.4), Point::new(-1.2, 0.5), Point::new(-0.2, -0.8), Point::new(-0.6, 0.7), Point::new(0.0, 1.6), Point::new(1.0, 0.0), Point::new(0.6, -0.3), Point::new(0.0, -1.0)]; let knots = vec![0.0, 0.0, 0.0, 0.0, 0.2, 1.0, 2.0, 3.0, 5.0, 5.0, 5.0, 5.0, 5.0]; let degree = 4; let plot_dim = (720, 540); let scale = (plot_dim.0 as f32 / 4.0, plot_dim.1 as f32 / 4.0); let offset = (2.0, 2.0); let mut plot: Vec<_> = iter::repeat(255u8).take(plot_dim.0 * plot_dim.1 * 3).collect(); println!("Plotting Quartic B-spline with:\n\tpoints = {:?}\n\tknots = {:?}", points, knots); let spline = bspline::BSpline::new(degree, points, knots); println!("\tt range = {:?}", spline.knot_domain()); plot_2d(&spline, &mut plot[..], plot_dim, scale, offset); match image::save_buffer("quartic_2d.png", &plot[..], plot_dim.0 as u32, plot_dim.1 as u32, image::RGB(8)) { Ok(_) => println!("2D Quartic B-spline saved to quartic_2d.png"), Err(e) => println!("Error saving quartic_2d.png, {}", e), } } fn main() { let divider: String = iter::repeat('-').take(80).collect(); plot_test(); println!("{}\n\n{}", divider, divider); plot_quadratic(); println!("{}\n\n{}", divider, divider); plot_cubic(); println!("{}\n\n{}", divider, divider); plot_quartic(); }