After digging through some older projects today I came across this code from FollowThemAround.com used to animate the flight path from the Radiohead tour map. It was originally written in AS3 but I ported it to JS for fun.
Basically drawBezierSplit() allow you to draw a section of a quadratic bezier curve. It uses a quadratic bezier curve (quadraticCurveTo) because this is the default curve type built into the AS3 drawing API. For reference the HTML5 canvas API uses cubic curves by default.
/**
* Animates bezier-curve
*
* @param ctx The canvas context to draw to
* @param x0 The x-coord of the start point
* @param y0 The y-coord of the start point
* @param x1 The x-coord of the control point
* @param y1 The y-coord of the control point
* @param x2 The x-coord of the end point
* @param y2 The y-coord of the end point
* @param duration The duration in milliseconds
*/
function animatePathDrawing(ctx, x0, y0, x1, y1, x2, y2, duration) {
var start = null;
var step = function animatePathDrawingStep(timestamp) {
if (start === null)
start = timestamp;
var delta = timestamp - start,
progress = Math.min(delta / duration, 1);
// Clear canvas
ctx.clearRect(0, 0, ctx.canvas.width, ctx.canvas.height);
// Draw curve
drawBezierSplit(ctx, x0, y0, x1, y1, x2, y2, 0, progress);
if (progress < 1) {
window.requestAnimationFrame(step);
}
};
window.requestAnimationFrame(step);
}
/**
* Draws a splitted bezier-curve
*
* @param ctx The canvas context to draw to
* @param x0 The x-coord of the start point
* @param y0 The y-coord of the start point
* @param x1 The x-coord of the control point
* @param y1 The y-coord of the control point
* @param x2 The x-coord of the end point
* @param y2 The y-coord of the end point
* @param t0 The start ratio of the splitted bezier from 0.0 to 1.0
* @param t1 The start ratio of the splitted bezier from 0.0 to 1.0
*/
function drawBezierSplit(ctx, x0, y0, x1, y1, x2, y2, t0, t1) {
ctx.beginPath();
if( 0.0 == t0 && t1 == 1.0 ) {
ctx.moveTo( x0, y0 );
ctx.quadraticCurveTo( x1, y1, x2, y2 );
} else if( t0 != t1 ) {
var t00 = t0 * t0,
t01 = 1.0 - t0,
t02 = t01 * t01,
t03 = 2.0 * t0 * t01;
var nx0 = t02 * x0 + t03 * x1 + t00 * x2,
ny0 = t02 * y0 + t03 * y1 + t00 * y2;
t00 = t1 * t1;
t01 = 1.0 - t1;
t02 = t01 * t01;
t03 = 2.0 * t1 * t01;
var nx2 = t02 * x0 + t03 * x1 + t00 * x2,
ny2 = t02 * y0 + t03 * y1 + t00 * y2;
var nx1 = lerp ( lerp ( x0 , x1 , t0 ) , lerp ( x1 , x2 , t0 ) , t1 ),
ny1 = lerp ( lerp ( y0 , y1 , t0 ) , lerp ( y1 , y2 , t0 ) , t1 );
ctx.moveTo( nx0, ny0 );
ctx.quadraticCurveTo( nx1, ny1, nx2, ny2 );
}
ctx.stroke();
ctx.closePath();
}
/**
* Linearly interpolate between two numbers v0, v1 by t
*/
function lerp(v0, v1, t) {
return ( 1.0 - t ) * v0 + t * v1;
}
document.addEventListener('DOMContentLoaded',function(){
var docCanvas = document.getElementById('canvas'),
ctx = docCanvas.getContext('2d');
animatePathDrawing(ctx, 0, 100, 150, -50, 300, 100, 5000);
});
Note: Click on the result tab to restart the animation.
Credit to Andre Michelle (andre-michelle.com) for the original inspiration.
Awsome!
Nice Castle defense game
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Nice bro
Great work!
I was wondering, does it have some sort of cubic Bezier? Because in the result it looks like it has.
It’s remarkable designed for me to have a website, which is good designed for my know-how.
thanks admin
This was very interesting young man keep up the good work, I’m a fan of atari space fighter games.
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