Understanding HTML5 Canvas - javascript

I am trying to get to grips and understand how to use and create colliding balls with HTML5 canvas,examples I have looked at have a lot of JavaScript, but I need to break it down into much smaller chunks to get a better understanding of what's going on.
In my example what I understand so far is that I am redrawing the circles every 40 milliseconds onto the canvas, and calling the animate function each time. Every time this is called the position of the circle changes as I am changing it with
circles[0].x+=1;
circles[0].y+=-1.5;
So my circle objects are in an array, and there are 2 things I would like to achieve:
1) not to let the balls escape the canvas area
2) if the balls collide then bounce off each other and reverse in direction.
What I want to tackle first though is not letting the balls escape the canvas and how I would go about working that out.
I have access to the window.width and window.height, so it's a case of understanding how to get the position of each ball in the array, and ensure that it does not cross those boundaries.
I don't want to just have it work, would much prefer to understand what is happening.

This will check collisions on the bounds of the canvas. I updated your objects to store vx and vy (velocity) and the draw() function to move based on these properties. I added checkBounds() which reverses the velocity when the circle goes outside the bounds.
EDIT: modified so that it takes into account the radius of the circles too.
Doing a collision detect between the circles could follow a similar pattern
http://jsfiddle.net/3tfUN/5/
var canvas = document.getElementById('ball-canvas');
var context = canvas.getContext('2d')
var radius = 50;
var strokewidth = 2;
var strokestyle = '#666';
var frameCount = 0;
var w = canvas.width;
var h = canvas.height;
// Circle Objects
var yellowCircle = {
x: 50,
y: h / 2,
radius: radius,
color: 'yellow',
vx: 1,
vy: 1.5
}
var redCircle = {
x: 450,
y: h / 2,
radius: radius,
color: 'red',
vx: 1,
vy: -1
}
var blueCircle = {
x: 850,
y: h / 2,
radius: radius,
color: 'blue',
vx: -1,
vy: -1.5
}
// Create empty array and then push cirlce objects into array
var circles = [];
circles.push(yellowCircle, blueCircle, redCircle);
function checkBounds() {
for (var i = 0; i < circles.length; i++) {
var c = circles[i];
if (c.x > w - c.radius || c.x < c.radius) {
c.vx = -c.vx;
}
if (c.y > h - c.radius || c.y < c.radius) {
c.vy = -c.vy;
}
}
}
// Clear last circle and draw again
function draw() {
context.clearRect(0, 0, canvas.width, canvas.height); // Clear the circle from the from page
for (var i = 0; i < circles.length; i++) {
var c = circles[i];
context.beginPath();
context.fillStyle = c.color // Set the color of the circle using key:valuecontext.fill();
context.lineWidth = strokewidth;
context.strokeStyle = strokestyle;
context.stroke();
context.arc(c.x, c.y, c.radius, 0, Math.PI * 2); // X-axis Position, y-axis Position, radius, % of fill, ?
context.closePath();
context.fill();
}
}
function animate() {
for (i = 0; i <= 2; i++) {
circles[i].x += circles[i].vx;
circles[i].y += circles[i].vy;
}
checkBounds();
draw();
}
var canvas = document.getElementById('ball-canvas');
var context = canvas.getContext('2d')
var radius = 50;
setInterval(animate, 40);

circles[0].x+=1;
circles[0].y+=-1.5;
That's pretty tough to maintain. Instead, I'd suggest you have properties for X and Y speeds (I used moveX and moveY in the example).
Next, you need to check whether the position of the ball + the radius compensation is touching the canvas edges, and if so, reverse the speed value. So, for example, the X speed of the ball is 4 and now it hits the left or the right canvas egde, the X speed now becomes -4.
This is it, in a nutshell:
var c = circles[i];
// check rebounds
if (c.x - c.radius <= 0 || c.x + c.radius >= canvas.width)
c.moveX = -c.moveX; // flip the horizontal speed component
if (c.y - c.radius <= 0 || c.y + c.radius >= canvas.height)
c.moveY = -c.moveY; // flip the vertical speed component
// Yellow Circle
c.x += c.moveX; // here we don't have to worry
c.y += c.moveY; // about directions anymore
See my example here: http://jsfiddle.net/3tfUN/8/
The same principle applies for collisions between balls. I'm assuming you want to do simple collisions without angle changes.
But if you wish to simulate real ball collisions, that would require some more serious trigonometry to calculate when exactly the pixel-perfect collision happens, and to calculate the new X and Y speed components.
UPDATE
An example featuring slightly improved collision detection and speed transfer between balls: http://jsfiddle.net/3tfUN/12/

The canvas is just a "canvas" where you draw the circles. What you need to accomplish what you want is to model a "world" where the circles are object with width and height dimensions and their current position, and where the bounds are well defined. Once you have the width and height of each circle and their position, you can calculate where they are in respect to the bounds you set and see if you need to change direction or keep going.
Collisions stem from the same principle but are somewhat harder to model if you want them to be "realistic" (in the bounds problem you are only interested in the width and height of the circles because the bounding area is box shaped and the circle will always collide in the furthest point from its center, while when two circles collide you should take into account the radius of each circle instead of the "bounding box" around them.
I don't have time right now to show you this concepts with examples, but hopefully I sent you in the right track :).

Related

Rotate tiled images individually in HTML canvas

I have some code in my game that rotates an icon within its canvas as follows:
if (rotate > 0) {
context.translate(canvasWidth / 2, canvasHeight / 2);
context.rotate(rotate);
context.translate(-canvasWidth / 2, -canvasHeight / 2);
}
Nothing you haven't seen before. I've also added a function that tiles the icons within a larger canvas like so:
var x = 0;
var y = 0;
for (var i = 0; i < totalUnits; i++) {
context.drawImage(img, x, y);
if (i != 0 && (i + 1) % level == 0) {
x = 0;
y += 72;
}
else {
x += 72;
}
}
Note that the variable level can be any integer, and totalUnits is its square if it's greater than 1, so for example if I specify level as 2, then 4 images are drawn on my canvas, 2 across and 2 down. Note also that my images are always 72x72 pixels, hence the 72 above. Again, nothing particularly exciting.
My difficulty is trying to rotate the images within the canvas such that the individual image is rotated by the value passed in rotate, but not the whole canvas itself. I have tried adding the following code with many permutations replacing the above call to context.drawImage in the for loop, with no luck so far:
context.translate(72 / 2, 72 / 2);
context.rotate(rotate);
context.drawImage(img, x, y);
context.rotate(0);
context.translate(-72 / 2, -72 / 2);
To help visualise the effect I am trying to achieve, here is what is drawn when rotate is set to 0:
And here is what I'd like my tiled images on the canvas to look like when rotated by 45 degrees (for example):
I'd like to point out that I am not trying to rotate the entire canvas - I know how to do that, but it is not the effect I'm trying to achieve as I need the icons to stay in their individual x, y positions. Also, rotating the entire canvas presents cutoff corner challenges.
Any help would be much appreciated!
Easiest way is to overwrite the current transform
ctx.setTransform(scale, 0, 0, scale, x, y);
ctx.rotate(rotate);
ctx.drawImage(img, -img.width / 2, -img.height/ 2);
Draw image center at x, y, rotated by rotate around img center, and scales by scale. Scale of 1 is no scale.
To reset to default transform for example before clearing the canvas
ctx.setTransform(1, 0, 0, 1, 0, 0);
ctx.clearRect(0, 0, ctx.canvas.width, ctx.canvas.height);
Because under the hood the ctx.rotate requires at least 1 sin and 1 cos, 12 temp numbers, then 12 multiplications and 8 additions. If the scaling is uniform (same scale for x and y), it is quicker to use a simplified method to creating the matrix. Note if the scale is always 1 you don't need the scale`
Also when the image loads you can set the point of rotation as properties of the image.
When the image loads set the offset
img.offset_x = - img.naturalWidth / 2; // NOTE I use snake_case for the property names
img.offset_y = - img.naturalHeight / 2; // so that the names will never clash with
// future changes to the standard
To render that image
const ax = Math.cos(rotate) * scale;
const ay = Math.sin(rotate) * scale;
ctx.setTranform(ax, ay, -ay, ax, x, y);
ctx.drawImage(img, img.offset_x, img.offset_y);

Is it possible to draw an image on a path in HTML5 canvas?

For instance, say I have the following path.
<canvas id="main" width="500" height="250"></canvas>
var canvas = document.getElementById("main");
var ctx = canvas.getContext("2d");
ctx.beginPath();
ctx.moveTo(20,20);
ctx.lineTo(100,20);
ctx.arcTo(150,20,150,70,50);
ctx.lineTo(150,120);
ctx.lineWidth = 3;
ctx.stroke();
Is it possible to draw images on the arc of the line? If so, How?
Slice an image to draw on curves.
Yes it is possible, though ideally this would be a job for WebGL. The next best solution is a scan line render but that is way to much CPU load for poor Javascript to manage.
The next best I mean "OK sort of." option is a little image slicing.
You simply draw the image in thin slices around the arc. The 2D renderer is not perfect and tries to draw half pixels as best it can. The result is some noise along the edge of each slice where you can see through. To overcome this I draw each slice slightly wider to cover up any holes.
If you need high quality, rendering it all at double the size on an offscreen canvas and then scale down to a onscreen canvas (don't forget smoothing) will make most think it was drawn that way.
As the inner and outer edges of the arc have different circumferences some of the image must be squashed or stretched. In the demo I keep the inner edge of the image to the correct width and stretch the outer edge. It is easy to change but ensure that you use the outer edge to workout how many slices to draw.
WARNING the radius given is for the inner edge. It is vetted to stop the for loop getting too long and blocking the page. You may want to limit the radius so the inner circumference is the same as the image width. radius = radius < img.width / (Math.PI * 2) ? img.width / (Math.PI * 2) : radius;
It is easy to adapt to lines and curves. All you need is the tangent or curve normal (should be unit vector ie length 1) Use this vector to set the transform ctx.setTransform(nx,ny,tx,ty,px,py). THe first two values point out from the bottom of the image to the top, the next two numbers are along the tangent from left to right. The last two are the point on the curve to draw the slice.
// creates a blank image with 2d context
var createImage=function(w,h){var i=document.createElement("canvas");i.width=w;i.height=h;i.ctx=i.getContext("2d");return i;}
// create a canvas and add to dom
var can = createImage(512,512);
document.body.appendChild(can);
var ctx = can.ctx;
// create a image (canvas) to draw on the arc.
const textToDisplay = "<<Image on arc>>"
ctx.font = "64px arial";
var w = ctx.measureText(textToDisplay).width + 8;
var text = createImage(w + 64,84);
text.ctx.fillStyle = "#F90";
text.ctx.strokeStyle = "black";
text.ctx.lineWidth = 16;
text.ctx.fillRect(0,0,text.width,text.height);
text.ctx.strokeRect(0,0,text.width,text.height);
text.ctx.font = "64px arial";
text.ctx.fillStyle = "#0F0";
text.ctx.strokeStyle = "Black";
text.ctx.lineWidth = 4;
text.ctx.strokeText(textToDisplay,38,58);
text.ctx.fillText(textToDisplay,38,58);
// draws image on arc
// img image to render
// x,y center of arc
// radius the inner edge (bottom of image) radius
// fromAng The angle to start drawing the image in radians
// toAng (optional if not given image width will be used to get toAng)
// returns undefined
function drawArcImage(img,x,y,radius,fromAng,toAng){
// WARNING if you let the radius get to small the ratio between the inner and out circumference
// gets very large. This will result in the image being stretched over a quintabazzilon pixels.
// so must vet the radius or you will block the page and upset the browser gods.
radius = Math.abs(radius); // only positive
radius = radius < img.height / 8 ? img.height / 8 : radius;
var outRad = radius + img.height;
var cir = Math.PI * 2 * radius; // get inner circumference
if(toAng === undefined){
var toAng = (img.width / cir) * Math.PI * 2 ; // get the angle the image will cover
}
var cirOut = toAng * outRad; // get the out edge distance in pixels
var imgStep = img.width / cirOut; // the image step per slice
var imgX = 0; // track the image line to draw
var angStep = toAng / cirOut; // the angle steps
// For each pixel on the out edge draw a slice
for(var i = 0; i < toAng; i += angStep){
var dx = Math.cos(fromAng + i);
var dy = Math.sin(fromAng + i);
// set up the transform to draw a slice from the inner to outer edges
ctx.setTransform(dy,-dx,-dx,-dy,dx * radius + x,dy * radius + y);
// get and draw the slice. I stretch it a little (2pix) to cover imperfect rendering
ctx.drawImage(img,imgX,0,imgStep,img.height,-1,-img.height,2,img.height);
// move to next slice
imgX += imgStep;
}
ctx.setTransform(1,0,0,1,0,0); // reset the transform
}
// animate the image to prove it is real.. LOL
var animTick = 0;
var animRate = 0.01;
var pos = 0;
// update function call via RAF
function update(){
animTick += animRate; // update tick
// random anim sin waves.
var rad = Math.sin(animTick) * (256-text.height - 20) + 20;
pos += Math.sin(animTick*10) * 0.02;
pos += Math.sin(animTick/ 3) * 0.02;
pos += Math.sin(animTick/ 7) * 0.05;
// clear
ctx.clearRect(0,0,can.width,can.height)
// draw
drawArcImage(text,256,256,rad,pos)
// do again and again and again
requestAnimationFrame(update);
}
update();
This is an answer to a similar question:
You could, in the draw loop implement a "line drawing algorithm" that does not exactly draw a line but draws an item at a place where that point would be. Except, replace the line algorithm here to draw an arc instead.
function line(x0, y0, x1, y1){
var dx = Math.abs(x1-x0);
var dy = Math.abs(y1-y0);
var sx = (x0 < x1) ? 1 : -1;
var sy = (y0 < y1) ? 1 : -1;
var err = dx-dy;
while(true){ // put draw loop here.
drawImage(image,x0,y0);//setPixel(x0,y0); // Do what you need to for this
if ((x0==x1) && (y0==y1)) break;
var e2 = 2*err;
if (e2 >-dy){ err -= dy; x0 += sx; }
if (e2 < dx){ err += dx; y0 += sy; }
}
}
code taken from: Bresenham algorithm in Javascript
I would suggest using a library like p5.js to do something like this. http://p5js.org

Image Manipulation - add image with corners in exact positions

I have an image which is a background containing a boxed area like this:
I know the exact positions of the corners of that shape, and I'd like to place another image within it. (So it appears to be inside the box).
I'm aware of the drawImage method for HTML5 canvas, but it seems to only support x, y, width, height parameters rather than exact coordinates. How might I draw an image onto a canvas at a specific set of coordinates, and ideally have the browser itself handle stretching the image.
Quadrilateral transform
One way to go about this is to use Quadrilateral transforms. They are different than 3D transforms and would allow you to draw to a canvas in case you want to export the result.
The example shown here is simplified and uses basic sub-divison and "cheats" on the rendering itself - that is, it draws in a small square instead of the shape of the sub-divided cell but because of the small size and the overlap we can get away with it in many non-extreme cases.
The proper way would be to split the shape into two triangles, then scan pixel wise in the destination bitmap, map the point from destination triangle to source triangle. If the position value was fractional you would use that to determine pixel interpolation (f.ex. bi-linear 2x2 or bi-cubic 4x4).
I do not intend to cover all this in this answer as it would quickly become out of scope for the SO format, but the method would probably be suitable in this case unless you need to animate it (it is not performant enough for that if you want high resolution).
Method
Lets start with an initial quadrilateral shape:
The first step is to interpolate the Y-positions on each bar C1-C4 and C2-C3. We're gonna need current position as well as next position. We'll use linear interpolation ("lerp") for this using a normalized value for t:
y1current = lerp( C1, C4, y / height)
y2current = lerp( C2, C3, y / height)
y1next = lerp(C1, C4, (y + step) / height)
y2next = lerp(C2, C3, (y + step) / height)
This gives us a new line between and along the outer vertical bars.
Next we need the X positions on that line, both current and next. This will give us four positions we will fill with current pixel, either as-is or interpolate it (not shown here):
p1 = lerp(y1current, y2current, x / width)
p2 = lerp(y1current, y2current, (x + step) / width)
p3 = lerp(y1next, y2next, (x + step) / width)
p4 = lerp(y1next, y2next, x / width)
x and y will be the position in the source image using integer values.
We can use this setup inside a loop that will iterate over each pixel in the source bitmap.
Demo
The demo can be found at the bottom of the answer. Move the circular handles around to transform and play with the step value to see its impact on performance and result.
The demo will have moire and other artifacts, but as mentioned earlier that would be a topic for another day.
Snapshot from demo:
Alternative methods
You can also use WebGL or Three.js to setup a 3D environment and render to canvas. Here is a link to the latter solution:
Three.js
and an example of how to use texture mapped surface:
Three.js texturing (instead of defining a cube, just define one place/face).
Using this approach will enable you to export the result to a canvas or an image as well, but for performance a GPU is required on the client.
If you don't need to export or manipulate the result I would suggest to use simple CSS 3D transform as shown in the other answers.
/* Quadrilateral Transform - (c) Ken Nilsen, CC3.0-Attr */
var img = new Image(); img.onload = go;
img.src = "https://i.imgur.com/EWoZkZm.jpg";
function go() {
var me = this,
stepEl = document.querySelector("input"),
stepTxt = document.querySelector("span"),
c = document.querySelector("canvas"),
ctx = c.getContext("2d"),
corners = [
{x: 100, y: 20}, // ul
{x: 520, y: 20}, // ur
{x: 520, y: 380}, // br
{x: 100, y: 380} // bl
],
radius = 10, cPoint, timer, // for mouse handling
step = 4; // resolution
update();
// render image to quad using current settings
function render() {
var p1, p2, p3, p4, y1c, y2c, y1n, y2n,
w = img.width - 1, // -1 to give room for the "next" points
h = img.height - 1;
ctx.clearRect(0, 0, c.width, c.height);
for(y = 0; y < h; y += step) {
for(x = 0; x < w; x += step) {
y1c = lerp(corners[0], corners[3], y / h);
y2c = lerp(corners[1], corners[2], y / h);
y1n = lerp(corners[0], corners[3], (y + step) / h);
y2n = lerp(corners[1], corners[2], (y + step) / h);
// corners of the new sub-divided cell p1 (ul) -> p2 (ur) -> p3 (br) -> p4 (bl)
p1 = lerp(y1c, y2c, x / w);
p2 = lerp(y1c, y2c, (x + step) / w);
p3 = lerp(y1n, y2n, (x + step) / w);
p4 = lerp(y1n, y2n, x / w);
ctx.drawImage(img, x, y, step, step, p1.x, p1.y, // get most coverage for w/h:
Math.ceil(Math.max(step, Math.abs(p2.x - p1.x), Math.abs(p4.x - p3.x))) + 1,
Math.ceil(Math.max(step, Math.abs(p1.y - p4.y), Math.abs(p2.y - p3.y))) + 1)
}
}
}
function lerp(p1, p2, t) {
return {
x: p1.x + (p2.x - p1.x) * t,
y: p1.y + (p2.y - p1.y) * t}
}
/* Stuff for demo: -----------------*/
function drawCorners() {
ctx.strokeStyle = "#09f";
ctx.lineWidth = 2;
ctx.beginPath();
// border
for(var i = 0, p; p = corners[i++];) ctx[i ? "lineTo" : "moveTo"](p.x, p.y);
ctx.closePath();
// circular handles
for(i = 0; p = corners[i++];) {
ctx.moveTo(p.x + radius, p.y);
ctx.arc(p.x, p.y, radius, 0, 6.28);
}
ctx.stroke()
}
function getXY(e) {
var r = c.getBoundingClientRect();
return {x: e.clientX - r.left, y: e.clientY - r.top}
}
function inCircle(p, pos) {
var dx = pos.x - p.x,
dy = pos.y - p.y;
return dx*dx + dy*dy <= radius * radius
}
// handle mouse
c.onmousedown = function(e) {
var pos = getXY(e);
for(var i = 0, p; p = corners[i++];) {if (inCircle(p, pos)) {cPoint = p; break}}
}
window.onmousemove = function(e) {
if (cPoint) {
var pos = getXY(e);
cPoint.x = pos.x; cPoint.y = pos.y;
cancelAnimationFrame(timer);
timer = requestAnimationFrame(update.bind(me))
}
}
window.onmouseup = function() {cPoint = null}
stepEl.oninput = function() {
stepTxt.innerHTML = (step = Math.pow(2, +this.value));
update();
}
function update() {render(); drawCorners()}
}
body {margin:20px;font:16px sans-serif}
canvas {border:1px solid #000;margin-top:10px}
<label>Step: <input type=range min=0 max=5 value=2></label><span>4</span><br>
<canvas width=620 height=400></canvas>
You can use CSS Transforms to make your image look like that box. For example:
img {
margin: 50px;
transform: perspective(500px) rotateY(20deg) rotateX(20deg);
}
<img src="https://via.placeholder.com/400x200">
Read more about CSS Transforms on MDN.
This solution relies on the browser performing the compositing. You put the image that you want warped in a separate element, overlaying the background using position: absolute.
Then use CSS transform property to apply any perspective transform to the overlay element.
To find the transform matrix you can use the answer from: How to match 3D perspective of real photo and object in CSS3 3D transforms

Canvas - Animating rotated text

What do I need to do to this animation to make the text animate along with the background image?
Fiddle here
I have seen a couple of different examples online but either they don't have the text rotated like I do (which is causing the problem) or they don't explain the maths behind the solution.
This is quite good - http://tech.pro/tutorial/1008/creating-a-roulette-wheel-using-html5-canvas
but it doesn't offer a great insight into the use of any of the Math functions.
I obviously need to affect the line:
context.rotate(i * arc);
in the loop that writes the text but I am unsure of the maths involved.
var cvs = document.getElementById("cvs");
var context = cvs.getContext("2d");
var height = 400,
width = 400,
spinning = false,
angle = 0,
awards = [100,200,300,400,500,600,700,800,900,1000,1100,1200],
segmentCount = 12,
angleAmount = 30,
arc = Math.PI / 6,
image = new Image();
image.src = 'http://placehold.it/400x400';
function draw() {
// clear
context.clearRect(0,0,width,height);
// rotate whole wheel here?
context.save();
context.translate(height/2, width/2);
context.rotate(angle * (Math.PI / 180));
context.drawImage(image,-width/2,-height/2);
context.restore();
// draw the prize amount text
for(var i = 0; i < segmentCount; i++){
context.save();
context.translate(height/2, width/2);
context.font = "bold 18px sans-serif";
context.textAlign = "end";
context.rotate(i * arc);
context.fillStyle = "#000000";
context.textBaseline = 'middle';
context.fillText(awards[i],145,0);
context.restore();
angle += angleAmount;
}
}
function update(){
draw();
angle += 5;
setTimeout(update,1000/30);
}
image.onload = update;
I think you got confused by the way you are using the 'angle' var : it is in fact the var that holds the current rotation, and you also use it in the for loop that draws the amounts (angle+=angleAmount)... just to increase it. Luckily enough you add 360° to it so it did not create a bug.
So first thing is to stop increasing this var in the text drawing for loop, second thing is to add the current rotation angle to each text draw (with a degree-> rad conversion) :
context.rotate(( i * angleAmount + angle ) * (Math.PI / 180));
http://jsfiddle.net/gamealchemist/fwter56k/4/
(or with a bit of optimisation : http://jsfiddle.net/gamealchemist/fwter56k/5/ )

How to draw a complex transparent circle on Google Maps API

Recently I got a task that is to draw circles on my own website with Google Maps API.
The complexity is the center of the circle is representing a "signal transmitter" and I need to make the circle transparent, with the opacity of each pixel reprseting the signal intensity of the exact location.
My basic idea is to extend the "Overlay" of Google Map API, so I have to write it in javascript I think.
The key part is to draw a circle with gradually changing opacity (inner stronger, outter lighter) and idealy, I can specify the opacity of each pixel.
I've been looking for approaches like CSS3, SVG, VML and even jquery and AJAX but still having no idea about how to archve this.
Thank you very much for your helping!
It looks like you're going to have to manually set every pixel, if you want that level of control over the opacity. I'd use something like this:
var centerX = 100 // Center X coordinate of the circle.
var centerY = 100 // Center Y coordinate of the circle.
var radius = 25 // Radius of circle.
//(var diameter = 2 * radius // Diameter of circle)
for(x = -radius; x < radius; x++){
for(y = -radius; y < radius; y++){
var hypotenuse = Math.sqrt((x * x) + (y * y)); // Line from point (x,y) to the center of the circle.
if(hypotenuse < radius){ // If the point falls within the circle
var opacity = hypotenuse / radius; // Should return a value between 0 and 1
drawPointAt(x + centerX, y + centerY, colour, opacity); // You'll have to look up what function to use here, yourself.
}
}
}
Here's a small example of this code returning a circle.
Here I got the solution. It's making use of the Canvas element of HTML5 (which is widely supported).
Here is the javascript code for locating the canvas element and draw the circle with gradually changing transparency. The key part is to use the "Gradient".
//get a reference to the canvas
var ctx = $('#canvas')[0].getContext("2d");
//draw a circle
gradient = ctx.createRadialGradient(200, 200, 0, 200, 200, 200);
gradient.addColorStop("0", "blue");
gradient.addColorStop("1.0", "transparent");
ctx.fillStyle = gradient;
//ctx.beginPath();
ctx.arc(200, 200, 200, 0, Math.PI*2, true);
//ctx.closePath();
ctx.fill();

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