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John Gatward
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83
tutorials/summed_area/cStyle.scss
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83
tutorials/summed_area/cStyle.scss
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||||
@import "../nord.scss";
|
||||
@import url('https://fonts.googleapis.com/css2?family=Roboto&display=swap');
|
||||
|
||||
$roboto-slab: 'Roboto', sans-serif;
|
||||
|
||||
html {
|
||||
background-color: $nord0;
|
||||
}
|
||||
|
||||
h1 {
|
||||
color: $nord6;
|
||||
font-family: $roboto-slab;
|
||||
font-size: 48pt;
|
||||
}
|
||||
|
||||
p {
|
||||
color: $nord4;
|
||||
font-family: $roboto-slab;
|
||||
font-size: 16pt;
|
||||
}
|
||||
|
||||
code {
|
||||
font-size: 14pt;
|
||||
border: 4px solid $nord13;
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||||
}
|
||||
|
||||
a {
|
||||
color: $nord4;
|
||||
font-family: $roboto-slab;
|
||||
font-size: 24pt;
|
||||
}
|
||||
|
||||
#subsetOutput {
|
||||
color: $nord8;
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}
|
||||
|
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#wholeOutput {
|
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color: $nord15;
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}
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|
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#tlOutput{
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color: $nord12;
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}
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#tOutput{
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color: $nord13;
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}
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#lOutput{
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color: $nord14;
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}
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#sumDiv {
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text-align: center;
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}
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button {
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display: inline-block;
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width: 25%;
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padding: 10px 25px;
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margin: 0.1em;
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border: 4px solid $nord8;
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box-sizing: border-box;
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text-decoration: none;
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font-family: 'Roboto',sans-serif;
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font-size: 14pt;
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color: $nord2;
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background-color: $nord6;
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text-align: center;
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position: relative;
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transition: all 0.15s;
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&:hover {
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background-color: $nord3;
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color: $nord6;
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border-color: $nord10;
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}
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&:focus {
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border: 4px solid $nord8;
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box-sizing: border-box;
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}
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}
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86
tutorials/summed_area/index.html
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86
tutorials/summed_area/index.html
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<!DOCTYPE html>
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<html>
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<script src="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.11.1/highlight.min.js"></script>
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<link rel="stylesheet"
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href="https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.11.1/styles/atom-one-dark.min.css" />
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<link rel="stylesheet" href="style.css" />
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<script src="https://cdnjs.cloudflare.com/ajax/libs/p5.js/1.2.0/p5.min.js"
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integrity="sha512-b/htz6gIyFi3dwSoZ0Uv3cuv3Ony7EeKkacgrcVg8CMzu90n777qveu0PBcbZUA7TzyENGtU+qZRuFAkfqgyoQ=="
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crossorigin="anonymous"></script>
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<script src="script.js"></script>
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<script>
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fetch("snippets/defineCount.js")
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.then(r => r.text())
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.then(code => {
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document.getElementById("define-count").textContent = code;
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if (window.hljs) hljs.highlightElement(document.getElementById("define-count"));
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});
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fetch("snippets/countSquares.js")
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.then(r => r.text())
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.then(code => {
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document.getElementById("count-squares").textContent = code;
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if (window.hljs) hljs.highlightElement(document.getElementById("count-squares"));
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});
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</script>
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<head>
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<h1>Summed-area Table</h1>
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<p>
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A Summed-area table is a data structure and algorithm for quickly and
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efficiently generating the sum of values in a rectangular grid. In image
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processing it is also known as an integral image.
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</p>
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</head>
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<body>
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<p>
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To generate a summed-area table, each cell is given a value which is the
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sum of all values in a rectangular subset where the top left corner is the
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first cell in the grid and where the bottom right cell is the cell you're
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calculating the value for (assumuing the array starts top left).
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</p>
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<pre>
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<code id="define-count" class="js">
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</code>
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</pre>
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<p>
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Now each cell has its own count value. This isn't much help on it's own,
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however we can use it to calculate the sum value of any subset of the grid
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by interrogating 4 cells and performing only 4 additions. NOTE: we have to
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add the 'top left' region as it as been subtracted twice.
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</p>
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<pre>
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<code id="count-squares" class="js">
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</code>
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</pre>
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<p><b>Click</b> a sqaure on the grid to turn it on or off.</p>
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<p><b>Shift+Click</b> two square to define a rectangle.</p>
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<p>
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Press the <b>show count</b> button to display the sum value of each cell
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(in this example a cell's value can only be 0 or 1).
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</p>
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<p>
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Press <b>show rectangles</b> to see the different regions simplified and
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see how
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it changes the sum below.
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</p>
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<div id="sumDiv">
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<a id="subsetOutput">0</a>
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<a> = </a>
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<a id="wholeOutput"> 0</a>
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<a> + </a>
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<a id="tlOutput"> 0</a>
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<a> - </a>
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<a id="lOutput"> 0</a>
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<a> - </a>
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<a id="tOutput"> 0</a>
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</div>
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<button onclick="showCountToggle()">Show count</button>
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<button onclick="toggleRectMode()">Show rectangles</button>
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</body>
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||||
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</html>
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278
tutorials/summed_area/script.js
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278
tutorials/summed_area/script.js
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let myWidth = 800, myHeight = 800, offset = 5;
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let r, n = 10;
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let t = [];
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let tl = null
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let br = null;
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let showCount = false;
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let drawRectMode = 0;
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let sOutput, wOutput, tlOutput, tOutput, lOutput;
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function setup()
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{
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createCanvas(myWidth + 2*offset, myHeight + 2*offset);
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r = myWidth / n;
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for (y = 0; y < n; y ++)
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{
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for (x = 0; x < n; x ++)
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{
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t.push(new cTile(x*r + offset, y*r + offset, r));
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}
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}
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sOutput = document.getElementById('subsetOutput');
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wOutput = document.getElementById('wholeOutput');
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tlOutput = document.getElementById('tlOutput');
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tOutput = document.getElementById('tOutput');
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lOutput = document.getElementById('lOutput');
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}
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function draw()
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{
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background(46, 52, 64);
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t.forEach(e => e.show());
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stroke(156,212,228);
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noFill();
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strokeWeight(5);
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if (tl)
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{
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if (!br)
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{
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rect(tl.x, tl.y, tl.w);
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} else {
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rect(tl.x, tl.y, br.x - tl.x + r, br.y - tl.y + r);
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drawRect(drawRectMode);
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}
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||||
}
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||||
}
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||||
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||||
function defineCount(br)
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{
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let cols = Math.floor(br.x/ r) + 1;
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let rows = Math.floor(br.y/ r) + 1;
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let c = 0;
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// let index = cols + n * rows;
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for (y = 0; y < rows; y++) {
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for (x = 0; x < cols; x++){
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var i = x + n * y;
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if (t[i].s){
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c++;
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}
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}
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}
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return c;
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}
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function countSquares(tl, br)
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{
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let topLeft, left, top, whole;
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let tlx, tly, brx, bry;
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tlx = Math.floor(tl.x / r);
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tly = Math.floor(tl.y / r);
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brx = Math.floor(br.x / r);
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bry = Math.floor(br.y / r);
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topLeft = t[(tlx-1) + n * (tly-1)].count;
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left = t[(tlx-1) + n * bry ].count;
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top = t[brx + n * (tly-1)].count;
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whole = t[brx + n * bry ].count;
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var s = whole + topLeft - top - left;
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if (s < 0)
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s = 0;
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return s;
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}
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function drawRect(n)
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{
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strokeWeight(5);
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noFill();
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switch(n)
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{
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case 1:
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//whole
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stroke(180,142,173);
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fill('rgba(180, 142, 173, 0.05)');
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rect(offset, offset, br.x - offset + br.w, br.y - offset + br.w);
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break;
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case 2:
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//topleft
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stroke(208,135,112);
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fill('rgba(208,135,112, 0.05)');
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rect(offset, offset, tl.x - offset, tl.y - offset);
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break;
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case 3:
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//left
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stroke(163,190,140);
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fill('rgba(163,190,140, 0.05)');
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rect(offset, offset, tl.x - offset, br.y - offset + br.w);
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break;
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case 4:
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//top
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stroke(235,203,139);
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fill('rgba(235,203,139, 0.05)');
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rect(offset, offset, br.x - offset + br.w, tl.y - offset);
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break;
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default:
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||||
break;
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||||
}
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||||
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strokeWeight(1);
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||||
}
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||||
|
||||
function showCountToggle(){
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||||
showCount = !showCount;
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||||
}
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||||
|
||||
function toggleRectMode(){
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||||
if (tl && br)
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||||
{
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||||
var tlx = Math.floor(tl.x / r);
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||||
var tly = Math.floor(tl.y / r);
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||||
var brx = Math.floor(br.x / r);
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||||
var bry = Math.floor(br.y / r);
|
||||
|
||||
var topLeft = t[(tlx-1) + n * (tly-1)].count;
|
||||
var left = t[(tlx-1) + n * bry ].count;
|
||||
var top = t[brx + n * (tly-1)].count;
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||||
var whole = t[brx + n * bry ].count;
|
||||
|
||||
if (drawRectMode == 0){
|
||||
wOutput.innerHTML = whole.toString(10);
|
||||
wOutput.style.fontWeight = "bold";
|
||||
drawRectMode ++;
|
||||
} else if (drawRectMode == 1){
|
||||
tlOutput.innerHTML = topLeft.toString(10);
|
||||
tlOutput.style.fontWeight = "bold";
|
||||
wOutput.style.fontWeight = "normal";
|
||||
drawRectMode ++;
|
||||
} else if (drawRectMode == 2){
|
||||
lOutput.innerHTML = left.toString(10);
|
||||
lOutput.style.fontWeight = "bold";
|
||||
tlOutput.style.fontWeight = "normal";
|
||||
drawRectMode ++;
|
||||
} else if (drawRectMode == 3) {
|
||||
tOutput.innerHTML = top.toString(10);
|
||||
tOutput.style.fontWeight = "bold";
|
||||
lOutput.style.fontWeight = "normal";
|
||||
drawRectMode ++;
|
||||
} else if (drawRectMode == 4) {
|
||||
tOutput.style.fontWeight = "normal";
|
||||
drawRectMode = 0;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
function updateSum()
|
||||
{
|
||||
var tlx = Math.floor(tl.x / r);
|
||||
var tly = Math.floor(tl.y / r);
|
||||
var brx = Math.floor(br.x / r);
|
||||
var bry = Math.floor(br.y / r);
|
||||
|
||||
var topLeft = t[(tlx-1) + n * (tly-1)].count;
|
||||
var left = t[(tlx-1) + n * bry ].count;
|
||||
var top = t[brx + n * (tly-1)].count;
|
||||
var whole = t[brx + n * bry ].count;
|
||||
|
||||
wOutput.innerHTML = whole.toString(10);
|
||||
tlOutput.innerHTML = topLeft.toString(10);
|
||||
lOutput.innerHTML = left.toString(10);
|
||||
tOutput.innerHTML = top.toString(10);
|
||||
sOutput.innerHTML = countSquares(tl,br).toString(10);
|
||||
}
|
||||
|
||||
function mouseClicked(event)
|
||||
{
|
||||
if (event.shiftKey)
|
||||
{
|
||||
if (mouseX > offset && mouseX < myWidth && mouseY > offset && mouseY < myHeight)
|
||||
{
|
||||
let col = Math.floor(mouseX / r);
|
||||
let row = Math.floor(mouseY / r);
|
||||
|
||||
if (tl != null && br != null)
|
||||
{
|
||||
tl = null;
|
||||
br = null;
|
||||
}
|
||||
|
||||
if (!tl)
|
||||
{
|
||||
tl = t[col + n * row];
|
||||
} else {
|
||||
br = t[col + n * row];
|
||||
}
|
||||
|
||||
if (tl != null && br != null)
|
||||
{
|
||||
updateSum();
|
||||
}
|
||||
|
||||
}
|
||||
} else {
|
||||
if (mouseX > 0 && mouseX < myWidth && mouseY > 0 && mouseY < myHeight)
|
||||
{
|
||||
let col = Math.floor(mouseX / r);
|
||||
let row = Math.floor(mouseY / r);
|
||||
t[col + n * row].setState();
|
||||
|
||||
t.forEach(tile => tile.setCount(defineCount(tile)));
|
||||
|
||||
if (tl != null && br != null)
|
||||
{
|
||||
updateSum();
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
class cTile
|
||||
{
|
||||
constructor(_x, _y, _w)
|
||||
{
|
||||
this.x = _x;
|
||||
this.y = _y;
|
||||
this.s = false;
|
||||
this.w = _w;
|
||||
this.count = 0;
|
||||
}
|
||||
|
||||
show()
|
||||
{
|
||||
if (this.s)
|
||||
{
|
||||
fill(191,97,106);
|
||||
} else {
|
||||
noFill();
|
||||
}
|
||||
stroke(236,239,244);
|
||||
strokeWeight(1);
|
||||
rect(this.x, this.y, this.w, this.w);
|
||||
if (showCount)
|
||||
{
|
||||
textSize(18);
|
||||
stroke(255);
|
||||
fill(255);
|
||||
text(this.count.toString(10), this.x + this.w/2 - 3, this.y + this.w/2 + 5);
|
||||
}
|
||||
}
|
||||
|
||||
setState()
|
||||
{
|
||||
this.s = !this.s;
|
||||
}
|
||||
|
||||
setCount(c)
|
||||
{
|
||||
this.count = c;
|
||||
}
|
||||
};
|
||||
14
tutorials/summed_area/snippets/countSquares.js
Normal file
14
tutorials/summed_area/snippets/countSquares.js
Normal file
@@ -0,0 +1,14 @@
|
||||
// where tl and br are the top left and bottom right cell respectively
|
||||
function countSquares(tl, br) {
|
||||
|
||||
// these are the four cells to interrogate
|
||||
let topLeft, left, top, whole;
|
||||
|
||||
// 1d index = x + #rows * y
|
||||
topLeft = t[(tl.x - 1) + n * (tl.y - 1)].count;
|
||||
left = t[(tl.x - 1) + n * bry].count;
|
||||
top = t[br.x + n * (tl.y - 1)].count;
|
||||
whole = t[br.x + n * br.y].count;
|
||||
|
||||
return whole + topLeft - top - left;
|
||||
}
|
||||
16
tutorials/summed_area/snippets/defineCount.js
Normal file
16
tutorials/summed_area/snippets/defineCount.js
Normal file
@@ -0,0 +1,16 @@
|
||||
// where br is the cell we're calculating
|
||||
function defineCount(br) {
|
||||
let c = 0;
|
||||
|
||||
// br.x is the column number
|
||||
// br.y is the row number
|
||||
for (y = 0; y <= br.y; y++) { // loop through all rows above br (and the row br is on)
|
||||
for (x = 0; x <= br.x; x++) { // loop through all columns to the left of br (and br column)
|
||||
var i = x + n * y; // convert 2d array format to 1d index
|
||||
if (t[i].s) { // if cell[i].status==true then increase count
|
||||
c++;
|
||||
}
|
||||
}
|
||||
}
|
||||
return c;
|
||||
}
|
||||
68
tutorials/summed_area/style.css
Normal file
68
tutorials/summed_area/style.css
Normal file
@@ -0,0 +1,68 @@
|
||||
@import url("https://fonts.googleapis.com/css2?family=Roboto&display=swap");
|
||||
html {
|
||||
background-color: #2e3440; }
|
||||
|
||||
h1 {
|
||||
color: #eceff4;
|
||||
font-family: "Roboto", sans-serif;
|
||||
font-size: 48pt; }
|
||||
|
||||
p {
|
||||
color: #d8dee9;
|
||||
font-family: "Roboto", sans-serif;
|
||||
font-size: 16pt; }
|
||||
|
||||
code {
|
||||
font-size: 14pt;
|
||||
border: 4px solid #ebcb8b; }
|
||||
|
||||
a {
|
||||
color: #d8dee9;
|
||||
font-family: "Roboto", sans-serif;
|
||||
font-size: 24pt; }
|
||||
|
||||
#subsetOutput {
|
||||
color: #88c0d0; }
|
||||
|
||||
#wholeOutput {
|
||||
color: #b48ead; }
|
||||
|
||||
#tlOutput {
|
||||
color: #d08770; }
|
||||
|
||||
#tOutput {
|
||||
color: #ebcb8b; }
|
||||
|
||||
#lOutput {
|
||||
color: #a3be8c; }
|
||||
|
||||
#sumDiv {
|
||||
text-align: center; }
|
||||
|
||||
button {
|
||||
display: inline-block;
|
||||
width: 25%;
|
||||
padding: 10px 25px;
|
||||
margin: 0.1em;
|
||||
border: 4px solid #88c0d0;
|
||||
box-sizing: border-box;
|
||||
text-decoration: none;
|
||||
font-family: 'Roboto',sans-serif;
|
||||
font-size: 14pt;
|
||||
color: #434c5e;
|
||||
background-color: #eceff4;
|
||||
text-align: center;
|
||||
position: relative;
|
||||
transition: all 0.15s; }
|
||||
button:hover {
|
||||
background-color: #4c566a;
|
||||
color: #eceff4;
|
||||
border-color: #5e81ac; }
|
||||
button:focus {
|
||||
border: 4px solid #88c0d0;
|
||||
box-sizing: border-box; }
|
||||
|
||||
#chillin {
|
||||
display: none; }
|
||||
|
||||
/*# sourceMappingURL=style.css.map */
|
||||
7
tutorials/summed_area/style.css.map
Normal file
7
tutorials/summed_area/style.css.map
Normal file
@@ -0,0 +1,7 @@
|
||||
{
|
||||
"version": 3,
|
||||
"mappings": "AACQ,2EAAmE;AAI3E,IAAK;EACD,gBAAgB,EC+BZ,OAAO;;AD5Bf,EAAG;EACC,KAAK,ECuID,OAAO;EDtIX,WAAW,EARD,oBAAoB;EAS9B,SAAS,EAAE,IAAI;;AAGnB,CAAE;EACE,KAAK,EC2GD,OAAO;ED1GX,WAAW,EAdD,oBAAoB;EAe9B,SAAS,EAAE,IAAI;;AAGnB,IAAK;EACD,SAAS,EAAE,IAAI;EACf,MAAM,EAAE,iBAAiB;;AAG7B,CAAE;EACE,KAAK,ECgGD,OAAO;ED/FX,WAAW,EAzBD,oBAAoB;EA0B9B,SAAS,EAAE,IAAI;;AAGnB,aAAc;EACV,KAAK,ECuID,OAAO;;ADpIf,YAAa;EACT,KAAK,ECqMA,OAAO;;ADlMhB,SAAS;EACL,KAAK,ECoKA,OAAO;;ADjKhB,QAAQ;EACJ,KAAK,EC0KA,OAAO;;ADvKhB,QAAQ;EACJ,KAAK,ECgLA,OAAO;;AD7KhB,OAAQ;EACJ,UAAU,EAAE,MAAM;;AAGtB,MAAO;EACH,OAAO,EAAE,YAAY;EACrB,KAAK,EAAE,GAAG;EACV,OAAO,EAAE,SAAS;EAClB,MAAM,EAAE,KAAK;EACb,MAAM,EAAE,iBAAgB;EACxB,UAAU,EAAE,UAAU;EACtB,eAAe,EAAE,IAAI;EACrB,WAAW,EAAE,mBAAmB;EAChC,SAAS,EAAE,IAAI;EACf,KAAK,ECMD,OAAO;EDLX,gBAAgB,EC8EZ,OAAO;ED7EX,UAAU,EAAE,MAAM;EAClB,QAAQ,EAAE,QAAQ;EAClB,UAAU,EAAE,SAAS;EAErB,YAAQ;IACJ,gBAAgB,EC+BhB,OAAO;ID9BP,KAAK,ECuEL,OAAO;IDtEP,YAAY,ECgHX,OAAO;ED7GZ,YAAQ;IACJ,MAAM,EAAE,iBAAgB;IACxB,UAAU,EAAE,UAAU;;AAI9B,QAAS;EACL,OAAO,EAAE,IAAI",
|
||||
"sources": ["cStyle.scss","../nord.scss"],
|
||||
"names": [],
|
||||
"file": "style.css"
|
||||
}
|
||||
Reference in New Issue
Block a user