speedy-vision
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GPU-accelerated Computer Vision for JavaScript
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<!--
speedy-vision.js
GPU-accelerated Computer Vision for JavaScript
Copyright 2020-2022 Alexandre Martins <alemartf(at)gmail.com>
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
qr-decomposition.html
QR decomposition demo
-->
<html>
<head>
<meta charset="utf-8">
<meta name="description" content="speedy-vision.js: GPU-accelerated Computer Vision for JavaScript">
<meta name="author" content="Alexandre Martins">
<title>QR decomposition</title>
<script src="../dist/speedy-vision.js"></script>
<link href="style.css" rel="stylesheet">
</head>
<body>
<h1>QR decomposition</h1>
<form>
<div>
Let's compute a QR factorization of a 3x3 matrix.
<br>
Simply edit the fields below.
</div>
<div class="separator"></div>
<div>
<table>
<tr>
<td><input type="number" id="a0" step="0.5" value="1.0"></td>
<td><input type="number" id="a3" step="0.5" value="0.0"></td>
<td><input type="number" id="a6" step="0.5" value="0.0"></td>
</tr>
<tr>
<td><input type="number" id="a1" step="0.5" value="0.0"></td>
<td><input type="number" id="a4" step="0.5" value="1.0"></td>
<td><input type="number" id="a7" step="0.5" value="0.0"></td>
</tr>
<tr>
<td><input type="number" id="a2" step="0.5" value="0.0"></td>
<td><input type="number" id="a5" step="0.5" value="0.0"></td>
<td><input type="number" id="a8" step="0.5" value="1.0"></td>
</tr>
</table>
</div>
<div class="separator"></div>
</form>
<pre>Edit any field to begin!</pre>
<script>
window.onload = function() {
const output = document.querySelector('pre');
const input = {
a: [ ...(new Array(9).keys()) ].map(j => document.querySelector('#a' + j))
};
// setup event listeners
input.a.forEach(field =>
field.addEventListener('input', qr)
);
// output
function print(x)
{
output.innerText += x.toString() + '\n';
}
function clear()
{
output.innerText = '';
}
// compute and print QR
async function qr()
{
// read the matrix from the input fields
const A = Speedy.Matrix(3, 3, input.a.map(field => Number(field.value)));
// compute QR
const Q = Speedy.Matrix.Zeros(3, 3);
const R = Speedy.Matrix.Zeros(3, 3);
await Speedy.Matrix.qr(Q, R, A);
// print the factorization
clear();
print('Matrix Q:\n');
print(Q);
print('\nMatrix R:\n');
print(R);
// validate
const QR = Speedy.Matrix.Zeros(3, 3);
await QR.setTo(Q.times(R));
print('\nMatrix QR:\n');
print(QR);
}
}
</script>
<mark>Powered by <a href="https://github.com/alemart/speedy-vision">speedy-vision.js</a></mark>
</body>
</html>