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2010-03-15T14:28:58.143
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2010-03-15T14:28:58.143
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As commented by KennyTM you just need an affine transform that is a linear mapping obtained by multiplying every pixel by a matrix M and adding the result to a translation vector V. It's simple math <pre><code>end_pixel_position = M*start_pixel_position + V </code></pre> where M is a composition of simple transformations like rotations or scalings and V is a vector that translates every point of your images by adding fixed coefficients to every pixel. For example if you want to rotate the image you can have a rotation matrix defined as: <pre><code> | cos(a) -sin(a) | M = | | | sin(a) cos(a) | </code></pre> where <code>a</code> is the angle you want to rotate your image by. While scaling uses a matrix of the form: <pre><code> | s1 0 | M = | | | 0 s2 | </code></pre> where <code>s1</code> and <code>s2</code> are scaling factors on both axis. For translation you just have the vector V: <pre><code> | t1 | V = | | | t2 | </code></pre> that adds <code>t1</code> and <code>t2</code> to pixel coordinates. You then combine the matrixes in one single transformation, for example if you have either scaling, rotation and translation you'll end up having something like: <pre><code>| x2 | | x1 | | | = M1 * M2 * | | + T | y2 | | y1 | </code></pre> where: <ul> <li><code>x1</code> and <code>y1</code> are pixel coordinates before applying the transform,</li> <li><code>x2</code> and <code>y2</code> are pixels after the transform, </li> <li><code>M1</code> and <code>M2</code> are matrixes used for scaling and rotation (REMEMBER: the composition of matrixes is not commutative! Usually <code>M1 * M2 * Vect != M2 * M1 * Vect</code>),</li> <li><code>T</code> is a translation vector use to translate every pixel.</li> </ul>
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1. POSkewing an image using Perspective Transforms
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1. USJack
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