This demonstrates the polar decomposition of 2D matrices into their angle, scale, and shear components. The polarDecomp algorithm is taken from Shoemake & Duff “Matrix Animation and Polar Decomposition“, 1992.
Mathematica 7 introduces a new Image function that eliminates all the hassle previously necessary to create and export pixel-perfect raster images.
I was asked what the purpose is of the test image in my previous post, and why the alpha was set to 0.01 rather than 0 in alternating pixels.
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I keep having to figure out how to export pixel-perfect raster images from Mathematica, which I use for test images with my software. I found that it’s simpler to use ArrayPlot than Raster now, so I’m documenting this for my future use (and any one else’s).
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