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If you're going to try to characterize a face by dimensions, you'll want to look into building a number of filters. For example, conversion to grayscale, sobel (or some other form of) edge detection, grabbing a histogram and normalizing it, or increasing contrast, etc. You can have more fun playing with that for a while, picking up whatever math you're missing as you go, than just doing a year's worth of reading on pattern-recognition all at once.
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