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To find the primary X colors, screencap the app. Run a color histogram on the image. The top X colors in the histogram are the theme. Edit: if gradients are used, you’ll want to pick distinct “peaks” of colors; that is, you may have a whole bunch of colors right around “orange” if orange is one of the main colors used in the gradients. Effectively, just enforce a certain amount of distance between your colors chosen from the histogram.
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Tweaking the color scheme can best be done in HSV space; convert your colors to HSV space, and if the users want it to be “Brighter”, increase the Value, if they want it to be more “Colorful”, increase the Saturation, etc.
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Determining the text color can best be done by characterizing areas of high variability (high frequency in Fourier space). Within those areas, you should have either: two colors, text and background, in which case your text is the lesser-used color; or you’ll have several colors, text and background image colors, in which case the text color is the most common color.