complex raster image converted into a complex vector image ( illistrator ai format)

I have an image for personal use that is made up of lots of geometric patterns and colors. I need it converted to a vector image that is crisp and clean and in Adobe Illustrator format (.ai ). I want the final vector to be made out of 3 or 4 sided polygons only, no rounded anything. Crisp and clean. The original image 800x560 contains anywhere between 500-1000 polygons. So it will take some work and please don't use any autotrace apps for features. These have some pretty bad results when dealing with half-tones and images with lots of colors.