A system for processing an image includes a three-dimensional camera that captures an image of a dairy livestock, wherein the image comprises a plurality of adjacent pixels, each pixel associated with a depth location. The system further includes a processor communicatively coupled to the three-dimensional camera. The processor determines that the depth locations of a first portion of the adjacent pixels fluctuate beyond a predetermined threshold over time, and discards the first portion of the adjacent pixels from the image based at least in part upon the determination.