A system for processing an image comprises a three-dimensional camera that captures an image of a dairy livestock and a processor communicatively coupled to the three-dimensional camera. The processor accesses a first pixel having a first depth location, a second pixel having a second depth location, and a third pixel having a third depth location. The processor determines that the second pixel is an outlier among the first pixel and the third pixel based upon the first depth location, the second depth location, and the third depth location, and discards the second pixel from the image based at least in part upon the determination.