In this talk, I will show how to use machine learning to build a system that isolates the effects of two important characteristics of a scene, its shading and reflectance, from a single image. From the observed image, the system estimates a shading image, which captures the interaction of the illumination and shape of the scene pictured, and an albedo image, which represents how the surfaces in the image reflect light. Measured both qualitatively and quantitatively, this system produces state-of-the-art estimates of shading and albedo images. I will also show how this system is flexible enough to be applied to the problem of denoising images.