A method includes receiving an image of drill cuttings with a data acquisition system that includes one or more processors, the drill cuttings originating from a wellbore being drilled and including a plurality of particles. The image of the drill cuttings is analyzed with the one or more processors by obtaining three two-dimensional distance measurements for each particle and obtaining four angular measurements for each particle. The one or more processors then determine at least one of a particle size distribution of the drill cuttings and a shape distribution of the drill cuttings based on the three two-dimensional distance measurements and the four angular measurements of each particle.