Abstract-This survey paper presents recent advances in evaluating and measuring the perceived visual quality of 3D polygonal models. The paper analyzes the general process of objective quality assessment metrics and subjective user evaluation methods and presents a taxonomy of existing solutions. Simple geometric error computed directly on the 3D models does not necessarily reflect the perceived visual quality; therefore, integrating perceptual issues for 3D quality assessment is of great significance. This paper discusses existing metrics, including perceptually based ones, computed either on 3D data or on 2D projections, and evaluates their performance for their correlation with existing subjective studies.