TON: Curve Network Abstraction for 3D Shapes Fernando de Goesa,∗ , Siome Goldensteinb , Mathieu Desbruna , Luiz Velhoc aCalifornia Institute of Technology, Pasadena, CA 91125, USA bInstituto de Computac¸˜ao, UNICAMP, Caixa Postal 6176, 13084-971 Campinas, SP, Brazil cIMPA, Instituto de Matem´atica Pura e Aplicada, Estrada Dona Castorina 110, 22460 Rio de Janeiro, RJ, Brazil paper, we introduce the concept of an exoskeleton as a new abstraction of arbitrary shapes that succinctly conveys both the perceptual and the geometric structure of a 3D model. We extract exoskeletons via a principled framework that combines segmentation and shape approximation. Our method starts from a segmentation of the shape into perceptually relevant parts and then constructs the exoskeleton using a novel extension of the Variational Shape Approximation method. Benefits of the exoskeleton ion to graphics applications such as simplification and chartification are presented.