Ricerc@Sapienza

We introduce a new framework for learning dense correspondence between deformable geometric domains such as polygonal meshes and point clouds. Existing learning based approaches model correspondence as a labelling problem, where each point of a query domain receives a label identifying a point on some reference domain; the correspondence is then constructed a posteriori by composing the label predictions of two input geometries.

Shape correspondence is a fundamental problem in computer graphics and vision, with applications in various problems including animation, texture mapping, robotic vision, medical imaging, archaeology and many more. In settings where the shapes are allowed to undergo nonrigid deformations and only partial views are available, the problem becomes very challenging. In this chapter we describe recent techniques designed to tackle such problems. Specifically, we explain how the renown functional maps framework can be extended to tackle the partial setting.