The group deals with mathematical and computational problems that arise in the study of function spaces and numerical methods suitable for the representation of geometric objects in a computer. The usefulness and application of these computational models ranges from the purely engineering field, linked to design, analysis and manufacturing of mechanical, and more generally, industrial products, to the context of digital image processing. The topics of interest to the group include the theoretical and numerical study of function spaces for geometric modeling and processing, the study of numerical methods for the parameterization of surfaces of arbitrary topology and the construction of curves and surfaces with specific algebraic / geometric properties required in applications such as graphics, robotics and computer numerical control machining.