The Geometric Modelling and Computing Group (CMCG) interest on Geometric
Design (GD) is concerned with the mathematical and
computational issues that arise in generating and processing
geometric information for various engineering applications,
such as mechanical design, process planning, and manufacturing.
The scope of the group's activities encompasses a wide spectrum
of scientific, technological, and other skills, ranging from
rigorous mathematics to the subjective aesthetics of shape.
Computational mathematics of curves and surfaces
Piecewise polynomials are
one of the most popular methods for representing and manipulating shape.
Members of the research group are currently investigating NURBS and Subdivision
for use in geometric design.
Surface reconstruction
This research area consists
in general methods for automatic reconstruction of accurate, concise, piecewise
smooth surface from unorganized 3D points tipically acquired by a 3D scanner.