This thesis aims to investigate three different aspect of classic topology optimisation (TO) problems. Firstly, a literature survey on TO methods/algorithms used in literature is conducted. The focus is on both the problem formulation, which is always formulated in a general sense by considering inhomogeneous Neumann-Dirichlet boundary conditions, and the exploitation/recovery of the optimised topology in a computer-aided design (CAD) environment. To this end, particular attention is paid to the TO algorithm based on a pseudo-density field reformulated in the context of non-uniform rational basis spline (NURBS) hyper-surfaces developed at the Institut de Mécanique et d’Ingénierie de Bordeaux by M. Montemurro and collaborators.