Spine based shape parameterisation for PDE surfaces (Q1885220)

The goal of the present study is to show how the spine of a partial differential equation (PDE) surface can be treated and utilised in order to characterise PDE surfaces as well as to enable the development of further intuitive techniques for powerful shape parametrisation. By exploiting the structural form of a closed form solution for the chosen PDE it is shown how the spine of a PDE surface can be generated as a by-product of this solution. Furthermore, it is shown that the spin of the PDE surface patch is represented as a parametric polynomial function that can be used as a shape manipulation tool to deform the shape in an intuitive fashion.