Computational Analysis of PDE-Based Shape Analysis Models by Exploring the Damped Wave Equation

The computation of correspondences between shapes is a principal task in shape analysis. In this work, we consider constructed by numerical solution partial differential equations (PDEs). underlying model interest thereby the classic wave equation, since may give most accurate matching. As has been observed previous works, time discretisation substantial influence on matching quality. Therefore, it to understand mechanisms and investigate at same if there an analytical that could best describe suitable method for To end, study here damped which mainly serves as tool properties discretisation. At hand detailed possible parameters, illustrate gives reasonable feature descriptors benefits from damping mechanism can be introduced numerically or within PDE. This sheds light some basic computational analytic models, one conjecture our investigation ideal composed transport diffusive component helps counter grid effects.