The smoothing properties of variational schemes for surface design Original Research Article

The smoothing properties of variational methods for the design of fair surfaces are considered using a PDE (partial differential equation) model. The PDE is the Euler-Lagrange equation that is obtained from the variational formulation of the surface design problem. The smoothing properties of the design scheme are considered by looking at the schemeʹs efficiency in reducing the amplitude of the various high frequency Fourier harmonics in the surface.