Curve and Surface Smoothing Using a Modified Cahn-Hilliard Equation

Abstract EN

We present a new method using the modified Cahn-Hilliard (CH) equation for smoothing piecewise linear shapes of two- and three-dimensional objects.

The CH equation has good smoothing dynamics and it is coupled with a fidelity term which keeps the original given data; that is, it does not produce significant shrinkage.

The modified CH equation is discretized using a linearly stable splitting scheme in time and the resulting scheme is solved by using a Fourier spectral method.

We present computational results for both curve and surface smoothing problems.

The computational results demonstrate that the proposed algorithm is fast and efficient.