Abstract
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.
Original language | English |
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Article number | 5971295 |
Journal | Mathematical Problems in Engineering |
Volume | 2017 |
DOIs | |
Publication status | Published - 2017 |
ASJC Scopus subject areas
- Mathematics(all)
- Engineering(all)