Curve and Surface Smoothing Using a Modified Cahn-Hilliard Equation

Yongho Choi, Darea Jeong, Junseok Kim

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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 languageEnglish
Article number5971295
JournalMathematical Problems in Engineering
Publication statusPublished - 2017

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)


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