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

Bibliographical note

Funding Information:
The first author (Y. Choi) was supported by the BK21 PLUS program. The corresponding author (J. S. Kim) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2016R1D1A1B03933243).

Publisher Copyright:
© 2017 Yongho Choi et al.

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering


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