Curve and Surface Smoothing Using a Modified Cahn-Hilliard Equation

Yongho Choi, Darea Jeong, Junseok Kim

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish
Article number5971295
JournalMathematical Problems in Engineering
Volume2017
DOIs
Publication statusPublished - 2017 Jan 1

Fingerprint

Cahn-Hilliard Equation
Curves and Surfaces
Modified Equations
Smoothing
Computational Results
Fourier Method
Spectral Methods
Shrinkage
Piecewise Linear
Fidelity
Linearly
Three-dimensional
Term
Demonstrate

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

Curve and Surface Smoothing Using a Modified Cahn-Hilliard Equation. / Choi, Yongho; Jeong, Darea; Kim, Junseok.

In: Mathematical Problems in Engineering, Vol. 2017, 5971295, 01.01.2017.

Research output: Contribution to journalArticle

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