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)

    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

    Bibliographical note

    Publisher Copyright:
    © 2017 Yongho Choi et al.

    ASJC Scopus subject areas

    • General Mathematics
    • General Engineering

    Fingerprint

    Dive into the research topics of 'Curve and Surface Smoothing Using a Modified Cahn-Hilliard Equation'. Together they form a unique fingerprint.

    Cite this