Curve and Surface Smoothing Using a Modified Cahn-Hilliard Equation. (25th October 2017)

• Record Type: Journal Article
• Authors: Choi, Yongho; Jeong, Darea; Kim, Junseok
• Other Names: Specogna Ruben Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2017(2017)
• Publication Date: 2017-10-25
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2017/5971295
• Languages: English
• ISSNs: 1024-123X

Abstract

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.