Curve and surface smoothing using a modified Cahn-Hilliard equation
type: Item
instance of: scholarly article
title: Curve and surface smoothing using a modified Cahn-Hilliard equation
zbMATH Open document ID: 1426.76523
DOI: 10.1155/2017/5971295
author: Yongho Choi
author: Darea Jeong
author: Junseok Kim
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 6972273
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/5971295
OpenAlex ID: W2766919877
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description: scientific article; zbMATH DE number 6972273