Automatic Binary Data Classification Using a Modified Allen-Cahn Equation
- Authors
- Kim, S.; Kim, J.
- Issue Date
- 30-3월-2021
- Publisher
- World Scientific
- Keywords
- Binary data classification; modified Allen-Cahn equation; operator splitting method
- Citation
- International Journal of Pattern Recognition and Artificial Intelligence, v.35, no.4
- Indexed
- SCIE
SCOPUS
- Journal Title
- International Journal of Pattern Recognition and Artificial Intelligence
- Volume
- 35
- Number
- 4
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/129040
- DOI
- 10.1142/S0218001421500130
- ISSN
- 0218-0014
- Abstract
- In this paper, we propose an automatic binary data classification method using a modified Allen-Cahn (AC) equation. The modified AC equation was originally developed for image segmentation. The equation consists of the AC equation with a fidelity term which enforces the solution to be the given data. In the proposed method, we start from a coarse grid and refine the grid until the accuracy of the data classification reaches a given tolerance. Therefore, we can avoid a laborious trial and error procedure. For a numerical method for the modified AC equation, we use a recently developed explicit hybrid scheme. We perform several 2D and 3D computational tests to demonstrate the performance of the proposed method. The computational results confirm that the proposed algorithm is automatic. © 2021 World Scientific Publishing Company.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Science > Department of Mathematics > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.