TY - JOUR
T1 - Fast and Efficient Numerical Finite Difference Method for Multiphase Image Segmentation
AU - Li, Yibao
AU - Yoon, Sungha
AU - Wang, Jian
AU - Park, Jintae
AU - Kim, Sangkwon
AU - Lee, Chaeyoung
AU - Kim, Hyundong
AU - Kim, Junseok
N1 - Funding Information:
Yibao Li was supported by the National Natural Science Foundation of China (nos. 11601416 and 11631012). Junseok Kim was supported by the National Research Foundation (NRF), Korea, under project no. BK21 FOUR.
Publisher Copyright:
© 2021 Yibao Li et al.
PY - 2021
Y1 - 2021
N2 - We present a simple numerical solution algorithm for a gradient flow for the Modica-Mortola functional and numerically investigate its dynamics. The proposed numerical algorithm involves both the operator splitting and the explicit Euler methods. A time step formula is derived from the stability analysis, and the goodness of fit of transition width is tested. We perform various numerical experiments to investigate the property of the gradient flow equation, to verify the characteristics of our method in the image segmentation application, and to analyze the effect of parameters. In particular, we propose an initialization process based on target objects. Furthermore, we conduct comparison tests in order to check the performance of our proposed method.
AB - We present a simple numerical solution algorithm for a gradient flow for the Modica-Mortola functional and numerically investigate its dynamics. The proposed numerical algorithm involves both the operator splitting and the explicit Euler methods. A time step formula is derived from the stability analysis, and the goodness of fit of transition width is tested. We perform various numerical experiments to investigate the property of the gradient flow equation, to verify the characteristics of our method in the image segmentation application, and to analyze the effect of parameters. In particular, we propose an initialization process based on target objects. Furthermore, we conduct comparison tests in order to check the performance of our proposed method.
UR - http://www.scopus.com/inward/record.url?scp=85120526695&partnerID=8YFLogxK
U2 - 10.1155/2021/2414209
DO - 10.1155/2021/2414209
M3 - Article
AN - SCOPUS:85120526695
VL - 2021
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
SN - 1024-123X
M1 - 2414209
ER -