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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.18 No.1
- 발행연도
- 2014.3
- 수록면
- 27 - 41 (15page)
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초록· 키워드
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In this paper, we present an efficient numerical method for multiphase image segmentation using a multiphase-field model. The method combines the vector-valued Allen- Cahn phase-field equation with initial data fitting terms containing prescribed interface width and fidelity constants. An efficient numerical solution is achieved using the recently developed hybrid operator splitting method for the vector-valued Allen-Cahn phase-field equation. We split the modified vector-valued Allen-Cahn equation into a nonlinear equation and a linear diffusion equation with a source term. The linear diffusion equation is discretized using an implicit scheme and the resulting implicit discrete system of equations is solved by a multigrid method. The nonlinear equation is solved semi-analytically using a closed-form solution. And by treating the source term of the linear diffusion equation explicitly, we solve the modified vector-valued Allen-Cahn equation in a decoupled way. By decoupling the governing equation, we can speed up the segmentation process with multiple phases. We perform some characteristic numerical experiments for multiphase image segmentation.
목차
ABSTRACT
1. INTRODUCTION
2. MODIFIED ALLEN-CAHN PHASE-FIELD MODEL FOR IMAGE SEGMENTATION
3. AN OPERATOR SPLITING METHOD FOR VECTOR-VALUED AC EQUATIONS
4. NUMERICAL EXPERIMENTS FOR IMAGE SEGMENTATION
5. CONCLUSIONS
REFERENCES
참고문헌 (55)
참고문헌 신청
1. [학술지(정기간행물)] - S. M. Allen / 1979 / A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening / Acta Metallurgica 27 : 1085 ~ 1095
2. [학술지(정기간행물)] - A. A. Wheeler / 1992 / Phase-field model for isothermal phase transitions in binary alloys / Physical Review A 45 : 7424 ~ 7439
3. [학술지(정기간행물)] - M. Cheng / 2008 / An efficient algorithm for solving the phase field crystal model / Journal of Computational Physics 227 : 6241 ~ 6248
4. [학술지(정기간행물)] - Y. Li / 2011 / A fast, robust, and accurate operator splitting method for phase-field simulations of crystal growth / Journal of Crystal Growth 321 : 176 ~ 182
5. [학술지(정기간행물)] - YIBAO LI / 2012 / A ROBUST AND ACCURATE PHASE-FIELD SIMULATION OF SNOW CRYSTAL GROWTH / Journal of the Korean Society for Industrial and Applied Mathematics 16 (1) : 15 ~ 29
2. [학술지(정기간행물)] - A. A. Wheeler / 1992 / Phase-field model for isothermal phase transitions in binary alloys / Physical Review A 45 : 7424 ~ 7439
3. [학술지(정기간행물)] - M. Cheng / 2008 / An efficient algorithm for solving the phase field crystal model / Journal of Computational Physics 227 : 6241 ~ 6248
4. [학술지(정기간행물)] - Y. Li / 2011 / A fast, robust, and accurate operator splitting method for phase-field simulations of crystal growth / Journal of Crystal Growth 321 : 176 ~ 182
5. [학술지(정기간행물)] - YIBAO LI / 2012 / A ROBUST AND ACCURATE PHASE-FIELD SIMULATION OF SNOW CRYSTAL GROWTH / Journal of the Korean Society for Industrial and Applied Mathematics 16 (1) : 15 ~ 29
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