Three-dimensional volume reconstruction from slice data using phase-field models
- Authors
- Li, Yibao; Shin, Jaemin; Choi, Yongho; Kim, Junseok
- Issue Date
- 8월-2015
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Image segmentation; Image inpainting; Volume reconstruction; Allen-Cahn equation; Cahn-Hilliard equation; Multigrid method
- Citation
- COMPUTER VISION AND IMAGE UNDERSTANDING, v.137, pp.115 - 124
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMPUTER VISION AND IMAGE UNDERSTANDING
- Volume
- 137
- Start Page
- 115
- End Page
- 124
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/92825
- DOI
- 10.1016/j.cviu.2015.02.001
- ISSN
- 1077-3142
- Abstract
- We propose the application of a phase-field framework for three-dimensional volume reconstruction using slice data. The proposed method is based on the Allen-Cahn and Cahn-Hilliard equations, and the algorithm consists of two steps. First, we perform image segmentation on the given raw data using a modified Allen-Cahn equation. Second, we reconstruct a three-dimensional volume using a modified Cahn-Hilliard equation. In the modified Cahn-Hilliard equation, a fidelity term is introduced to keep the solution close to the slice data. The numerical methods use a hybrid method and an unconditionally stable nonlinear splitting scheme. The resulting discrete equations are solved using a multigrid method. The experiments on synthetic and real medical images are performed to demonstrate the accuracy and efficiency of the proposed method. (C) 2015 Elsevier B.V. All rights reserved.
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