Name
Abstract | ||
|---|---|---|
Three-dimensional PDE-based volume reconstruction from slice data is proposed.The Allen-Cahn and Cahn-Hilliard equations are used in the model.The algorithm can automatically reconstruct 3D geometries using slice data. 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. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.cviu.2015.02.001 | Computer Vision and Image Understanding |
Keywords | Field | DocType |
Image segmentation,Image inpainting,Volume reconstruction,Allen–Cahn equation,Cahn–Hilliard equation,Multigrid method | Allen–Cahn equation,Nonlinear system,Cahn–Hilliard equation,Image segmentation,Artificial intelligence,Wafer,Computer vision,Mathematical optimization,Algorithm,Numerical analysis,Phase field models,Mathematics,Multigrid method | Journal |
Volume | Issue | ISSN |
137 | C | 1077-3142 |
Citations | PageRank | References |
7 | 0.55 | 17 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yibao Li | 1 | 105 | 10.53 |
| Jaemin Shin | 2 | 13 | 3.09 |
| Yongho Choi | 3 | 17 | 2.48 |
| Junseok Kim | 4 | 293 | 38.33 |