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A MODIFIED CAHN–HILLIARD EQUATION FOR 3D VOLUME RECONSTRUCTION FROM TWO PLANAR CROSS SECTIONSA MODIFIED CAHN–HILLIARD EQUATION FOR 3D VOLUME RECONSTRUCTION FROM TWO PLANAR CROSS SECTIONS
- Other Titles
- A MODIFIED CAHN–HILLIARD EQUATION FOR 3D VOLUME RECONSTRUCTION FROM TWO PLANAR CROSS SECTIONS
- Issue Date
- 2015
- Publisher
- 한국산업응용수학회
- Keywords
- Volume reconstruction; image inpainting; Cahn–Hilliard equation; linear interpolation; finite difference method.
- Citation
- Journal of the Korean Society for Industrial and Applied Mathematics, v.19, no.1, pp.47 - 56
- Indexed
- KCI
- Volume
- 19
- Number
- 1
- Start Page
- 47
- End Page
- 56
- ISSN
- 1226-9433
- Abstract
- In this paper, we present an implicit method for reconstructing a 3D solid modelfrom two 2D cross section images. The proposed method is based on the Cahn–Hilliard modelfor the image inpainting. Image inpainting is the process of reconstructing lost parts of imagesbased on information from neighboring areas. We treat the empty region between thetwo cross sections as inpainting region and use two cross sections as neighboring information. We initialize the empty region by the linear interpolation. We perform numerical experimentsdemonstrating that our proposed method can generate a smooth 3D solid model from two crosssection data. 1
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Related Researcher
- Kim, Jun seok
- College of Science (Department of Mathematics)