AN EXPLICIT NUMERICAL ALGORITHM FOR SURFACE RECONSTRUCTION FROM UNORGANIZED POINTS USING GAUSSIAN FILTER
- Authors
- Kim, Hyundong; Lee, Chaeyoung; Lee, Jaehyun; Kim, Jaeyeon; Yu, Taeyoung; Chung, Gene; Kim, Junseok
- Issue Date
- 3월-2019
- Publisher
- KOREAN SOC INDUSTRIAL & APPLIED MATHEMATICS
- Keywords
- Unorganized points; surface reconstruction; operator splitting method; Gaussian filter
- Citation
- JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, v.23, no.1, pp.31 - 38
- Indexed
- KCI
- Journal Title
- JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
- Volume
- 23
- Number
- 1
- Start Page
- 31
- End Page
- 38
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/67238
- DOI
- 10.12941/jksiam.2019.23.031
- ISSN
- 1226-9433
- Abstract
- We present an explicit numerical algorithm for surface reconstruction from unorganized points using the Gaussian filter. We construct a surface from unorganized points and solve the modified heat equation coupled with a fidelity term which keeps the given points. We apply the operator splitting method. First, instead of solving the diffusion term, we use the Gaussian filter which has the effect of diffusion. Next, we solve the fidelity term by using the fully implicit scheme. To investigate the proposed algorithm, we perform computational experiments and observe good results.
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Collections - College of Science > Department of Mathematics > 1. Journal Articles
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