AN EXPLICIT NUMERICAL ALGORITHM FOR SURFACE RECONSTRUCTION FROM UNORGANIZED POINTS USING GAUSSIAN FILTER |
KIM, HYUNDONG
(DEPARTMENT OF MATHEMATICS, KOREA UNIVERSITY)
LEE, CHAEYOUNG (DEPARTMENT OF MATHEMATICS, KOREA UNIVERSITY) LEE, JAEHYUN (SEOUL SCIENCE HIGH SCHOOL) KIM, JAEYEON (SEOUL SCIENCE HIGH SCHOOL) YU, TAEYOUNG (SEOUL SCIENCE HIGH SCHOOL) CHUNG, GENE (SEOUL SCIENCE HIGH SCHOOL) KIM, JUNSEOK (DEPARTMENT OF MATHEMATICS, KOREA UNIVERSITY) |
1 | G. Taubin, Curve and surface smoothing without shrinkage, In Proceedings of IEEE international conference on Computer Vision, (1995), 852-857. |
2 | T. Bulow, Spherical diffusion for 3D surface smoothing, IEEE Trans. Pattern Anal. Mach. Intell. 26, (2004), 1650-1654. DOI |
3 | T. Tasdizen, R. Whitaker, P. Burchard, and S. Osher, Geometric surface smoothing via anisotropic diffusion of normals, In Proceedings of the conference on Visualization, (2002), 125-132. |
4 | T. R. Jones, F. Durand, and M. Desbrun, Non-iterative, feature-preserving mesh smoothing, ACM Trans. Graphics 22 (2003), 943-949. DOI |
5 | L. Rudin, S. Osher, and E. Fatemi, Nonlinear total variation based noise removal algorithms, Phys. D. 60 (1992), 259-268. DOI |
6 | L. Vese, and S. Osher, Modeling textures with total variation minimization and oscillating patterns in image processing, J. Sci. Comput. 19 (2003), 553-572. DOI |
7 | H. K. Zhao, S. Osher, and R. Fedkiw, Fast surface reconstruction using the level set method, In Proceedings IEEE Workshop on Variational and Level Set Methods in Computer Vision, (2001), 194-201. |
8 | Y. Li, D. Lee, C. Lee, J. Lee, S. Lee, J. Kim, S. Ahn, and J. Kim, Surface embedding narrow volume reconstruction from unorganized points, Comput. Vis. Image Underst. 121 (2014), 100-107. DOI |
9 | Y. Li and J. Kim, Fast and efficient narrow volume reconstruction from scattered data, Pattern Recognit. 48 (2015), 4057-4069. DOI |
10 | D. Jeong, Y. Li, H. Lee, S. Lee, J. Yang, S. Park, H. Kim, Y. Choi, and J. Kim, Efficient 3D volume reconstruction from a point cloud using a phase-field method, Math. Probl. Eng. (2018). |
11 | L. Rudin, and S. Osher, Total variation based image restoration with free local constraints, In Proceedings of 1st International Conference on Image Processing, 1 (1994), 31-35. |
12 | Stanford university computer graphics laboratory, http://lightfield. stanford.edu/acq.html. |
13 | H. Li, Y. Li, R. Yu, J. Sun, and J. Kim, Surface reconstruction from unorganized points with gradient minimization, Comput. Vis. Image Underst. 169 (2018) 108-118. DOI |
14 | Y. Li and J. Kim, A fast and accurate numerical method for medical image segmentation, J. KSIAM. 14 (2010), 201-210. |