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A Study on Filling Holes of the Polygon Model using Implicit Surface Scheme  

Yoo Dong-Jin (대진대학교 컴퓨터응용기계설계공학과)
Publication Information
Abstract
A new approach which combines implicit surface scheme and point projection method is presented in order to fill the arbitrarily shaped holes in the polygon model. In the method a trimmed surface which has an outer boundary curve is generated by using the implicit surface scheme and normal projection of point onto the base surface. The base surface is constructed by creating smooth implicit surface from the incomplete polygon model through which the surface should pass. In this paper an implicit surface is defined by a radial basis function, a continuous scalar-valued function over the domain $R^3$. The base surface is the set of all points at which this scalar function takes on the value zero and is created by placing zero-valued constraints at the vertices of the polygon model. In order to show the validity of the present study, various hole fillings are carried out for the complex polygon model of arbitrary topology.
Keywords
Hole-filling; Implicit surface; Trimmed surface; Radial basis function;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
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1 Yoo, D. J., 'A Study on Filling Holes of the Polygon Model,' Journal of the Korean Society of Precision Engineering, Submitted
2 Les Piegl and Wayne Tiller, The NURBS Book, Springer, 1995
3 loater, M. S., Iske, A. A., 'Multistep scattered data interpolation using compactly supported radial basis functions,' Journal of Comp. Appl. Math., Vol. 73, pp. 65-78,1996   DOI   ScienceOn
4 Lazzaro, D., Montefusco, L. B., 'Radial basis functions for multivariate interpolation of large scattered data sets,' Journal of Computational and Applied Math., Vol. 140, pp. 521-536,2002   DOI   ScienceOn
5 Turk, G. and O'Brien, J. F., 'Variational implicit surfaces,' Tech. Rep. GIT-GVU-99-15, Georgia Institute of Technology, May, 1999
6 Jun, Y. T., Park, K. H., Rho, H. M. and Choi, Y., 'A Study on Filling Polygonal Holes in a Polygon-based Reverse Engineering System,' Journal of the Korean Society of Precision Engineering, Vol. 21, No.4, pp. 140-147,2004
7 Catrnull, E., Clark, J., 'Recursively generated Bspline surfaces on arbitrary topological meshes,' Computer-Aided Design, Vol. 10,pp. 350-355, 1978   DOI   ScienceOn
8 Carr, J. C., Beatson, R. K., Cherrie, J. B., Mitchell, T. J., Fright, W. R., McCallum, B. C., Evans, T. R., ' Reconstruction and representation of 3D objects with radial basis functions,' In Proceedings of SIGGRAPH 2001, pp. 67-76, 2001   DOI
9 Schroeder, J., Zarge, J., Lorensen, W., 'Decimation of Triangle Meshes,' Computer Graphics, Vol. 26, pp. 65-70, 1992   DOI
10 Piegl, L. and Tiller, W., 'Filling N-sided regions with NURBS patch,' The Visual Computer, Vol. 15, pp. 77-89,1999   DOI
11 Besl, P. J., Mckay, N. D., 'A method for registration of 3-D shape,' IEEE Trans. Pattern Anal Mach. Intell., Vol. 14, pp. 239-256, 1992   DOI   ScienceOn