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2018 | OriginalPaper | Buchkapitel

Filling Hole on the Surface of 3D Point Clouds Based on Reverse Computation of Bezier Curves

verfasst von : Van Sinh Nguyen, Khai Minh Tran, Manh Ha Tran

Erschienen in: Information Systems Design and Intelligent Applications

Verlag: Springer Singapore

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Abstract

Reconstructing the surface of a 3D object is an important step in geometric modeling. This paper presents a proposed method for filling the holes on a surface of 3D point clouds based on reverse computation of Bezier curves. The novelty of the method is processed directly on the 3D point clouds consisting of three steps. In the first step, we extract the exterior boundary of the surface. In the second step, we detect the hole boundary and its extended boundary. In the third step, we fill the holes based on the reverse computation of Bezier curves and surface patch to find and insert missing points into the holes. Our method could process very fast comparing to the existing methods, fill all holes on the surface, and obtain a reconstructed surface that is watertight and close to the initial shape of the input surface.

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Literatur
1.
Zurück zum Zitat P.Verney, “Interprétation géologique de donneés sismiques par une méthode supervisée basée sur la vision cognitive”, PhD Thesis, École Nationale Supérieure des Mines de Paris, 2009. P.Verney, “Interprétation géologique de donneés sismiques par une méthode supervisée basée sur la vision cognitive”, PhD Thesis, École Nationale Supérieure des Mines de Paris, 2009.
2.
Zurück zum Zitat Van Sinh Nguyen, Trong Hai Trinh, Manh Ha Tran, “Hole Boundary Detection of a Surface of 3D point clouds”, Proceedings of International Conference on Advanced Computing and Applications (ACOMP 2015). Pages. 124–129, IEEE ISBN-13: 978-1-4673-8234-2, 2015. Van Sinh Nguyen, Trong Hai Trinh, Manh Ha Tran, “Hole Boundary Detection of a Surface of 3D point clouds”, Proceedings of International Conference on Advanced Computing and Applications (ACOMP 2015). Pages. 124–129, IEEE ISBN-13: 978-1-4673-8234-2, 2015.
3.
Zurück zum Zitat V.S. Nguyen, A. Bac, M. Daniel, “Boundary Extraction and Simplification of a Surface Defined by a Sparse 3D Volume”, The third international symposium on information and communication technology SoICT, pp. 115–124, ACM-ISBN: 978-1-4503- 1232-5, 2012. V.S. Nguyen, A. Bac, M. Daniel, “Boundary Extraction and Simplification of a Surface Defined by a Sparse 3D Volume”, The third international symposium on information and communication technology SoICT, pp. 115–124, ACM-ISBN: 978-1-4503- 1232-5, 2012.
5.
Zurück zum Zitat David F.Rogers, “An Introduction To NURBS With Historical Perspective”, ISBN- 10:1-55860-669-6, Academic Press, 2001. David F.Rogers, “An Introduction To NURBS With Historical Perspective”, ISBN- 10:1-55860-669-6, Academic Press, 2001.
6.
Zurück zum Zitat Syed Belal, Shashank.Kr.Tripathi, Shashank Kaswdhan, Md. Nadeem Akhtar, Satish Kumar Dwivedi, Rahul Singh, “Inverse Point Solution of Bezier Curve”, International Journal of Scientific & Engineering Research, Volume 4, Issue 6, ISSN 2229-5518, June 2013. Syed Belal, Shashank.Kr.Tripathi, Shashank Kaswdhan, Md. Nadeem Akhtar, Satish Kumar Dwivedi, Rahul Singh, “Inverse Point Solution of Bezier Curve”, International Journal of Scientific & Engineering Research, Volume 4, Issue 6, ISSN 2229-5518, June 2013.
7.
Zurück zum Zitat Marta Szilvasi-Nagy, “Filling Holes with B-spline Surfaces”, Journal for Geometry and Graphics Volume 6, No. 1, Pages. 83-98, 2002. Marta Szilvasi-Nagy, “Filling Holes with B-spline Surfaces”, Journal for Geometry and Graphics Volume 6, No. 1, Pages. 83-98, 2002.
8.
Zurück zum Zitat Licio H.B, “Efficient computation of Bezier curves from their Bernstein-Fourier representation”, Journal of Applied Mathematics and Computation, Vol.220, pp. 235–238, 2013. Licio H.B, “Efficient computation of Bezier curves from their Bernstein-Fourier representation”, Journal of Applied Mathematics and Computation, Vol.220, pp. 235–238, 2013.
9.
Zurück zum Zitat Chong P.L, Cheong K.Y “Approximation of free-form curve-airfoil shape”, Journal of Engineering Science and Technology, Vol. 8, No. 6, pp. 692–702, 2013. Chong P.L, Cheong K.Y “Approximation of free-form curve-airfoil shape”, Journal of Engineering Science and Technology, Vol. 8, No. 6, pp. 692–702, 2013.
10.
Zurück zum Zitat Van Sinh Nguyen, “3D Modeling of elevation surfaces from voxel structured point clouds extracted from seismic cubes”, PhD Thesis, Aix-Marseille University, 2013. Van Sinh Nguyen, “3D Modeling of elevation surfaces from voxel structured point clouds extracted from seismic cubes”, PhD Thesis, Aix-Marseille University, 2013.
11.
Zurück zum Zitat Ji Ma, “Surface reconstruction from unorganized point cloud data via progressive local mesh matching”, PhD Thesis, School of Graduate and Postdoctoral Studies, The Univerity of Western Ontario, 2011. Ji Ma, “Surface reconstruction from unorganized point cloud data via progressive local mesh matching”, PhD Thesis, School of Graduate and Postdoctoral Studies, The Univerity of Western Ontario, 2011.
12.
Zurück zum Zitat Nam-Van Tran, “Traitement de surfaces triangule ́es pour la construction des mode`les geologique structuraux”, PhD Thesis, Universite ́ de la Me ́diterrane ́e, 2008. Nam-Van Tran, “Traitement de surfaces triangule ́es pour la construction des mode`les geologique structuraux”, PhD Thesis, Universite ́ de la Me ́diterrane ́e, 2008.
13.
Zurück zum Zitat Van Sinh NGUYEN, Manh Ha TRAN, Ba Cong NHAN, “A Complete Method for Reconstructing an Elevation Surface of 3D Point Clouds”, REV Journal on Electronics and Communications, IEEE ISSN 1859–378X, Vol. 4, No. 34, Pages. 85–91, May 2015. Van Sinh NGUYEN, Manh Ha TRAN, Ba Cong NHAN, “A Complete Method for Reconstructing an Elevation Surface of 3D Point Clouds”, REV Journal on Electronics and Communications, IEEE ISSN 1859–378X, Vol. 4, No. 34, Pages. 85–91, May 2015.
14.
Zurück zum Zitat Yann Quinsat, Claire Lartigue, “Filling holes in digitized point cloud using a morphing-based approach to preserve volume characteristics”, International Journal of Advantages Manufacturing Technology, 81(1), pp. 411–421, 2015. Yann Quinsat, Claire Lartigue, “Filling holes in digitized point cloud using a morphing-based approach to preserve volume characteristics”, International Journal of Advantages Manufacturing Technology, 81(1), pp. 411–421, 2015.
15.
Zurück zum Zitat Hongwei Lin, Wei Chen, Hujun Bao, “Adaptive patch-based mesh fitting for reverse engineering”, Journal of Computer-Aided Design, Vol. 39(2007), pp. 1134–1142, 2007. Hongwei Lin, Wei Chen, Hujun Bao, “Adaptive patch-based mesh fitting for reverse engineering”, Journal of Computer-Aided Design, Vol. 39(2007), pp. 1134–1142, 2007.
16.
Zurück zum Zitat Amitesh.K, Alan .S, Yasushi I, Douglas. R and Bharat.S, “A Hole-filling Algorithm Using Non-uniform Rational B-splines”, in Proceedings of the 16th International Meshing Roundtable, Springer Berlin Heidelberg, 2008, pp. 169–182, 2007. Amitesh.K, Alan .S, Yasushi I, Douglas. R and Bharat.S, “A Hole-filling Algorithm Using Non-uniform Rational B-splines”, in Proceedings of the 16th International Meshing Roundtable, Springer Berlin Heidelberg, 2008, pp. 169–182, 2007.
17.
Zurück zum Zitat Xiao J.Wu, Michael Y.Wang, B.Han, “An Automatic Hole-Filling Algorithm for Polygon Meshes” Computer Aided Design And Applications, Vol. 5, Issue. 6, Pages. 889–899, 2008. Xiao J.Wu, Michael Y.Wang, B.Han, “An Automatic Hole-Filling Algorithm for Polygon Meshes” Computer Aided Design And Applications, Vol. 5, Issue. 6, Pages. 889–899, 2008.
18.
Zurück zum Zitat Gen Li, Xiu-Zi Ye, San-Yuan Zhang, “An algorithm for filling complex holes in reverse engineering” Journal of Engineering with Computers archive, Vol. 24 Issue 2, pp 119–125, Springer-Verlag London, UK, 2008. Gen Li, Xiu-Zi Ye, San-Yuan Zhang, “An algorithm for filling complex holes in reverse engineering” Journal of Engineering with Computers archive, Vol. 24 Issue 2, pp 119–125, Springer-Verlag London, UK, 2008.
19.
Zurück zum Zitat Pave Chalmoviansky, Bert Juttler, “Filling Holes in Point Clouds” Mathematics of Surfaces Lecture Notes in Computer Science, 2003, Vol. 2768/2003, Pages. 196–212, 2003. Pave Chalmoviansky, Bert Juttler, “Filling Holes in Point Clouds” Mathematics of Surfaces Lecture Notes in Computer Science, 2003, Vol. 2768/2003, Pages. 196–212, 2003.
20.
Zurück zum Zitat Zhiyi.Z, Xian.Z, Huayang .Z, “A sampling method based on curvature analysis of cubic Bezier curve”, Journal of Computer, Vol. 9, No. 3, Pages. 595–600, March 2014. Zhiyi.Z, Xian.Z, Huayang .Z, “A sampling method based on curvature analysis of cubic Bezier curve”, Journal of Computer, Vol. 9, No. 3, Pages. 595–600, March 2014.
21.
Zurück zum Zitat J. Kozak, M. Krajnc, “Geometric interpolation by planar cubic polynomial curves”, The journal Computer Aided Geometric Design, 24 (2007), pp. 67–78, 2007. J. Kozak, M. Krajnc, “Geometric interpolation by planar cubic polynomial curves”, The journal Computer Aided Geometric Design, 24 (2007), pp. 67–78, 2007.
24.
Zurück zum Zitat P.Cignoni, C.Rocchini, R.Scopigno, “Metro: Measuring error on simplified surfaces”, The Eurographics Association 1998, 17(2), 1998. P.Cignoni, C.Rocchini, R.Scopigno, “Metro: Measuring error on simplified surfaces”, The Eurographics Association 1998, 17(2), 1998.
25.
Zurück zum Zitat M. Pauly, M. Gross, L.P. Kobbelt, “Efficient simplification of pointsampled surfaces”, Visualization VIS IEEE 2002, Page.163–170, ISBN: 0-7803-7498-3, 2002. M. Pauly, M. Gross, L.P. Kobbelt, “Efficient simplification of pointsampled surfaces”, Visualization VIS IEEE 2002, Page.163–170, ISBN: 0-7803-7498-3, 2002.
26.
Zurück zum Zitat John A. Gregory and Jianwei Zhou, “Filling polygonal holes with bicubic patches”, Journal of Computer Aided Geometric Design, 11(1994), Page. 391–410, 1994. John A. Gregory and Jianwei Zhou, “Filling polygonal holes with bicubic patches”, Journal of Computer Aided Geometric Design, 11(1994), Page. 391–410, 1994.
27.
Zurück zum Zitat A.Sampath, J.Shan, “Building Boundary Tracing and Regularization from Airborne Lidar Point Clouds”, Photogrammetric engineering and remote sensing, Volume. 73, Number. 7, Pages. 805–812, 2007. A.Sampath, J.Shan, “Building Boundary Tracing and Regularization from Airborne Lidar Point Clouds”, Photogrammetric engineering and remote sensing, Volume. 73, Number. 7, Pages. 805–812, 2007.
28.
Zurück zum Zitat Shen Wei, “Building Boundary Extraction Based on LiDAR Point Clouds Data”, The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol. 37, Part. B3b, 2008. Shen Wei, “Building Boundary Extraction Based on LiDAR Point Clouds Data”, The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol. 37, Part. B3b, 2008.
Metadaten
Titel
Filling Hole on the Surface of 3D Point Clouds Based on Reverse Computation of Bezier Curves
verfasst von
Van Sinh Nguyen
Khai Minh Tran
Manh Ha Tran
Copyright-Jahr
2018
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-7512-4_34