Abstract
A novel region growing algorithm is proposed for triangular mesh recovery from scattered 3D points. In our method, the new principle is used to determine the seed triangle considering both maximum angle and minimum length; the open influence region is defined for the active edge under processing; positional element is added into the criterion to choose the most suitable active point; geometric integrity is maintained by analyzing different situations of the selected active point and their corresponding treatments. Our approach has been tested with various unorganized point clouds, and the experimental results proved its efficiency in both accuracy and speed. Compared with the existing similar techniques, our algorithm has the ability to recover triangular meshes while preserving better topological coherence with the original 3D points.
Keywords
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Kuo, C.-C., Yau, H.-T.: Reconstruction of virtual parts from unorganized scanned data for automated dimensional inspection. J. Comput Inf. Sci. Eng. Trans. ASME 3(1), 76–86 (2003)
Kolingerova, I., Zalik, B.: Reconstructing domain boundaries within a given set of points using Delaunay triangulation. Computers & Geosciences 32(9), 1310–1319 (2006)
Wang, D., Hassan, O., Morgan, K., Weatherill, N.: Efficient surface reconstruction from contours based on two-dimensional delaunay triangulation. International Journal for Numerical Methods in Engineering 65(5), 734–751 (2006)
Hoppe, H., DeRose, T., Duchampy, T., McDonaldz, J., Stuetzlez, W.: Surface reconstruction from unorganized points. In: Proceedings of SIGGRAPH 1992, pp. 71–78 (1992)
Carr, J.-C., Beatson, R.-K., Cherrie, J.-B., Mitchell, T.-J., Fright, W.-R., McCallum, B.-C.: Reconstruction and representation of 3D objects with radial basis functions. In: Proceedings of SIGGRAPH 2001, pp. 67–76 (2001)
Schreiner, J., Scheiclegger, C.-E., Silva, C.-T.: High-quality extraction of Isosurfaces from regular and irregular grids. Visualization and Computer Graphics 12(5), 1205–1212 (2006)
Bernardini, F., Mittleman, J., Rushmeier, H., Silva, C., Taubin, G.: The ball pivoting algorithm for surface reconstruction. IEEE Trans. Vis. Comput. Graph. 5(4), 349–359 (1999)
Petitjean, S., Boyer, E.: Regular and non-regular point sets: properties and reconstruction. Comput. Geom. Theory 19, 101–126 (2001)
Huang, J., Menq, C.-H.: Combinatorial manifold mesh reconstruction and optimization from unorganized points with arbitrary topology. Comput-Aided Design 34(2), 149–165 (2002)
Lin, H., Tai, C., Wang, G.: A mesh reconstruction algorithm driven by an intrinsic property of a point cloud. Computer Aided Design 36(1), 1–9 (2004)
DoRego, R.-L., Araujo, A.-F., De, L.-N., Fernando, B.: Growing self-organizing maps for surface reconstruction from unstructured point clouds. In: IEEE International Conference on Neural Networks, pp. 1900–1905 (2007)
Lv, H., Wang, Y.: A heuristic approach to reconstruct triangle mesh from unorganized point cloud. In: The 6th International Conference on Fuzzy Systems and Knowledge Discovery, pp. 87–91 (2009)
Jagan, S., Hanan, S., Amitabh, V.: A fast all nearest neighbor algorithm for applications involving large point-clouds. Computers & Graphics 31, 157–174 (2007)
Boissonant, J.-D., Cazals, F.: Smooth surface reconstruction via natural neighbor interpolation of distance functions. In: Proceedings of 16th Annual Symposium On Computational Geometry (SCG 2000), Hong Kong, pp. 223–232 (2000)
Cheng, W., Sorguc, A.-G., Shinoda, J., Hagiwara, I.: MOAA and topology judgment for mesh construction. American Society of Mechanical Engineers 482, 227–238 (2004)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Long, C. et al. (2011). A New Region Growing Algorithm for Triangular Mesh Recovery from Scattered 3D Points. In: Pan, Z., Cheok, A.D., Müller, W. (eds) Transactions on Edutainment VI. Lecture Notes in Computer Science, vol 6758. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22639-7_23
Download citation
DOI: https://doi.org/10.1007/978-3-642-22639-7_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22638-0
Online ISBN: 978-3-642-22639-7
eBook Packages: Computer ScienceComputer Science (R0)