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Surface Reconstruction of Freeform Objects Based on Multiresolution Volumetric Method for Distributed CAD

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Methods and Tools for Co-operative and Integrated Design

Abstract

Reverse engineering processes have recently become an essential part of distributed design systems. This is particularly relevant when no CAD model is available so the physical model is used as a base for the design. This paper describes a new and fast reverse engineering method for creating a 3D computerized model from a cloud of points sampled from an object’s boundary. The proposed method aggregates large-scale 3D scanned data into a Hierarchical Space Decomposition Model (HSDM), realized by the Octree data structure. This model can represent both the boundary surface and the interior volume of an object. Based on the proposed volumetric model, the boundary reconstruction process becomes more robust and stable with respect to sampling noise. The hierarchical structure of the proposed volumetric model enables data reduction, while preserving sharp geometrical features and object topology. As a result of data reduction, the computation time of the reconstruction process is significantly reduced. Moreover, the proposed model naturally allows multiresolution boundary extraction, represented by a mesh with regular properties. This representation is highly suitable for a distributed CAD environment, where it can facilitate reconstruction, rendering and modeling performance. The proposed surface reconstruction approach is based on Connectivity Graph (CG) extraction from HSDM, and facet reconstruction. This method’s feasibility will be presented on a number of complex objects.

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References

  1. Várady T., Martin R.R., Cox J. Reverse engineering of geometric models-an introduction, Computer Aided Design, 29 (4): 255–268, 1997.

    Article  Google Scholar 

  2. CATIA, Cloud to geometry, User’s Guide, April 1997.

    Google Scholar 

  3. Kass M., Witkin A., Terzopoulos D., Snakes: Active contour models, International Journal on Computer Vision, 1: 321–331, 1988.

    Article  Google Scholar 

  4. Zhao H., Osher S., Fedkiw R., Fast surface reconstruction using the level set method, in 1st IEEE Workshop on Variational and Level Set Methods, Vancouver, 2001.

    Google Scholar 

  5. Doi A., Fujiwara S., Matsuda K., Kameda M., 3D volume extraction and mesh generation using energy minimization techniques, in 1st International Symposium on 3D Data Processing Visualization and Transmission, pp. 83–86, IEEE, June 2002.

    Google Scholar 

  6. Boissonat J.D., Representing 2D and 3D shapes with the Delaunay triangulation, in Seventh International Conference on Pattern Recognition (Montreal, Canada, July 30- August 2, 1984), pp. 745–748, IEEE, 1984.

    Google Scholar 

  7. Edelsbrunner H., Mücke E.P., Three-dimensional alpha shapes, ACM Transactions on Graphics, 13 (1): 43–72, Jan. 1994.

    MATH  Google Scholar 

  8. Amenta N., Choi S., Kolluri R., The power crust, in 6th ACM Symposium on Solid Modeling and Applications, Ann Arbor, MI, June 2001.

    Google Scholar 

  9. Dey T., Giesen J., Hudson J., A Delaunay based shape reconstruction from large data, 2001.

    Google Scholar 

  10. Mencl R., Müller H., Graph-based surface reconstruction using structures in scattered point sets, in Proceedings of the Conference on Computer Graphics International 1998 (CGI-98), pp. 298–311, IEEE Computer Society, Los Alamitos, California, June 1998.

    Google Scholar 

  11. Hoppe H., DeRose T., Duchamp T., McDonald J., Stuetzle W., Surface reconstruction from unorganized points, Computer Graphics, 26 (2): 71–78, 1992.

    Article  Google Scholar 

  12. Lorensen W., Cline H., Marching cubes: a high resolution 3D surface construction algorithm, Computer Graphics, 21 (4): 163–169, July 1987.

    Article  Google Scholar 

  13. Curless B., Levoy, M., A volumetric method for building complex models from range images, Computer Graphics, 30 (Annual Conference Series), pp. 303–312, 1996.

    Google Scholar 

  14. Bernardini F., Mittleman J., Rushmeier H., Silva C., Taubin G., The ball-pivoting algorithm for surface reconstruction, IEEE Transactions on Visualization and Computer Graphics, 5 (4): 349–359, Oct./Dec. 1999.

    Google Scholar 

  15. Kobbelt L.P., Botsch M., Schwanecke U., Seidel H.-P., Feature-sensitive surface extraction from volume data, in SIGGRAPH 2001 Conference Proceedings, pp. 57–66, ACM SIGGRAPH, 2001.

    Google Scholar 

  16. Bernardini F., Bajaj C.L., Chen J., Schikore D.R., Automatic reconstruction of 3D CAD models from digital scans, International Journal of Computational Geometry and Applications (IJCGA), 9 (45): 327–370, Aug. Oct. 1999.

    Google Scholar 

  17. Gran C.A., Octree-based Simplification of Polyhedral Solids, PhD thesis, University of Catalonia, 1999.

    Google Scholar 

  18. Brunet P., Ayala D., Extended octree representation of free form surfaces, Computer Aided Geometric Design, 4 (1–2): 141–154, July 1987.

    Article  MathSciNet  MATH  Google Scholar 

  19. Hoppe H., Surface Reconstruction from Unorganized Points, PhD thesis, University of Washington, 1996.

    Google Scholar 

  20. Rossignac J., Borrel, P., Multiresolution 3D approximation for rendering complex scenes, in Second Conference on Geometric Modeling in Computer Graphics, pp. 453–465, Geneva, Italy, June 1993.

    Google Scholar 

  21. Perona P., Malik J., Scale-space and edge detection using anisotropic diffusion, IEEE PAMI, 12: 629–639, 1990.

    Article  Google Scholar 

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© 2004 Springer Science+Business Media Dordrecht

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Azernikov, S., Fischer, A. (2004). Surface Reconstruction of Freeform Objects Based on Multiresolution Volumetric Method for Distributed CAD. In: Tichkiewitch, S., Brissaud, D. (eds) Methods and Tools for Co-operative and Integrated Design. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2256-8_10

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  • DOI: https://doi.org/10.1007/978-94-017-2256-8_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6536-0

  • Online ISBN: 978-94-017-2256-8

  • eBook Packages: Springer Book Archive

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