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The Gradient of the Maximal Curvature Estimation for Crest Lines Extraction

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Visual Informatics: Sustaining Research and Innovations (IVIC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7066))

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Abstract

Crest lines are one of the many types of feature lines that illustrate the prominent characteristics of an object’s surface. In this study, we investigate one vital component to extract crest lines, the gradient of the maximal curvature. Most of geometry properties required to calculate crest lines can be obtained from the volume data during the process of the surface construction using implicit surface polygonizer. Nevertheless the gradient of the maximal curvature cannot be obtained due to the nature of the surface construction algorithm. Hence we proposed three weight function based methods in accordance with the knowledge of the surface mesh. We implemented our methods and conducted both qualitative and quantitative analysis on our methods to find the most appropriate method. We also put forward a simple filtering mechanism as a post-processing procedure to enhance the accuracy of the crest lines, which is addressed at the end of this study.

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References

  1. Thiron, J.P., Gourdon, A.: The 3D Marching Lines Algorithm and Its Application to Crest Lines Extraction. Rapport De Recherche, INRIA. No.1672 (1992)

    Google Scholar 

  2. Monga, O., Benayoun, S.: Using Partial Derivatives of 3D Images to Extract Typical Surface Features. Computer Vision and Image Understanding 61(2), 171–189 (1995)

    Article  Google Scholar 

  3. Stylianou, G., Farin, G.: Crest Lines Extraction from 3D Triangulated Meshes. In: Hierarchical and Geometrical Methods in Scientific Visualization, pp. 269–281. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  4. Hildebrandt, K., Polthier, K., Wardetzky, M.: Smooth Feature Lines on Surface Meshes. In: Third Eurographics Symposium on Geometry Processing (SGP 2005), pp. 85–90 (2005)

    Google Scholar 

  5. Yoshizawa, S., Belyaev, A., Seidel, H.-P.: Fast and Robust Detection of Crest Lines on Meshes. In: ACM Symposium on Solid and Physical Modelling (SPM 2005), pp. 227–232 (2005)

    Google Scholar 

  6. Yoshizawa, S., Belyaev, A., Seidel, H.-P.: Fast, Robust and Faithful Method for Detecting Crest Lines on Meshes. Computer Aided Geometric Design 25, 545–560 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  7. Bloomenthal, J.: Polygonization of Implicit Surfaces. Computer Aided Geometric Design 5, 341–355 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  8. Burns, M., Klawe, J., Rusinkiewicz, S., et al.: Line Drawings from Volume Data. ACM Transactions on Graphics (Proc. SIGGRAPH) 24(3), 512–518 (2005)

    Article  Google Scholar 

  9. Yuan, X., Chen, B.: Procedural Image Processing for Visualization. In: Bebis, G., Boyle, R., Parvin, B., Koracin, D., Remagnino, P., Nefian, A., Meenakshisundaram, G., Pascucci, V., Zara, J., Molineros, J., Theisel, H., Malzbender, T. (eds.) ISVC 2006. LNCS, vol. 4291, pp. 50–59. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  10. Howard Zhou, H., Sun, J., Turk, G., Rehg, G.M.: Terrain Synthesis from Digital Elevation Models. IEEE Transactions on Visualization and Computer Graphics 13(4), 834–848 (2007)

    Article  Google Scholar 

  11. Li, Z.J.J., Ferrer, M.A., Travieso, C.M., Alonso, J.B.: Biometric Based on Ridges of Palm Skin Over the Head of the Second Metacarpal Bone. Electronics Letters 42(7), 391–393 (2006)

    Article  Google Scholar 

  12. Zhao, Y.L., Jiang, C.F., Xu, W., et al.: New Algorithm of Automation Fingerprint Recognition. In: International Conference on Engineering and Computer Science, pp. 1–4 (2009)

    Google Scholar 

  13. Du, T.L.H., Duc, D.A., Vu, D.N.: Ridge and Valley based Face Detection. In: International Conference on Research, Innovation and Vision for the Future, pp. 237–243 (2006)

    Google Scholar 

  14. Lengagne, R., Fua, P., Monga, O.: 3D Face Modelling from Stereo and Differential Constraints. In: International Conference on Pattern Recognition, pp. 148–153 (1998)

    Google Scholar 

  15. Prinet, V., Monga, O., Rocchisani, J.M.: Multi-dimensional Vessels Extraction Using Crest Lines. In: IEEE Conf. Eng. in Medicine and Bio., vol. 1, pp. 393–394 (1997)

    Google Scholar 

  16. Elmoutaouakkil, A., Peyrin, F., Elkafi, J., Laval-Jeantet, A.-M.: Segmentation of Cancellous Bone from High-resolution Computed Tomography Images: Influence on Trabecular Bone Measurements. IEEE Trans. Med. Imaging 21(4), 354–362 (2002)

    Article  Google Scholar 

  17. Subsol, G., Roberts, N., Boran, M., et al.: Automatic Analysis of Cerebral Atrophy. Magnetic Resonance Imaging 15(8), 917–927 (1997)

    Article  Google Scholar 

  18. Thirion, J.P.: New Feature Points Based on Geometric Invariants for 3D Image Registration. International Journal of Computer Vision 18(2), 121–137 (1996)

    Article  Google Scholar 

  19. Pan, Z., Belaton, B., Liao, I.Y.: Isosurface Extraction of Volumetric Data Using Implicit Surface Polygonization. In: Third Asia International Conference on Modelling and Simulation, pp. 555–559 (2009)

    Google Scholar 

  20. Lorensen, E., Cline, H.E.: Marching Cubes: A High Resolution 3D Surface Construction Algorithm. Computer Graphics 21(4), 163–169 (1987)

    Article  Google Scholar 

  21. Pan, Z., Belaton, B., Liao, I.Y., Rajion, Z.A.: Finite Difference Error Analysis of Geometry Properties of Implicit Surfaces. In: IEEE Symposium on Computers and Informatics, pp. 413–418 (2011)

    Google Scholar 

  22. Lee, K.W., Wang, W.P.: Feature-Preserving Mesh Denoising via Bilateral Normal Filtering. In: Ninth International Conference on Computer Aided Design and Computer Graphics, pp. 275–280 (2005)

    Google Scholar 

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Zheng, P., Belaton, B., Liao, I.Y., Rajion, Z.A. (2011). The Gradient of the Maximal Curvature Estimation for Crest Lines Extraction. In: Badioze Zaman, H., et al. Visual Informatics: Sustaining Research and Innovations. IVIC 2011. Lecture Notes in Computer Science, vol 7066. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25191-7_19

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  • DOI: https://doi.org/10.1007/978-3-642-25191-7_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25190-0

  • Online ISBN: 978-3-642-25191-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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