Information Theory Tools for Viewpoint Selection, Mesh Saliency and Geometry Simplification

  • Mateu Sbert
  • Miquel Feixas
  • Pascual Castelló
  • Miguel Chover
Part of the Studies in Computational Intelligence book series (SCI, volume 240)

Abstract

In this chapter we review the use of an information channel as a unified framework for viewpoint selection, mesh saliency and geometry simplification. Taking the viewpoint distribution as input and object mesh polygons as output vectors, the channel is given by the projected areas of the polygons over the different viewpoints. From this channel, viewpoint entropy and viewpoint mutual information can be defined in a natural way. Reversing this channel, polygonal mutual information is obtained, which is interpreted as an ambient occlusion-like quantity, and from the variation of this polygonal mutual information mesh saliency is defined. Viewpoint entropy, viewpoint Kullback-Leibler distance, and viewpoint mutual information are then applied to mesh simplification, and shown to compare well with a classical geometrical simplification method.

Keywords

Projected Area Edge Collapse Ambient Occlusion Temporal Cost Visible Polygon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Blanz, V., Tarr, M., Bülthoff, H.: What object attributes determine canonical views? Perception 28, 575–599 (1999)CrossRefGoogle Scholar
  2. 2.
    Bordoloi, U.D., Shen, H.-W.: Viewpoint evaluation for volume rendering. In: IEEE Visualization 2005, pp. 487–494 (2005)Google Scholar
  3. 3.
    Burbea, J., Rao, C.R.: On the convexity of some divergence measures based on entropy functions. IEEE Transactions on Information Theory 28(3), 489–495 (1982)MATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    Castelló, P., Sbert, M., Chover, M., Feixas, M.: Viewpoint-based simplification using f-divergences. Information Sciences 178(11), 2375–2388 (2008)CrossRefGoogle Scholar
  5. 5.
    Castelló, P., Sbert, M., Chover, M., Feixas, M.: Viewpoint-driven simplification using mutual information. Computers & Graphics 32(4), 451–463 (2008)CrossRefGoogle Scholar
  6. 6.
    Christensen, P.: Ambient occlusion, image-based illumination and global illumination. Photorealistic RenderMan Application Notes, Note 35 (2002)Google Scholar
  7. 7.
    Cohen, J., Olano, M., Manocha, D.: Appearance-preserving simplification. In: SIGGRAPH 1998: Proceedings of the 25th annual conference on Computer graphics and interactive techniques, pp. 115–122. ACM Press, New York (1998)CrossRefGoogle Scholar
  8. 8.
    Feixas, M.: An Information-Theory Framework for the Study of the Complexity of Visibility and Radiosity in a Scene. PhD thesis, Universitat Politècnica de Catalunya, Barcelona, Spain (December 2002)Google Scholar
  9. 9.
    Feixas, M., Sbert, M., González, F.: A unified information-theoretic framework for viewpoint selection and mesh saliency. ACM Trans. Appl. Percept. 6(1), 1–23 (2009)CrossRefGoogle Scholar
  10. 10.
    Garland, M., Heckbert, P.: Surface simplification using quadric error metrics. In: SIGGRAPH 1997: Proceedings of the 24th annual conference on Computer graphics and interactive techniques, pp. 209–216. ACM Press/Addison-Wesley Publishing Co., New York (1997)CrossRefGoogle Scholar
  11. 11.
    Garland, M., Heckbert, P.S.: Simplifying surfaces with color and texture using quadric error metrics. In: VIS 1998: Proceedings of the conference on Visualization 1998, pp. 263–269. IEEE Computer Society Press, Los Alamitos (1998)Google Scholar
  12. 12.
    González, C., Castelló, P., Chover, M.: A texture-based metric extension for simplification methods. In: Proc. of GRAPP 2007, Barcelona, Spain, pp. 69–77 (2007)Google Scholar
  13. 13.
    González, F., Sbert, M., Feixas, M.: Viewpoint-based ambient occlusion. IEEE Computer Graphics and Applications 28(2), 44–51 (2008)CrossRefGoogle Scholar
  14. 14.
    Gooch, B., Reinhard, E., Moulding, C., Shirley, P.: Artistic composition for image creation. In: Rendering Techniques, pp. 83–88 (2001)Google Scholar
  15. 15.
    Gran, C.A., Alcocer, P.P.V., González, M.F.: Way-finder: Guided tours through complex walkthrough models. Comput. Graph. Forum 23(3), 499–508 (2004)CrossRefGoogle Scholar
  16. 16.
    Hoppe, H.: Progressive meshes. In: Proceedings of SIGGRAPH 1996, New Orleans, Louisiana, pp. 99–108 (August 1996); ISBN 0-201-94800-1Google Scholar
  17. 17.
    Hoppe, H.: New quadric metric for simplifying meshes with appearance attributes. In: VIS 1999: Proceedings of the 10th IEEE Visualization 1999 Conference, Washington, DC, USA. IEEE Computer Society Press, Los Alamitos (1999)Google Scholar
  18. 18.
    Iones, A., Krupkin, A., Sbert, M., Zhukov, S.: Fast, realistic lighting for video games. IEEE Computer Graphics and Applications 23(3), 54–64 (2003)CrossRefGoogle Scholar
  19. 19.
    Itti, L., Koch, C., Niebur, E.: A model of saliency-based visual attention for rapid scene analysis. IEEE Transactions on Pattern Analysis and Machine Intelligence 20(11), 1254–1259 (1998)CrossRefGoogle Scholar
  20. 20.
    Karni, Z., Gotsman, C.: Spectral compression of mesh geometry. In: SIGGRAPH 2000: Proceedings of the 27th annual conference on Computer graphics and interactive techniques, pp. 279–286. ACM Press/Addison-Wesley Publishing Co., New York (2000)CrossRefGoogle Scholar
  21. 21.
    Kim, Y., Varshney, A.: Saliency-guided enhancement for volume visualization. Transactions on Visualization and Computer Graphics 12(5), 925–932 (2006)CrossRefGoogle Scholar
  22. 22.
    Landis, H.: Renderman in production. In: Course notes of ACM SIGGRAPH (2002)Google Scholar
  23. 23.
    Lee, C.H., Varshney, A., Jacobs, D.W.: Mesh saliency. ACM Transactions on Graphics 24(3), 659–666 (2005)CrossRefGoogle Scholar
  24. 24.
    Lindstrom, P., Turk, G.: Image-driven simplification. ACM Transaction Graphics 19(3), 204–241 (2000)CrossRefGoogle Scholar
  25. 25.
    Lu, A., Maciejewski, R., Ebert, D.S.: Volume composition using eye tracking data. In: Proceedings of EuroVis 2006, pp. 655–662 (2006)Google Scholar
  26. 26.
    Luebke, D.P., Hallen, B.: Perceptually-driven simplification for interactive rendering. In: Proceedings of the 12th Eurographics Workshop on Rendering Techniques, London, UK, pp. 223–234. Springer, Heidelberg (2001)Google Scholar
  27. 27.
    Melax, S.: A simple, fast, and effective polygon reduction algorithm. Game Developer, 44–48 (November 1998)Google Scholar
  28. 28.
    Palmer, S., Rosch, E., Chase, P.: Canonical perspective and the perception of objects. Attention and Performance IX, pp. 135–151 (1981)Google Scholar
  29. 29.
    Plemenos, D., Benayada, M.: Intelligent display techniques in scene modelling. new techniques to automatically compute good views. In: International Conference GraphiCon 1996 (1996)Google Scholar
  30. 30.
    Polonsky, O., Patanè, G., Biasotti, S., Gotsman, C., Spagnuolo, M.: What’s in an image? The Visual Computer 21(8-10), 840–847 (2005)CrossRefGoogle Scholar
  31. 31.
    Ruiz, M., Boada, I., Viola, I., Bruckner, S., Feixas, M., Sbert, M.: Obscurance-based volume rendering framework. In: Proceedings of IEEE/EG International Symposium on Volume and Point-Based Graphics 2008, pp. 113–120 (2008)Google Scholar
  32. 32.
    Sbert, M., Plemenos, D., Feixas, M., González, F.: Viewpoint quality: Measures and applications. In: Computational Aesthetics 2005 - First Eurographics Workshop on Computational Aesthetics in Graphics, Visualization and Imaging (CAGVI 2005), Aire-la-Ville, Switzerland, May 2005, pp. 185–192. Eurographics Association (2005)Google Scholar
  33. 33.
    Sokolov, D., Plemenos, D., Tamine, K.: Methods and data structures for virtual world exploration. The Visual Computer 22(7), 506–516 (2006)CrossRefGoogle Scholar
  34. 34.
    Takahashi, S., Fujishiro, I., Takeshima, Y., Nishita, T.: A feature-driven approach to locating optimal viewpoints for volume visualization. In: IEEE Visualization 2005, pp. 495–502 (2005)Google Scholar
  35. 35.
    Vázquez, P.P.: On the Selection of Good Views and its Application to Computer Graphics. PhD thesis, Universitat Politècnica de Catalunya (April 2003)Google Scholar
  36. 36.
    Vázquez, P.P., Feixas, M., Sbert, M., Heidrich, W.: Viewpoint selection using viewpoint entropy. In: Ertl, T., Girod, B., Greiner, G., Niemann, H., Seidel, H.-P. (eds.) Proceedings of Vision, Modeling, and Visualization 2001, Stuttgart, Germany, November 2001, pp. 273–280 (2001)Google Scholar
  37. 37.
    Vázquez, P.-P., Feixas, M., Sbert, M., Heidrich, W.: Automatic view selection using viewpoint entropy and its applications to image-based modelling. Computer Graphics Forum 22(4), 689–700 (2003)CrossRefGoogle Scholar
  38. 38.
    Viola, I., Feixas, M., Sbert, M., Gröller, M.E.: Importance-driven focus of attention. IEEE Transactions on Visualization and Computer Graphics 12(5), 933–940 (2006)CrossRefGoogle Scholar
  39. 39.
    Zhang, E., Turk, G.: Visibility-guided simplification. In: VIS 2002: Proceedings of the conference on Visualization 2002, Washington, DC, USA, 2002, pp. 267–274. IEEE Computer Society Press, Los Alamitos (2002)Google Scholar
  40. 40.
    Zhukov, S., Iones, A., Kronin, G.: An ambient light illumination model. In: Rendering Techniques, pp. 45–56 (1998)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Mateu Sbert
    • 1
  • Miquel Feixas
    • 1
  • Pascual Castelló
    • 2
  • Miguel Chover
    • 2
  1. 1.Graphics and Imaging LaboratoryUniversitat de GironaGironaSpain
  2. 2.Computer Graphics GroupUniversitat Jaume ICastellóSpain

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