Intelligent Computer Graphics 2009 pp 41-61 | Cite as
Information Theory Tools for Viewpoint Selection, Mesh Saliency and Geometry Simplification
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 PolygonPreview
Unable to display preview. Download preview PDF.
References
- 1.Blanz, V., Tarr, M., Bülthoff, H.: What object attributes determine canonical views? Perception 28, 575–599 (1999)CrossRefGoogle Scholar
- 2.Bordoloi, U.D., Shen, H.-W.: Viewpoint evaluation for volume rendering. In: IEEE Visualization 2005, pp. 487–494 (2005)Google Scholar
- 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.Castelló, P., Sbert, M., Chover, M., Feixas, M.: Viewpoint-based simplification using f-divergences. Information Sciences 178(11), 2375–2388 (2008)CrossRefGoogle Scholar
- 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.Christensen, P.: Ambient occlusion, image-based illumination and global illumination. Photorealistic RenderMan Application Notes, Note 35 (2002)Google Scholar
- 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.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.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.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.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.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.González, F., Sbert, M., Feixas, M.: Viewpoint-based ambient occlusion. IEEE Computer Graphics and Applications 28(2), 44–51 (2008)CrossRefGoogle Scholar
- 14.Gooch, B., Reinhard, E., Moulding, C., Shirley, P.: Artistic composition for image creation. In: Rendering Techniques, pp. 83–88 (2001)Google Scholar
- 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.Hoppe, H.: Progressive meshes. In: Proceedings of SIGGRAPH 1996, New Orleans, Louisiana, pp. 99–108 (August 1996); ISBN 0-201-94800-1Google Scholar
- 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.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.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.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.Kim, Y., Varshney, A.: Saliency-guided enhancement for volume visualization. Transactions on Visualization and Computer Graphics 12(5), 925–932 (2006)CrossRefGoogle Scholar
- 22.Landis, H.: Renderman in production. In: Course notes of ACM SIGGRAPH (2002)Google Scholar
- 23.Lee, C.H., Varshney, A., Jacobs, D.W.: Mesh saliency. ACM Transactions on Graphics 24(3), 659–666 (2005)CrossRefGoogle Scholar
- 24.Lindstrom, P., Turk, G.: Image-driven simplification. ACM Transaction Graphics 19(3), 204–241 (2000)CrossRefGoogle Scholar
- 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.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.Melax, S.: A simple, fast, and effective polygon reduction algorithm. Game Developer, 44–48 (November 1998)Google Scholar
- 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.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.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.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.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.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.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.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.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.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.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.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.Zhukov, S., Iones, A., Kronin, G.: An ambient light illumination model. In: Rendering Techniques, pp. 45–56 (1998)Google Scholar