Michael Wand
ABSTRACT
We present a new output-sensitive rendering algorithm, the randomized z-buffer algorithm. It renders an image of an arbitrary three-dimensional scene consisting of triangular primitives by reconstruction from a dynamically chosen set of random surface sample points. This approach is independent of mesh connectivity and topology. The resulting rendering time grows only logarithmically with the numbers of triangles in the scene. We were able to render walkthroughs of scenes of up to 1014 triangles at interactive frame rates. Automatic identification of low detail scene components ensures that the rendering speed of the randomized z-buffer cannot drop below that of conventional z-buffer rendering. Experimental and analytical evidence is given that the image quality is comparable to that of common approaches like z-buffer rendering. The precomputed data structures employed by the randomized z-buffer allow for interactive dynamic updates of the scene. Their memory requirements grow only linearly with the number of triangles and allow for a scene graph based instantiation scheme to further reduce memory consumption.
- 1.Appel, A.: Some Techniques for Shading Mashine Renderings of Solids. In: Proceedings of the Spring Joint Computer Conference, 37-45, 1968.Google Scholar
- 2.Arvo, J., Kirk, D. A: Survey of Ray Tracing Acceleration Techniques.In: Glassner, A. (editor): An Introduction to Ray Tracing, Academic Press, 4 th printing, pp. 201-262, 1991. Google ScholarDigital Library
- 3.Bern, M., Eppstein, D., Gilbert, J.: Provably good mesh generation. In: Proc. 31 st Annu. IEEE Sympos. Found. Compt. Sci., 231-241, 1990.Google ScholarDigital Library
- 4.Blinn, J. F.: Light Reflection Functions for Simulation of Clouds and Dusty Surfaces. In: Computer Graphics (SIGGRAPH 82 Proceedings), 16 (3), 21-29, 1982. Google ScholarDigital Library
- 5.Chamberlain,xB., DeRose, T., Lischinski, D., Salesin, D., Snyder, J.: Fast Rendering of Complex Environments Using a Spatial Hierarchy. In: Proc. Graphics Interface '96, 132-141, 1996. Google ScholarDigital Library
- 6.Cook, R.L.: Stochastik Sampling and Distributed Ray Tracing. In: Glassner, A. (editor): An Introduction to Ray Tracing. Academic Press, 4 th printing, pp. 161-199, 1991. Google ScholarDigital Library
- 7.Csuri, C., Hackathorn, R., Parent, R., Carlson, W., Howard, M.: Towards an Interactive High Visual Complexity Animation System. In: Computer Graphics (SIGGRAPH 79 Proceedings), 13 (3), 289-299, 1979. Google ScholarDigital Library
- 8.de Berg, M., Halperin, D., Overmars, M., Snoeyink, J., van Kreveld, M.: Efficient Ray Shooting and Hidden Surface Removal. In: Algorithmica, 12, 30-53, 1994.Google Scholar
- 9.Feller, W: An Introduction to Probability Theory and Its Applications. Third Edition, revised printing, Wiley & Sons, 1970.Google Scholar
- 10.Garland, M.: Quadric-Based Polygonal Surface Simplification, Ph.D. thesis, Technical Report CMU-CS-99-105, Carnegie Mellon University, 1999 Google ScholarDigital Library
- 11.Glassner, A. S.: Principles of Digital Image Synthesis. Morgen Kaufmann Publishers, 1995. Google ScholarDigital Library
- 12.Gortler, S. J., Grzeszczuk, R., Szeliski, R., Cohen, M. F.: The Lumigraph. In: SIGGRAPH 96 Proceedings, Annual Conference Series, 43-54, 1996. Google ScholarDigital Library
- 13.Green, N., Kass, M., Miller, G.: Hierarchical Z-Buffer Visibility. In: SIGGRAPH 93 Proceedings, Annual Conference Series, 231-238, 1993. Google ScholarDigital Library
- 14.Grossman, J. P., Dally, W.: Point Sample Rendering. In Rendering Techniques'98, 181-192, Springer, 1998.Google Scholar
- 15.Levoy, M., Hanrahan, P.: Light Field Rendering. In: SIGGRAPH 96 Proceedings, Annual Conference Series, 31-42, 1996. Google ScholarDigital Library
- 16.Levoy, M., Whitted, T.: The Use of Points as a Display Primitive. Technical report, University of Norh Carolina at Chapel Hill, 1985.Google Scholar
- 17.Motwani, R., Raghavan, P.: Randomized Algorithms. Cambridge University Press, 1995. Google ScholarDigital Library
- 18.Pfister, H., Zwicker, M., van Baar, J., Gross, M.: Surfels: Surface Elements as Rendering Primitives. In: SIGGRAPH 2000 Proceedings, Annual Conference Series, 335-342, 2000. Google ScholarDigital Library
- 19.Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P.: Numerical Recipes in C, The Art of Scientific Computing, Second Edition, Cambridge University Press, 1992. Google ScholarDigital Library
- 20.Puppo, E., Scopigno, R.: Simplification, LOD and Multiresolution Principals and Applications. In: EUROGRAPHICS 97 Tutorial Notes, 1997.Google Scholar
- 21.Reeves, W. T.: Particle Systems - A Technique for Modeling a Class of Fuzzy Objects. In: Computer Graphics (SIGGRAPH 83 Proceedings), 17 (3), 359-376, 1983. Google ScholarDigital Library
- 22.Rusinkiewicz, S., Levoy, M.: Qsplat: A Multiresolution Point Rendering System for Large Meshes. In: SIGGRAPH 2000 Proceedings, Annual Conference Series, 343-352, 2000. Google ScholarDigital Library
- 23.Schaufler, G.: Per-Object Image Warping with Layered Impostors. In: Rendering Techniques '98, 145-156, Springer, 1998.Google Scholar
- 24.Shade, J., Gortler, S., He, L., Szeliski, R.: Layered Depth Images. In: SIGGRAPH 98 Proceedings, Annual Conference Series, 231-242, 1998. Google ScholarDigital Library
- 25.Shade, J., Lischinski, D., Salesin, D. H., DeRose, T., Snyder, J.: Hierarchical Image Caching for Accelerated Walkthroughs of Complex Environments. In: SIGGRAPH 96 Proceedings, Annual Conference Series, 75-82, 1996. Google ScholarDigital Library
- 26.Sudarsky, O., Gotsman, C.: Output-Sensitive Visibility Algorithms for Dynamic Scenes with Applications to Virtual Reality. In: Computer Graphics Forum (EUROGRAPHICS 96 Proceedings), 15 (3), 249-258, 1996.Google Scholar
- 27.Teller, S.J., Sequin, C.H.: Visibility Preprocessing For Interactive Walkthroughs. In: Computer Graphics (SIGGRAPH 91 Proceedings), 25 (4), 61-69, 1991. Google ScholarDigital Library
- 28.Wand, M., Fischer, M., Meyer auf der Heide, F.: Randomized Point Sampling for Output-Sensitive Rendering of Complex Dynamic Scenes. technical report WSI-2000-20, WSI/GRIS University of Tubingen, 2000. http://www.gris.uni-tuebingen.de/publics/paper/Wand-2000-Randomized.pdfGoogle Scholar
- 29.Wernecke, J.: The Inventor Mentor: Programming Object-Oriented 3d Graphics With Open Inventor, Release 2. Addison Wesley, 1994. Google ScholarDigital Library
- 30.Zhang, H., Manocha, D., Hudson, T., Hoff, K.: Visibility Culling using Hierarchical Occlusion Maps. In: SIGGRAPH 97 Proceedings, Annual Conference Series, 77-88, 1997. Google ScholarDigital Library
Index Terms
- The randomized z-buffer algorithm: interactive rendering of highly complex scenes
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