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Interactive Sampling and Rendering for Complex and Procedural Geometry

Learn about interactive sampling and rendering methods using points for procedural and complex geometry. Explore efficient point generation and rendering pipelines, achieving high frame rates while maintaining quality. Discover the power of point rendering for terrains, procedural objects, and complex dynamic scenarios.

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Interactive Sampling and Rendering for Complex and Procedural Geometry

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  1. Interactive Sampling and Rendering for Complex and Procedural Geometry Marc Stamminger, George Drettakis REVES/iMAGIS Sophia-Antipolis

  2. motivation • tree created by AMAP • 150,000 triangles • 8 fps(Linux PC with GeForce Quadro)

  3. motivation • rendered withpoints at 60 fps • reduced quality • 7 times faster

  4. motivation • level of detail • 100 trees • 270,000 points • 20 fps

  5. previous work • 1985 Levoy/Whitted "The Use of Points as a Display Primitive" • 1998 Grossman/Dally "Point Sample Rendering" • 2000 Rusinkiewicz/Levoy "The Q-Splat" • 2000 Pfister/Zwicker/van Baar/Gross "Surfels"

  6. very recent work • Wand/Fischer/Peter/Meyer/auf der Heide/Strasser • "The Randomized z-Buffer Algorithm"

  7. point rendering pipeline • scene description • vrml file • mgf file • … • procedural model point set (3D-coordinates, normal, material) screen point rendering point generation

  8. point generation • (orthographic) views • filtered triangle mesh hierarchy • random points

  9. point rendering • in software • filtering • texturing • hole filling • in hardware • as points • as polygonal disks

  10. our approach • fast / on the fly point generation for • procedural objects • terrains • complex dynamic objects • point rendering with OpenGL’s GL_POINT • very fast (up to 10 million points per second) • OpenGL does lighting

  11. results • points are well suited for • proceduralgeometry

  12. results • points are well suited for • proceduralgeometry • terrains

  13. results • points are well suited for • proceduralgeometry • terrains • complexgeometry

  14. results • points are well suited for • proceduralgeometry • terrains • complexgeometry • combinations

  15. complex polygonal geometry • generate list of randomly distributed samples • for every frame: compute n, render the first n 100,000 10,000 1,000

  16. complex polygonal geometry • easy speed / quality trade off • frame rate control 100,000 10,000 1,000

  17. modified complex geometry • simple modifications on the fly 30 fps

  18. displaced geometry 25,000 points 25,000 points

  19. displaced geometry 25,000 points 100,000 points

  20. adaptive sampling

  21. undersampling factor < 1 > 1

  22. undersampling factor

  23. video sqrt(5) sampling

  24. adaptive point generation

  25. sqrt(5) sampling (2/5,1/5)

  26. sqrt(5) sampling

  27. sqrt(5) sampling

  28. sqrt(5) sampling

  29. sqrt(5) sampling

  30. sqrt(5) sampling

  31. sqrt(5) sampling • rotated, nested grids • grid distance decreases by 1/sqrt(5) • rotation angle  27o • special attention to boundaries

  32. procedural modifiers

  33. terrains

  34. terrains

  35. u d terrain parameterization • parameterize by (d,u) terrain d u screen

  36. terrain parameterization looking straight ahead looking up looking down

  37. terrain algorithm • sqrt(5) sampling scheme • undersampling factor • parameterizationdistortions • perspectivedistortions • displacement

  38. terrain occlusion culling occlusion culling, regular sampling occlusion culling, with adaptive sampling

  39. video results

  40. conclusion • points are very powerful, when details becomesmaller than a pixel • simple and efficient level of detail • simple manipulation • easily parallelizable • big potential for further improvements

  41. link • more at: • http://www-sop.inria.fr/reves

  42. acknowledgements • thanks to the European Union for funding me • with a Marie-Curie fellowship

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