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CSC418 Computer Graphics

CSC418 Computer Graphics. Cameras and Projections Follow lecture notes on 3D Projection and Clipping : www.dgp.toronto.edu/~karan/courses/csc418/fall_2002/notes/lectures.html. Camera model. Viewing Transform. V up. P eye. P ref. Viewing Transform. V up.

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CSC418 Computer Graphics

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  1. CSC418 Computer Graphics • Cameras and Projections Follow lecture notes on 3D Projection and Clipping : www.dgp.toronto.edu/~karan/courses/csc418/fall_2002/notes/lectures.html

  2. Camera model

  3. Viewing Transform Vup Peye Pref

  4. Viewing Transform Vup k=(Peye-Pref)/||Peye-Pref|| Peye Pref

  5. Viewing Transform Vup k Peye i=(Vupxk)/|| Vupxk|| Pref

  6. Viewing Transform Vup k j=kxi Peye i Pref

  7. Vup k j=kxi Peye i Pref Change-of-basis Matrix ix jx kx Peyex iy jy ky Peyey iz jz kz Peyez 000 1

  8. Camera model

  9. Camera model What is the difference between these images? Perspective Orthographic

  10. Perspective projection k j i

  11. Perspective projection k j P’ P d i

  12. Simple Perspective k j P’ P d i

  13. Simple Perspective • y’= yd/z • x’= xd/z • z’=d

  14. Simple Perspective x’ 1 0 0 0 x y’ = 0 1 0 0 y z’ 0 0 1 0 z w’ 0 0 1/d 0 1 w’= z/d

  15. Viewing volumes Projected image

  16. Viewing volumes Projected image

  17. Viewing Pipeline

  18. CSC418 Computer Graphics Next Lecture • Cannonical space • 3D Clipping • Visibility culling

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