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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 w=(Peye-Pref)/||Peye-Pref|| Peye Pref

  5. Viewing Transform Vup w Peye u=(Vupxw)/|| Vupxw|| Pref

  6. Viewing Transform Vup w v=wxu Peye u Pref

  7. Vup w v=wxu Peye u Pref Change-of-basis Matrix ux vx wx Peyex uy vy wy Peyey uz vz wz Peyez 000 1

  8. Camera model

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

  10. Perspective projection w v u

  11. Perspective projection w v P’ P d u

  12. Simple Perspective w v P’ P d u

  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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