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3D Transformations

3D Transformations. Dr. Scott Schaefer. Review – Vector Operations. Dot Product. Review – Vector Operations. Dot Product. Review – Vector Operations. Dot Product. Review – Vector Operations. Cross Product. Review – Vector Operations. Cross Product. Review – Vector Operations.

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3D Transformations

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  1. 3D Transformations Dr. Scott Schaefer

  2. Review – Vector Operations • Dot Product

  3. Review – Vector Operations • Dot Product

  4. Review – Vector Operations • Dot Product

  5. Review – Vector Operations • Cross Product

  6. Review – Vector Operations • Cross Product

  7. Review – Vector Operations • Cross Product

  8. Review – Vector Operations • Cross Product

  9. Review – Vector Operations • Cross Product

  10. Review – Vector Operations • Cross Product

  11. Review – Vector Operations • Cross Product

  12. Review – Vector Operations • Cross Product

  13. Review – Vector Operations • Cross Product

  14. Transformations • Affine Transformations • Translation • Uniform Scaling • Non-uniform Scaling • Rotation • Mirror Image • Projections • Orthogonal • Perspective

  15. Translation

  16. Uniform Scaling

  17. Uniform Scaling

  18. Uniform Scaling

  19. Non-Uniform Scaling

  20. Non-Uniform Scaling

  21. Non-Uniform Scaling

  22. Non-Uniform Scaling

  23. Non-Uniform Scaling

  24. Non-Uniform Scaling

  25. Rotation

  26. Rotation

  27. Rotation

  28. Rotation

  29. Rotation

  30. Rotation

  31. Rotation

  32. Rotation

  33. Rotation

  34. Mirror Image

  35. Mirror Image

  36. Mirror Image

  37. Mirror Image

  38. Mirror Image

  39. Mirror Image Exactly the same as non-uniform scaling with !!!

  40. Orthogonal Projection

  41. Orthogonal Projection

  42. Orthogonal Projection

  43. Orthogonal Projection

  44. Orthogonal Projection

  45. Orthogonal Projection

  46. Perspective Projection

  47. Perspective Projection Plane:

  48. Perspective Projection Plane: Line:

  49. Perspective Projection Plane: Line:

  50. Perspective Projection Plane: Line:

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