3D Geometric Transformation in Computer Graphics.ppt.pptx

CG

1. 3D-Transformation

2. Transformation in 3D 2 .

3. 3D Translation 3

4. 3D Scaling 4

5. Relative Scaling 5

6. 3D Rotation 6

7. Order of Rotations 7

8. Coordinate-Axes Rotations 8

9. General 3D Rotations 9

10. General 3D Rotation( Rotation axis not parallel to coordinate Rotation about an axis that is parallel to one of the Coordinate Axes Translate the object so that the rotation axis passes through the coordinate origin Rotate the object so that axes of rotation coincides with one of the coordinate axes Perform the specified rotation about the coordinate axis Perform inverse rotations to bring the rotation axis back to its original orientation Translate the object so that the rotation axis is moved back too its original position. 10

11. General 3D Rotations 11

12. General 3D Rotations 12

13. General 3D Rotations 13

14. Arbitrary Axis Rotation 14

15. Arbitrary Axis Rotation 15

16. Arbitrary Axis Rotation 16

17. Other Transformations 17