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3D Graphics A Lecture  By Abdul Ghaffar
Contents ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
2D Affine Transformation 5.2 ,[object Object],[object Object]
2D Affine Transformation 5.2 ,[object Object],[object Object]
2D Affine Transformation 5.2 ,[object Object],[object Object]
2D Affine Transformation 5.2 ,[object Object],[object Object]
2D Affine Transformation 5.2 ,[object Object],[object Object]
2D Affine Transformation 5.2 ,[object Object],[object Object],[object Object]
2D Affine Transformation 5.2 ,[object Object],[object Object],[object Object],[object Object]
2D Affine Transformation 5.2 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The   Affine transformations  5.2.1 ,[object Object],[object Object],[object Object],[object Object]
Geometric Effects  of Elementary 2D Affine transformations  5.2.3 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Geometric Effects  of Elementary 2D Affine transformations  5.2.3 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Inverse of an Affine Transformation 5.2.4 ,[object Object],[object Object],[object Object],[object Object]
The Inverse of an Affine Transformation 5.2.4 ,[object Object]
Composing Affine Transformations  5.2.5 ,[object Object],[object Object],[object Object],[object Object],[object Object]
Examples  of Composing 2D Transformations  5.2.6   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Examples  of Composing 2D Transformations  5.2.6   ,[object Object],[object Object],[object Object],[object Object],[object Object]
5.2.7  Some Useful Properties of Affine Transformations ,[object Object],[object Object],[object Object],[object Object],[object Object]
5.2.7 Some Useful Properties of  Affine Transformations (2) ,[object Object],[object Object],[object Object],[object Object],[object Object]
Some Useful Properties of Affine  Transformations ) 5.2.7
5.2.7 Some Useful Properties of Affine Transformations (4) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
5.2.7 Some Useful Properties of Affine Transformations (5) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
3D wire frame model ,[object Object],[object Object]
3D wire frame model
3D wire frame model
3D wire frame model
Drawing  wire frame model ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Orthographic Projection ,[object Object]
Orthographic Projection
Perspective Projection   7.4.1 ,[object Object],[object Object],[object Object]
Perspective Projection   7.4.1 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Perspective Projection   7.4.1 ,[object Object],Eye(0,0,2) Eye(0.5,0,2) Eye(2,5,2)
5.3 3D Affine Transformations ,[object Object],[object Object],[object Object]
5.3.1 The Elementary 3D Transformations ,[object Object],[object Object],=> shift vector: m =(m 14 , m 24 ,   m 34 ).
5.3.1 The Elementary 3D Transformations ,[object Object],[object Object],=> Q=(P x , fP x +P y  ,   P z ).
5.3.1 The Elementary 3D Transformations ,[object Object],[object Object],[object Object]
5.3.1 The Elementary 3D Transformations
5.3.2 Composing 3D Affine  Transformations ,[object Object],[object Object]
5.3.3 Combining Rotations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
5.3.3 Combining Rotations (2) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
5.3.4  Properties of 3D Affine Transformations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Non affine transformation    (Fish eye)
Non affine transformation    (Fish eye)
Non affine transformation    (Fish eye)
Non affine transformation    (Fish eye)
Non affine transformation    (Fish eye)
Non affine transformation  ( False perspective)
Non affine transformation  ( False perspective)

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