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3D Primitive and Composite Transformations
Previously you have studied and implemented 2D geometric transformations for object definitions in two dimensions. These transformations can be extended to 3D objects by including considerations for the z coordinate. In this unit, you will study certain methods to implement such transformations.
You must have noticed here that the translation is as simple as in 2D. Rotation however requires a little more effort in 3D. Standard rotations about three coordinate axes are simpler to perform. In order to apply rotation about an arbitrary axis, you need to have a composite transformation while scaling, shear and reflections are generalized to 3D in a natural way.
Exceptional cases - Orthographic Projection 1) We have an Orthographic projection, if f=0, then cot (β) =0 that is β=90 0 . 2) β =cot-1 (1)=450 and this Oblique projec
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Determine the transformation matrix for the reflection about the line y = x. Solution: The transformation for mirror reflection regarding to the line y = x, comprises the subs
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What do you mean by parabolic splines? For parabolic splines a parabola is fitted by the first three points p1, p2,p3 of the data array of kot points. Then a second parabolic
For good understanding of the application of the rules specified above see the following figure, where the shaded region demonstrates the clipped polygon. Fi
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