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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.
Taxonomy of Projection - viewing transformation There are different types of projections as per to the view that is essential. The subsequent figure 3 demonstrates taxonomy o
How many 128 x 8 RAM chips are needed to provide a memory capacity of 4096 16 bits?
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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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To prove: P (u = 0) = p0 Solution : = p 0 B n,0 (u) + p 1 B n, 1 (u) +...... + p n B n, n (u)...............(1) B n,i (u) = n c i u i (1 - u) n-i B n,0
An object has to be rotated about an axis passing through the points (1,0 ,1), (1,3,1) . What will be the resulting rotation matrix? Solution: The axis is parallel to y axis
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