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Computer Graphics 3D Scaling

Computer Graphics 3D Scaling with Computer Graphics Tutorial, Line Generation Algorithm, 2D Transformation, 3D Computer Graphics, Types of Curves, Surfaces, Computer Animation, Animation Techniques, Keyframing, Fractals etc.

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Scaling is used to change the size of an object. The size can be increased or decreased. The scaling three factors are required Sx Sy and Sz.

Sx=Scaling factor in x- direction
Sy=Scaling factor in y-direction
Sz=Scaling factor in z-direction


Matrix for Scaling


Scaling of the object relative to a fixed point

Following are steps performed when scaling of objects with fixed point (a, b, c). It can be represented as below:

  1. Translate fixed point to the origin
  2. Scale the object relative to the origin
  3. Translate object back to its original position.

Note: If all scaling factors Sx=Sy=Sz.Then scaling is called as uniform. If scaling is done with different scaling vectors, it is called a differential scaling.

In figure (a) point (a, b, c) is shown, and object whose scaling is to done also shown in steps in fig (b), fig (c) and fig (d).

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