Question: Derive the matrix that represents scaling of an object with respect to any fixed point? Use that matrix to find P-1 for the given point P(6,8) , Sx = 2 , Sy = 3 and fixed point (2,2).
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Subject: Computer Graphics

Topic: Two Dimensional Geometric Transformations

Difficulty: High

cg(14) • 1.3k views
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modified 13 months ago  • written 15 months ago by gravatar for vbadbe vbadbe70
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Scaling about a Reference Point:-

If the center of the object is not at the origin, in this case we should consider a scaling as a composite transformation which involves the following steps.

  1. Translation of the reference (xc,yc) to the origin
  2. Scale the object by scale factor by (Sx,Sy)
  3. Translation of the reference point back to its original position

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written 13 months ago by gravatar for vbadbe vbadbe70
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