What are the advantage of a homogeneous coordinate system? Explain and derive 2D shear about a base line y=yref

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The advantage of homogeneous coordinate system are

  1. It providesĀ  uniform frame-work for handling different geometric transformations, simply as multiplication of matrices.
  2. To express any two dimensional transformation as matrix multiplication.
  3. To represent all the transformation equations as matrix multiplications
  4. To perform more than one transformation at a time
  5. To reduce unwanted calculations of intermediate steps, to save time and memory and produce a sequence of transformations.
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