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Consider the following statements regarding homogenous coordinate transformation matrix: 1. A homogenous transformation matrix can be considered to consist of four sub-matrices. 2. The upper left 3 × 3 sub-matrix represents the position vector. 3. The upper right 3 × 1 sub-matrix represents the rotation matrix. 4. The lower left 1 × 3 sub-matrix represents perspective transformation. Which of the above statements are correct? 

Consider the following statements regarding homogenous coordinate transformation matrix: 1. A homogenous transformation matrix can be considered to consist of four sub-matrices. 2. The upper left 3 × 3 sub-matrix represents the position vector. 3. The upper right 3 × 1 sub-matrix represents the rotation matrix. 4. The lower left 1 × 3 sub-matrix represents perspective transformation. Which of the above statements are correct?  Correct Answer 1 and 4

Concept:

  • A homogenous transformation matrix can be considered to consist of four sub-matrices.
  • The lower left 1 × 3 sub-matrix represents perspective transformation.

The homogeneous transform matrix or Homogeneous Transform (HTM)

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  • This is generalized homogeneous transform matrix has about 4 sub-matrices.
  • Perspective transformation matrix is useful in the vision system and is set to zero vector wherever no perspective view is involved.

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