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Hw1 - The product of two rotation matrices is also a...

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CAP5415 Computer Vision Assignment # 1 1. Compare the 2-D rigid, affine and projective transformations (as discussed in class) in terms of degrees of freedom, invariants and modeling of physical phenomena such as rotation, shear, yaw, pitch etc. Also study the effect of individual parameters in affine and projective transformations. 2. Show the following for 3-D Euclidean spaces a.
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Unformatted text preview: The product of two rotation matrices is also a rotation matrix. b. Rotation matrices have rank 3. c. Inverse of a rotation matrix is its transpose. d. Product of two matrices associated with rigid transformations is a matrix associated with some rigid transformation. e. The change of coordinates associated with a rigid transformation preserves distances and angles....
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