Question
1.5. (a) A 2D transformation is given by (1) a translation of T(2, 3), a scaling of S(1, 2), and a rotation of R),
1.5. (a) A 2D transformation is given by (1) a translation of T(2, 3), a scaling of S(1, 2), and a rotation of R), find a combination of these three transformations in one homogeneous matrix. (b) A 2D transformation matrix is given below 1 3 2 3 1 2 0 0 1 (1) Find where the points pi = [], p2 = [1], and p3 = [3] are transform to by this matrix. (2) What are the parameters of the geometric transformation (i.e., the Xo, Yo of Translation, Sx, Sy of Scaling, and of Rotation) in this matrix. (Hint: using the general features about the homogeneous transformation matrix and the geometric relations from the positions of the original and the transformed points.)
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Applied Linear Algebra
Authors: Peter J. Olver, Cheri Shakiban
1st edition
131473824, 978-0131473829
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