What are the properties of applying linear functions on the Cartesian coordinates of a point? The resulting affine transformations can be conveniently expressed in matrix form and can be classified according to the type of transformation they produce.
Affine transformations are canonical in visual computing. Viewport mapping and orthogonal view transformations are needed in computer graphics and the reverse problem, finding the mapping given matched sets of points, is needed in computer vision and in computer animation. An important degenerate transformation that is used for generating fake shadows is discussed in Exercise 12.6, where it is cast as an instance of the more general set of projective transformations [13].
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© 2008 Springer-Verlag London Limited
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(2008). Affine Transformations. In: Introduction to Geometric Computing. Springer, London. https://doi.org/10.1007/978-1-84800-115-2_4
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DOI: https://doi.org/10.1007/978-1-84800-115-2_4
Publisher Name: Springer, London
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