General Affine Model

The general affine model has six independent parameters in two dimensions and 12 independent parameters in three dimensions. One of the geometric constraints of this model is that lines that are parallel before transformation remain parallel after transformation. Unlike all of the previous models, the general affine model does not require computation of sines and cosines to implement. Instead, the elements of the transformation matrix itself serve as the independent parameters. In two dimensions, this means that

Computation of eigenvectors of the transformation produces one real eigenvector corresponding to the point (11.8514, 3.0593). The fact that this point is an eigenvector is confirmed by the fact that

"11.8514"

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