It transform a n-dimensional source vector to a m-dimensional target vector, and can be represented as a m+1 × n+1 homogeneous matrix. The mixed transform can be decomposed as follows:
The project down and component permutation steps are implemented by the {@link #setComponentMapping(int[]) component mapping}. This is a lookup array that specifies for each target dimension from which source dimension it is taken. Note, that it is not allowed to set this array such that a source component is mapped to several target components!
@author Tobias Pietzsch
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