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affine transformation::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Type of | transformation |
Examples of affine transformation
affine transformation
An example of an affine transformation which is not a Euclidean motion is given by scaling.
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A scaling in the most general sense is any affine transformation with a diagonalizable matrix.
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A deformation is called an affine deformation if it can be described by an affine transformation.
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While an affine transformation preserves proportions on lines, it does not necessarily preserve angles or lengths.
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Utility could be weakly quantified such that a quantification could be fit, but any affine transformation would fit just as well.
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If there is a fixed point, we can take that as the origin, and the affine transformation reduces to a linear transformation.
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Some plants, like Ferns, even generate a pattern using an affine transformation which combines translation, scaling, rotation and reflection.
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If these conditions do not hold, the formula describes a more general affine transformation of the plane provided that the determinant of A is not zero.
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A translation, or translation operator, is an affine transformation of Euclidean space which moves every point by a fixed distance in the same direction.
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