affine transformation
List of: Glossary Items
Subjects: Mathematics
Contents: Glossary

An affine transformation is any transformation that can be defined by a linear transformation plus translation. Affine transformations preserve collinearity and ratios; e.g., the midpoint of a line segment remains the midpoint. (Compare to a perspective transformation, which preserves collinearity but not ratios.) Affine transformations include translation, rotation, scaling, shear, and reflection. A bending transformation, however, is not affine.
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