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. | |||||