Linked from

The 37 pages that link to Affine transformation, each with the reason it gives.

• Rotation matrixCompared with: Unlike general affine transformations, rotation matrices preserve Euclidean distances and angles.

• Congruence (geometry)Compared with: Affine maps can stretch a figure, so they do not generally preserve congruence.

• Point groupCompared with: General affine transformations need not preserve the metric structure of point-group symmetries.

• Linear mapCompared with: A nonzero translation breaks preservation of vector addition, unlike a linear map.

• Linear operatorCompared with: Translations generally break linearity by moving the zero vector.

• Projective transformationCompared with: It is a more restrictive map: projective transformations need not preserve parallelism.

• Cross-ratioCompared with: Affine maps preserve more structure than projective maps, but the cross-ratio remains invariant under both.

• Similarity (geometry)Compared with: Unlike similarity transformations, general affine transformations need not preserve shape.

• Change of variablesCompared with: Affine substitutions shift or rescale coordinates without the curvature of nonlinear maps.

• Rigid motionCompared with: It preserves less geometric structure than a rigid motion.

• Inversive geometryCompared with: Affine maps preserve lines and parallelism; inversion generally bends lines into circles.