Linked from

The 18 pages that link to Projective transformation, each with the reason it gives.

• Projective geometryBroader topic: These are the maps whose invariant properties define the subject.

• Affine transformationCompared with: Projective maps can send parallel lines to intersecting lines, unlike affine maps.

• Homogeneous coordinatesRelated: Matrices act directly on homogeneous tuples, with scalar multiples representing the same transformed point.

• Projective planeRelated: It preserves incidence while moving points and lines across the plane.

• Affine geometryCompared with: General projective maps can send parallel lines to intersecting lines at infinity.

• Conformal mapCompared with: Some projective transformations preserve angles only in special geometric settings, unlike general conformal maps.

• Projective spaceRelated: Such maps preserve the incidence structure of projective space.

• Möbius transformationNarrower topic: Möbius transformations are the projective transformations of the complex projective line.

• Cross-ratioNarrower topic: Invariance under these maps is the defining property of the cross-ratio.

• Similarity transformationCompared with: Projective maps preserve a different structure and need not preserve shape.

• Projective dualityCompared with: Transformations move points within one projective space; duality exchanges points with hyperplanes.

• Jean-Victor PonceletRelated: These mappings express the transformations underlying his geometry.

• Rigid motionCompared with: Projective transformations retain alignment while allowing distances to change.

• Butterfly theoremRelated: Projective reformulations may reveal invariant structure beyond the Euclidean midpoint statement.

• Dieudonné's theoremRelated: The theorem gives an algebraic description of the collineations in this transformation group.

• Poncelet's closure theoremRelated: It can normalize conic pairs without changing whether the required polygons close.

• Steiner conicRelated: Projective transformations carry a Steiner conic and its generating pencil correspondence to equivalent configurations.

• Thomsen's theoremNarrower topic: Each perspectivity in the six-step construction induces a projectivity between lines.