Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:alsoKnownAs |
Homographies
Projectivities |
gptkbp:appliesTo |
Projective spaces
|
gptkbp:doesNotPreserve |
gptkb:Angles
Distances |
gptkbp:field |
gptkb:Projective_geometry
|
gptkbp:generalizes |
gptkb:Euclidean_transformations
Affine transformations |
https://www.w3.org/2000/01/rdf-schema#label |
Projective transformations
|
gptkbp:matrixRepresentation |
(n+1)x(n+1) invertible matrix
|
gptkbp:originatedIn |
19th century mathematics
|
gptkbp:preserves |
gptkb:Cross-ratio
Collinearity |
gptkbp:relatedGroup |
gptkb:group_of_people
|
gptkbp:relatedTo |
gptkb:Desargues'_theorem
gptkb:Pappus's_theorem |
gptkbp:represents |
Invertible linear transformation on homogeneous coordinates
|
gptkbp:usedIn |
gptkb:Algebraic_geometry
Computer vision Graphics |
gptkbp:bfsParent |
gptkb:Quadrics
|
gptkbp:bfsLayer |
8
|