Statements (63)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
computer vision
graphics photogrammetry perspective drawing |
| gptkbp:developedBy |
gptkb:Blaise_Pascal
gptkb:Julius_Plücker gptkb:Jean-Victor_Poncelet gptkb:August_Ferdinand_Möbius gptkb:Girard_Desargues |
| gptkbp:doesNotConsider |
metric concepts like distance and angle
|
| gptkbp:focusesOn |
properties invariant under projective transformations
|
| gptkbp:hasApplication |
gptkb:architecture
gptkb:artificial_intelligence gptkb:optics cartography computer graphics robotics 3D reconstruction camera calibration |
| gptkbp:hasAxiom |
gptkb:Desargues'_theorem
gptkb:Pappus's_theorem gptkb:Pascal's_theorem gptkb:Veblen–Young_axiom |
| gptkbp:hasSubfield |
complex projective geometry
algebraic projective geometry analytic projective geometry combinatorial projective geometry finite projective geometry real projective geometry synthetic projective geometry topological projective geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Projective geometry
|
| gptkbp:includes |
gptkb:geometry
gptkb:Desargues'_theorem gptkb:Pascal's_theorem projective plane homogeneous coordinates cross-ratio duality principle |
| gptkbp:originatedIn |
perspective in art
|
| gptkbp:relatedTo |
gptkb:algebraic_geometry
differential geometry affine geometry |
| gptkbp:studies |
gptkb:fundamental_theorem_of_projective_geometry
lines points planes projective group conic sections harmonic division invariants incidence relations perspectivity polarity projectivity quadrics |
| gptkbp:uses |
incidence structure
collineations projective coordinates projective transformations |
| gptkbp:bfsParent |
gptkb:geometry
|
| gptkbp:bfsLayer |
4
|