|
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:computer_graphics
gptkb:architecture
gptkb:artificial_intelligence
gptkb:optics
cartography
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
|
|
gptkbp:includes
|
gptkb:geometry
gptkb:Desargues'_theorem
gptkb:projective_plane
gptkb:Pascal's_theorem
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:Projective_plane
gptkb:Quadrics
gptkb:Linear_Fractional_Transformation
gptkb:Möbius_Transformation
gptkb:Smooth_quadric_hypersurface
gptkb:Smooth_quadric_hypersurfaces
gptkb:Elliptic_geometry
|
|
gptkbp:bfsLayer
|
8
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Projective geometry
|