cubic Bézier curve

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:CAD
animation
SVG paths
motion design
gptkbp:basisFor gptkb:Bernstein_polynomials
gptkbp:controls P0, P1, P2, P3
gptkbp:definedIn four control points
gptkbp:degree 3
gptkbp:hasEquation B(t) = (1-t)^3 P0 + 3(1-t)^2 t P1 + 3(1-t) t^2 P2 + t^3 P3
gptkbp:hasSpecialCase gptkb:Bézier_curve
https://www.w3.org/2000/01/rdf-schema#label cubic Bézier curve
gptkbp:introducedIn 1960s
gptkbp:namedAfter gptkb:Pierre_Bézier
gptkbp:parameter t (0 ≤ t ≤ 1)
gptkbp:property affine invariance
variation diminishing property
convex hull property
gptkbp:usedIn computer graphics
vector graphics
font design
gptkbp:bfsParent gptkb:Bézier_curve
gptkb:Bézier_curves
gptkbp:bfsLayer 8