Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Bézier_curve |
| gptkbp:application |
animation
curve fitting motion planning |
| gptkbp:basisFor |
gptkb:Bernstein_polynomials
|
| gptkbp:category |
parametric curve
|
| gptkbp:continuity |
yes
|
| gptkbp:controls |
P1
P2 P0 |
| gptkbp:definedIn |
three control points
|
| gptkbp:degree |
2
|
| gptkbp:differentiable |
yes
|
| gptkbp:generalizes |
gptkb:linear_Bézier_curve
|
| gptkbp:hasSpecialCase |
gptkb:cubic_Bézier_curve
|
| https://www.w3.org/2000/01/rdf-schema#label |
quadratic Bézier curve
|
| gptkbp:introducedIn |
automotive design
|
| gptkbp:inventedBy |
gptkb:Pierre_Bézier
|
| gptkbp:parametricEquation |
B(t) = (1-t)^2*P0 + 2(1-t)t*P1 + t^2*P2, t in [0,1]
|
| gptkbp:relatedTo |
gptkb:B-spline
gptkb:NURBS |
| gptkbp:shapeControlledBy |
control points
|
| gptkbp:usedIn |
computer graphics
vector graphics font design |
| gptkbp:bfsParent |
gptkb:Bézier_curve
gptkb:Bézier_curves |
| gptkbp:bfsLayer |
8
|