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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:application
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gptkb:software
gptkb:SVG
gptkb:PostScript
gptkb:Adobe_Illustrator
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gptkbp:definedIn
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control points
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gptkbp:degree
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n (where n is the number of control points minus one)
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gptkbp:field
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gptkb:mathematics
computer graphics
computer-aided design
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gptkbp:form
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B(t) = Σ (n choose i) (1-t)^{n-i} t^i P_i, for t in [0,1]
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gptkbp:generalizes
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gptkb:Bézier_surface
gptkb:rational_Bézier_curve
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gptkbp:hasSpecialCase
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gptkb:cubic_Bézier_curve
gptkb:linear_Bézier_curve
gptkb:quadratic_Bézier_curve
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|
https://www.w3.org/2000/01/rdf-schema#label
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Bézier curve
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gptkbp:introducedIn
|
1960s
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gptkbp:namedAfter
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gptkb:Pierre_Bézier
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gptkbp:property
|
affine invariance
lies within convex hull of control points
variation diminishing property
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|
gptkbp:relatedTo
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gptkb:B-spline
gptkb:NURBS
|
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gptkbp:supportsAlgorithm
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gptkb:De_Casteljau's_algorithm
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gptkbp:type
|
parametric curve
|
|
gptkbp:usedIn
|
animation
path planning
vector graphics
font design
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gptkbp:bfsParent
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gptkb:Bernstein_polynomial
gptkb:NURBS
gptkb:Pierre_Bézier
gptkb:Jean-Philippe_Bésiers
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gptkbp:bfsLayer
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7
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