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Bezier Blending Functions
The reasonable justification for Bezier spline basis can only be approached by considering its blending functions:
This family of polynomials (called order-3 Bernstein polynomials) have the following unique properties:
They are all positive in the interval [0, 1]
Their sum is equal to 1
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VRarchitect
<
ANU lectures
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Computer Graphics
:
Spline
>
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Prev. : 25 / 42 : Basis and Geometry Matrices for Bezier Splines
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Next : 27 / 42 : Plots of Bezier Blending Functions
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