What Is Bézier Curve

Q

What Is Bézier Curve?

✍: FYIcenter.com

A

Bézier Curve, named after Pierre Bézier, is related to Bernstein polynomial and widely used in computer graphics.

The Bézier Curve B_{p₀p₁...p_n}(t) for a given set of n+1 points p₀, p₁, ..., p_n with t=(0,1) can be defined in the following recursive form:

B_p₀(t) = p₀, t=(0, 1)
B_{p₀p₁...p_n}(t) = (1-t)B_{p₀...p_n-1} + tB_{p₁...p_n}, t=(0, 1)

Graphically, a 2-point Bézier Curve B_p₀p₁(t) can be presented as:

Graphically, a 3-point Bézier Curve B_p₀p₁p₂(t) can be presented as:

Graphically, a 4-point Bézier Curve B_{p₀p₁p₂p₃}(t) can be presented as:

⇒ Draw 3-Point Bézier Curve in OpenOffice

⇐ Define Custom Color in OpenOffice Draw

⇑ Using OpenOffice Draw

⇑⇑ OpenOffice Tutorials

2021-10-10, 1039🔥, 0💬

What Is Bézier Curve
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Draw 4-Point Bézier Curve in OpenOffice
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Modify Middle Slopes of Bézier Curve
How to modify Modify Middle Slopes of a Bézier curve in OpenOffice? A higher order Bézier curve one or more middle slopes which defines how the curve passes through anchor points. Note that anchor points together with starting and ending points are all called "end points" in OpenOffice. Here is how ... 2022-04-21, 860🔥, 0💬

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Draw 5-Point Bézier Curve in OpenOffice
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