Brain Dump

Bernstein Blending Function

Tags
computer-graphics

A [see page 11, function] used to blend between multiple points using a polynomial.

For a BBF defined with 4 polynomials (\(p_1,...,p_4\)) each parameterised by \(u\), the sum of the value of each polynomial at some value \(u\) will always be 1. This restriction makes BBFs useful in bezier curves where a point is guaranteed to not exceed the convex hull of the 4 points defined by a bezier curve.

See [see page 12, varitations] with different point counts and the matrix definition.

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