Bernstein Polynomials

Bernstein polynomials are mathematical tools used to approximate complex functions smoothly and accurately. They are built from basic polynomial components called Bernstein basis functions. By taking a weighted sum of these basis functions, Bernstein polynomials can closely mimic a target function over a specific interval. They are especially valuable in computer graphics and approximation theory because of their stability and geometric interpretability. Essentially, they provide a systematic way to represent and approximate shapes and curves with a combination of simple, well-understood elements.