Question

What is a polynomial curve?

Answer 1

A curve obtained by fitting polynomials to each ordinate of an ordered sequence of points. The above plots show polynomial curves where the order of the fitting polynomial varies from p-3 to p-1, where p is the number of points.

Polynomial curves have several undesirable features, including a nonintuitive variation of fitting curve with varying coefficients, and numerical instability for high orders. Splines such as the Bézier curve are therefore used more commonly.

Explanation:

Answer 2

A polynomial curve is a curve that can be parametrized by polynomial functions of R[x], so it is a special case of rational curve. Therefore, any polynomial curve is an algebraic curve of degree equal to the higher degree of the above polynomials P and Q of a proper representation. ... - a Lissajous polynomial quartic