An Algorithm for Computing the Shortest Distance between a Point and Quadratic Bezier Curve

The problem of data fitting using Bezier curve is one of the most important problems in the modern science, during this process, the problem of determining the shortest distance between a point and Bezier curve arises, so when we use a second degree Bezier curve for fitting data points, the problem will be changed into solving third degree polynomial, but when we use third degree Bezier curve, the problem is changed into finding roots of polynomial too, but in this case the polynomial is fifth degree, in this paper we will discuss the minimum distance between a point and a Bezier curve with three control points, i.e. quadratic Bezier curve