The Distance from a Point to a Parabola in 2D

This paper discusses the difficulty of the studied problem. By conducting seversal fundamental transformation, the degree of the studied equation reduces such that finally a general closed-form solution can be obtained. Since the studied problem is quite fundamental, the applications are versatile and broden. The result of this paper can be conducted in a variety of applications: in the fields of Computer-Aided Design and Manufacturing, Computer Graphics, Layered Manufacturing, 3D Printing, Prototyping, Robot Motion (Path) Planning, Wireless Sensor Networking, Multimedia Animation, Geodesy, Astronomy, Physics, Electromagnetics, and Fluid mechanics. Keywords - Shortest Distance, Distance From a Point to a Parabola, Computational Geometry.