Distance from points to a parabola 1.0

This is an adaptation of the projecting method for ellipse introduced by D. Eberly.Internet publication: "Distance from a point to an ellipse in 2D" (2004) Geometric Tools, LLC, www.geometrictools.comBook publication: "3D Game Engine Design", 2nd edition.Morgan Kaufmann Publishers, San Francisco, CA, 2007. (see Section 14.13.1)Usage: [RSS, XYproj] = Residuals_parabola(XY,ParG)Input: XY(n,2) is the array of coordinates of n points x(i)=XY(i,1), y(i)=XY(i,2) ParG is a vector 4x1 of the ellipse parameters ParG = [Vertex(1:2), p, Angle]' Vertex - the coordinates of the parabola's vertex p - distance from the focus to the directrix Angle - the angle of tilt of the parabola Output: RSS is the Residual Sum of Squares (the sum of squares of the distances) XYproj is the array of coordinates of projectionsThe algorithm is proven to converge and reaches an accuracy of 8-9 significant digits. It takes 5-6 iterations per point, on average.

Requirements:	No special requirements
Platforms:	Matlab
Keyword:	Angle,  Directrix,  Distance,  Dxyi,  Focus,  Parabola,  Vector,  Vertex
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