
Distance from points to a parabola 1.0 File ID: 80790 


 Distance from points to a parabola 1.0 License: Shareware File Size: 10.0 KB Downloads: 1
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Distance from points to a parabola 1.0 Description 

Description: 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.com Book 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 projections
The algorithm is proven to converge and reaches an accuracy of 89 significant digits. It takes 56 iterations per point, on average.
License: Shareware Related: focus, Distance, directrix, angle, parabola, vertex, Vector, dxyi O/S:BSD, Linux, Solaris, Mac OS X File Size: 10.0 KB Downloads: 1


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