shortest_distance( X, axis )

The shortest distance(orthogonal distance) from a point to Ellipsoid or Hyperboloid

Compute The shortest distance(orthogonal distance) from a point to Ellipsoid or Hyperboloid
(x/a)^2+(y/b)^2+(z/c)^2=1 standart Ellipsoid equation centered at the origin
(x/a)^2+(y/b)^2-(z/c)^2=1 Standart Hyperboloid equation centered at the origin

Parameters:
* X, [x y z] - A point Cartesian coordinates data, n x 3 matrix or three n x 1 vectors
* axis,[a; b; c] - ellipsoid radii [a; b; c],its axes % along [x y z] axes

Output:
* Xo,[xo yo zo] - Cartesian coordinates of Point onto ellipsoid

* dis : shortest distance
negatif distance indicates that point PG remains in the ellipsoid
Author:
Sebahattin Bektas, 19 Mayis University, Samsun
[e-mail]
How to cite this code:
BEKTAS, Sebahattin. Orthogonal distance from an ellipsoid. Bol. Ciênc. Geod. [online]. 2014, vol.20, n.4, pp. 970-983. ISSN 1982-2170.
BEKTAS, Sebahattin. Orthogonal (Shortest) Distance To the Hyperboloid,
International Journal of Research in Engineering and Applied Sciences(IJREAS)
Available online at http://euroasiapub.org/journals.php
Vol. 7 Issue 5, May-2017, pp. 37~45
ISSN (O): 2249-3905, ISSN(P): 2349-6525 |