Given four 3-dimensional points, the
SPH_4PNT procedure returns the center and radius necessary to define the unique sphere passing through those points.
This routine is written in the IDL language. Its source code can be found in the file
subdirectory of the IDL distribution.
X, Y, Z, Xc, Yc, Zc, R
X, Y, Z
4-element floating-point or double-precision vectors containing the X, Y, and Z coordinates of the points.
Xc, Yc, Zc
Named variables that will contain the sphere's center X, Y, and Z coordinates.
A named variable that will contain the sphere's radius.
Find the center and radius of the unique sphere passing through the points: (1, 1, 0), (2, 1, 2), (1, 0, 3), (1, 0, 1)
Define the floating-point vectors containing the x, y and z coordinates of the points.
X = [1, 2, 1, 1] + 0.0
Y = [1, 1, 0, 0] + 0.0
Z = [0, 2, 3, 1] + 0.0
SPH_4PNT, X, Y, Z, Xc, Yc, Zc, R
PRINT, Xc, Yc, Zc, R
-0.500000 2.00000 2.00000 2.69258