Posted by Subhotosh Khan on November 13, 2002 at 09:01:23:
In Reply to: Least square adjustment posted by Juvenas on November 13, 2002 at 00:12:49:
: Well I would first like to say that I am a second year engineering student, and to thank anyone in advance with any help that I may receive.
: Q I am having a little problem understanding a question I am presently working on. I am given three coordiantes, north,east, and depth of five points and I have to find the position of an unknown point, I know that I have to work in 3-D, the problem is what do i do with the depth values to make then work in the formula given for calculating a point in 3-D space. The depth values are given for the position of some transformer underneath the sea. if any one can relate to this problem they can respone to this Question
: Thx
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I assume you need to position of the unknown point by least-square-straight-line assumption. The co-ordinates (east, north & depth) are the x,y,&z of points in 3-D system.
1) equation of a line in 3-D, through a point (x1,y1,z1) is:
(x-x1)/l = (y-y1)/m = (z-z1)/n
2)x1, y1 & z1 are the averages of the points given.
3) follow the method of "least-squares" to find the optimized values of l, m & n (similar to method used in 2-D system). Put these values in the equation (1) and solve for your unknown.