How to find co-ordinates of a point in 3D using Matlab functions?

Question

Abhinav 2014-10-22

1
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/159670-how-to-find-co-ordinates-of-a-point-in-3d-using-matlab-functions

回答： Roger Stafford 2014-10-22

I am trying to determine the (x,y,z) coordinates of a point p. What I have are the Euclidean distances to 3 different points m1, m2, m3 with known coordinates.

I am looking for Matlab functions that will help me solve this problem. My math is not so strong. Any help will be appreciated. Thank you

0 个评论
显示 -2更早的评论隐藏 -2更早的评论

请先登录，再进行评论。

请先登录，再回答此问题。

Answer 1

Roger Stafford 2014-10-22

2
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/159670-how-to-find-co-ordinates-of-a-point-in-3d-using-matlab-functions#answer_156223

在 MATLAB Online 中打开

This problem is equivalent to finding the common points of intersection of three spheres. You should realize that if there are any solutions at all, there are almost always two of them. At the following Answers thread:

http://www.mathworks.com/matlabcentral/answers/116045

you will find a method of solution for this problem which I gave back in February of this year.

0 个评论
显示 -2更早的评论隐藏 -2更早的评论

请先登录，再进行评论。

Answer 2

Zoltán Csáti 2014-10-22

1
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/159670-how-to-find-co-ordinates-of-a-point-in-3d-using-matlab-functions#answer_156192

Let the coordinates of the unknown point be x,y,z and m1(x1,y1,z1), m2(x2,y2,z2), m3(x3,y3,z3), moreover the known Euclidean distances d1, d2, d3 respectively. You can write 3 equations for the 3 unknowns: (x-x1)^2 + (y-y1)^2 + (z-z1)^2 = d1^2, ... Now, solve them for x, y and z.