Calculate Dip, Strike, and Azimuth from the equation of a plane (Matlab)

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Iranga 2014-3-19

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https://ww2.mathworks.cn/matlabcentral/answers/122255-calculate-dip-strike-and-azimuth-from-the-equation-of-a-plane-matlab

Hello Experts,

I have a matlab code which computes a first order polynomial fit for a 3D data set (i,j,k) which represents a plane (surface).

I'm using fit function in Matlab with 'poly11' fittype.

Code: *fitPlane = fit([i, j], k, 'poly11');*

This gives my the following coeffs.

Linear model Poly11: *f(x,y) = p00 + p10*x + p01*y* where x is normalized by mean 260.9 and std 101.1 and where y is normalized by mean 230.9 and std 102 Coefficients (with 95% confidence bounds):

       p00 = 1042 (1041, 1042)
       p10 = 25.17 (24.94, 25.4)
       p01 = -43.33 (-43.56, -43.1)

From *f(x,y) = p00 + p10*x + p01*y* equation, I want to calculate Dip, Azimuth and Strike angles of the plane. Any ideas will be much appreciated. Thanks