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September 7, 2014 12:33
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -0,0 +1,48 @@ import numpy as np import scipy.optimize from mpl_toolkits.mplot3d import Axes3D import matplotlib.pyplot as plt fig = plt.figure() ax = fig.gca(projection='3d') def fitPlaneLTSQ(XYZ): (rows, cols) = XYZ.shape G = np.ones((rows, 3)) G[:, 0] = XYZ[:, 0] #X G[:, 1] = XYZ[:, 1] #Y Z = XYZ[:, 2] (a, b, c),resid,rank,s = np.linalg.lstsq(G, Z) normal = (a, b, -1) nn = np.linalg.norm(normal) normal = normal / nn return (c, normal) data = np.random.randn(100, 3)/3 data[:, 2] /=10 c, normal = fitPlaneLTSQ(data) # plot fitted plane maxx = np.max(data[:,0]) maxy = np.max(data[:,1]) minx = np.min(data[:,0]) miny = np.min(data[:,1]) point = np.array([0.0, 0.0, c]) d = -point.dot(normal) # plot original points ax.scatter(data[:, 0], data[:, 1], data[:, 2]) # compute needed points for plane plotting xx, yy = np.meshgrid([minx, maxx], [miny, maxy]) z = (-normal[0]*xx - normal[1]*yy - d)*1. / normal[2] # plot plane ax.plot_surface(xx, yy, z, alpha=0.2) ax.set_xlabel('x') ax.set_ylabel('y') ax.set_zlabel('z') plt.show()