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gaussfit.py
34 lines | 1.2 KiB | text/x-python | PythonLexer
from numpy import *
from scipy import optimize
def gaussian(height, center_x, center_y, width_x, width_y):
"""Returns a gaussian function with the given parameters"""
width_x = float(width_x)
width_y = float(width_y)
return lambda x,y: height*exp(
-(((center_x-x)/width_x)**2+((center_y-y)/width_y)**2)/2)
def moments(data):
"""Returns (height, x, y, width_x, width_y)
the gaussian parameters of a 2D distribution by calculating its
moments """
total = data.sum()
X, Y = indices(data.shape)
x = (X*data).sum()/total
y = (Y*data).sum()/total
col = data[:, int(y)]
width_x = sqrt(abs((arange(col.size)-y)**2*col).sum()/col.sum())
row = data[int(x), :]
width_y = sqrt(abs((arange(row.size)-x)**2*row).sum()/row.sum())
height = data.max()
return height, x, y, width_x, width_y
def fitgaussian(data):
"""Returns (height, x, y, width_x, width_y)
the gaussian parameters of a 2D distribution found by a fit"""
params = moments(data)
errorfunction = lambda p: ravel(gaussian(*p)(*indices(data.shape)) -
data)
p, success = optimize.leastsq(errorfunction, params)
return p