Source code for bmtk.simulator.filternet.lgnmodel.gaborfilter
import ast
import numpy as np
import itertools
from six import string_types
from scipy import ndimage
#from . import utilities as util
from .kernel import Kernel2D
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class GaborFilter(object):
def __init__(self, translate=4.0, sigma_f=1.0, sigma_t=1.0, theta=0.0, Lambda=1.0, psi=0.0, amplitude= 1.,
direction=1):
"""Gabor-like filter: Sinusoidally modulated filter with Gaussian spectral and temporal envelope
As currently implemented, the envelope is not rotated with the sinusoid.
:param translate: float, the origin of the filter in units of log(freq/min_freq)
:param sigma_f: float, the gaussian std in direction of frequency (octaves)
:param sigma_t: float, the gaussian std in direction of time (s)
:param theta: float, rotation of the Gabor filter (radians)
:param Lambda: float, wavelength of sinusoidal component
:param psi: float, phase of sinusoidal component (radians)
:param amplitude: float, amplitude applied to filter after normalization
:param direction: int, direction of tilt: +1 for upward, -1 for downward, 0 for no tilt
"""
self.translate = translate
self.sigma_f = sigma_f
self.sigma_t = sigma_t
self.theta = theta
self.Lambda = Lambda
self.psi = psi
self.amplitude = amplitude
self.direction = direction
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def imshow(self, row_range, col_range, threshold=0, **kwargs):
return self.get_kernel(row_range, col_range, threshold).imshow(**kwargs)
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def to_dict(self):
return {
'class': (__name__, self.__class__.__name__),
'translate': self.translate,
'sigma_f': self.sigma_f,
'sigma_t': self.sigma_t,
'theta': self.theta,
'lambda': self.Lambda,
'psi': self.psi,
'amplitude': self.amplitude,
'direction': self.direction
}
[docs]
def get_kernel(self, row_range, col_range, threshold_rel=0.05):
"""Creates a 2D gaussian filter (kernel) for the given dimensions which can be used
:param row_range: array of times
:param col_range: array of frequency centers
:param threshold_rel: crop filter to region with amplitudes greater than threshold_rel * max value
:return: A Kernel2D object
"""
(y, x) = np.meshgrid(row_range, col_range)
translate_t = 0.5*self.Lambda*np.cos(self.theta)
# Variant that rotates the envelope for a proper Gabor
# sigma_f and sigma_t no longer strictly associated with each axis
# gauss = np.exp(-.5 * (((x-translate_t) * np.cos(self.theta) + (y-self.translate) * np.sin(self.theta)) ** 2 / self.sigma_t ** 2
# + (-(x-translate_t) * np.sin(self.theta) + (y-self.translate) * np.cos(self.theta)) ** 2 / self.sigma_f ** 2))
gauss = np.exp(-.5 * ((x-translate_t)**2/self.sigma_t**2 + (y-self.translate)**2/self.sigma_f**2))
wave = np.cos(2 * np.pi / self.Lambda * ((x-translate_t) * np.cos(self.theta) +
self.direction*(y-self.translate) * np.sin(self.theta)) + self.psi)
gb = gauss * wave
threshold = threshold_rel * np.max(gb)
kernel = Kernel2D.from_dense(row_range, col_range, gb, threshold=threshold)
kernel.normalize2()
kernel.kernel *= self.amplitude
# Uncomment this to visualize the filter
#kernel.imshow(truncate_col=True, xlabel='Time(s)', ylabel='log(freq) re: 50 Hz')
return kernel