def build_psf(xc, yc, sky, H, r_table, slice_scale = None,pad_shape = None):
'''
Slice_scale = only return "slice scaled" image
'''
try:
psf_shape = r_table.shape
if pad_shape != None:
# Need to make PSF fitting bigger
top = int((pad_shape[0] - r_table.shape[0])/2)
bottom= int((pad_shape[0] - r_table.shape[0])/2)
left = int((pad_shape[1] - r_table.shape[1])/2)
right = int((pad_shape[1] - r_table.shape[1])/2)
# print((top, bottom), (left, right))
psf_shape = pad_shape
r_table = np.pad(r_table, [(top, bottom), (left, right)], mode='constant', constant_values=0)
x_rebin = np.arange(0,psf_shape[0])
y_rebin = np.arange(0,psf_shape[1])
xx_rebin,yy_rebin = np.meshgrid(x_rebin,y_rebin)
# sigma = fwhm/(2*np.sqrt(2*np.log(2)))
if syntax['use_moffat']:
core = moffat_2d((xx_rebin,yy_rebin),xc,yc,sky,H,syntax['image_params']).reshape(psf_shape)
else:
core = gauss_2d((xx_rebin,yy_rebin),xc,yc,sky,H,syntax['image_params']).reshape(psf_shape)
residual_rebinned = np.repeat(np.repeat(r_table, regriding_size, axis=0), regriding_size, axis=1)
x_roll = scale_roll(xc,int(r_table.shape[1]/2),regriding_size)
y_roll = scale_roll(yc,int(r_table.shape[0]/2),regriding_size)
residual_roll = np.roll(np.roll(residual_rebinned,y_roll,axis=0),x_roll,axis = 1)
residual = rebin(residual_roll,psf_shape)
psf = (sky + (H* residual )) + core
if np.isnan(np.min(psf)):
logger.info(sky,H,np.min(residual),np.min(core))
psf[np.isnan(psf)] = 0
if slice_scale != None:
psf = psf[int ( 0.5 * r_table.shape[1] - slice_scale): int(0.5*r_table.shape[1] + slice_scale),
int ( 0.5 * r_table.shape[0] - slice_scale): int(0.5*r_table.shape[0] + slice_scale)]
except Exception as e:
logger.exception(e)
psf = np.nan
return psf
def residual(p):
p = p.valuesdict()
return (close_up - gauss_2d(
(xx, yy), p['x0'], p['y0'],
p['sky'], p['A'],
dict(sigma=p['sigma'])).reshape(
close_up.shape)).flatten()
def do(df,residual,syntax,fwhm):
try:
from photutils import CircularAperture
from photutils import aperture_photometry
from scipy.integrate import dblquad
import logging
logger = logging.getLogger(__name__)
xc = syntax['scale']
yc = syntax['scale']
# Integration radius
# int_scale = 2*syntax['image_radius']
int_scale = syntax['ap_size'] * fwhm
int_range_x = [xc - int_scale , xc + int_scale]
int_range_y = [yc - int_scale , yc + int_scale]
# Core Gaussian component with height 1 and sigma value sigma
if syntax['use_moffat']:
core= lambda y, x: moffat_2d((x,y),syntax['scale'],syntax['scale'],0,1,syntax['image_params'])
else:
core= lambda y, x: gauss_2d((x,y),syntax['scale'],syntax['scale'],0,1,syntax['image_params'])
core_int = dblquad(core, int_range_y[0],int_range_y[1],lambda x:int_range_x[0],lambda x:int_range_x[1])[0]
# core_int = 2*np.pi*sigma**2
# Aperture Photometry over residual
apertures = CircularAperture((syntax['scale'],syntax['scale']), r=int_scale)
phot_table = aperture_photometry(residual, apertures,method='subpixel',subpixels=4)
phot_table['aperture_sum'].info.format = '%.8g'
residual_int = phot_table[0]
# Counts from core compoent on PSF
syntax['c_counts'] = float(core_int)
# Counts from Residual component of PSF
syntax['r_counts'] = float(residual_int['aperture_sum'])
# Counts in a PSF with fwhm 2 sqrt(2 ln 2) * sigma and height 1
sudo_psf = core_int+float(residual_int['aperture_sum'])
psf_int = df.H_psf * sudo_psf
psf_int_err = df.H_psf_err * sudo_psf
df['psf_counts'] = psf_int.values
df['psf_counts_err'] = psf_int_err.values
except Exception as e:
logger.exception(e)
df = np.nan
return df,syntax
def input_model(x, y, A):
x = np.arange(0, image.shape[0])
xx, yy = np.meshgrid(x, x)
from autophot.packages.functions import gauss_2d, moffat_2d
if syntax['use_moffat']:
model = moffat_2d(
(xx, yy), x, y, 0, A,
syntax['image_params']).reshape(image.shape)
else:
model = gauss_2d(
(xx, yy), x, y, 0, A,
syntax['image_params']).reshape(image.shape)
return model
def residual(p):
p = p.valuesdict()
return (source - gauss_2d((xx_sl,yy_sl),p['x0'],p['y0'],0,p['A'],dict(sigma=p['sigma'])).reshape(source.shape)).flatten()
def fit(image,sources,residual_table,syntax,fwhm,
return_psf_model = False,
save_plot = False,show_plot = False,
rm_bkg_val = True,hold_pos = False,
return_fwhm = False,return_subtraction_image = False,
fname = None,no_print = False
):
'''
Fitting of PSF model to source
'''
import numpy as np
import pandas as pd
import pathlib
import lmfit
import logging
import matplotlib.pyplot as plt
from autophot.packages.functions import gauss_2d,moffat_2d,moffat_fwhm,gauss_sigma2fwhm
from matplotlib.gridspec import GridSpec
import os
dir_path = os.path.dirname(os.path.realpath(__file__))
plt.style.use(os.path.join(dir_path,'autophot.mplstyle'))
logger = logging.getLogger(__name__)
fitting_radius = int(np.ceil(1.3*fwhm))
regriding_size = int(syntax['regrid_size'])
sources = sources
residual_table = residual_table
def build_psf(xc, yc, sky, H, r_table, slice_scale = None,pad_shape = None):
'''
Slice_scale = only return "slice scaled" image
'''
try:
psf_shape = r_table.shape
if pad_shape != None:
# Need to make PSF fitting bigger
top = int((pad_shape[0] - r_table.shape[0])/2)
bottom= int((pad_shape[0] - r_table.shape[0])/2)
left = int((pad_shape[1] - r_table.shape[1])/2)
right = int((pad_shape[1] - r_table.shape[1])/2)
# print((top, bottom), (left, right))
psf_shape = pad_shape
r_table = np.pad(r_table, [(top, bottom), (left, right)], mode='constant', constant_values=0)
x_rebin = np.arange(0,psf_shape[0])
y_rebin = np.arange(0,psf_shape[1])
xx_rebin,yy_rebin = np.meshgrid(x_rebin,y_rebin)
# sigma = fwhm/(2*np.sqrt(2*np.log(2)))
if syntax['use_moffat']:
core = moffat_2d((xx_rebin,yy_rebin),xc,yc,sky,H,syntax['image_params']).reshape(psf_shape)
else:
core = gauss_2d((xx_rebin,yy_rebin),xc,yc,sky,H,syntax['image_params']).reshape(psf_shape)
residual_rebinned = np.repeat(np.repeat(r_table, regriding_size, axis=0), regriding_size, axis=1)
x_roll = scale_roll(xc,int(r_table.shape[1]/2),regriding_size)
y_roll = scale_roll(yc,int(r_table.shape[0]/2),regriding_size)
residual_roll = np.roll(np.roll(residual_rebinned,y_roll,axis=0),x_roll,axis = 1)
residual = rebin(residual_roll,psf_shape)
psf = (sky + (H* residual )) + core
if np.isnan(np.min(psf)):
logger.info(sky,H,np.min(residual),np.min(core))
psf[np.isnan(psf)] = 0
if slice_scale != None:
psf = psf[int ( 0.5 * r_table.shape[1] - slice_scale): int(0.5*r_table.shape[1] + slice_scale),
int ( 0.5 * r_table.shape[0] - slice_scale): int(0.5*r_table.shape[0] + slice_scale)]
except Exception as e:
logger.exception(e)
psf = np.nan
return psf
if return_psf_model:
shape = int(2*syntax['scale']),int(2*syntax['scale'])
x_slice = np.arange(0,shape[0])
xx_sl,yy_sl= np.meshgrid(x_slice,x_slice)
if syntax['use_moffat']:
PSF_model = moffat_2d((xx_sl,yy_sl),shape[1]/2,shape[1]/2,0,1,dict(alpha=syntax['image_params']['alpha'],beta=syntax['image_params']['beta'])).reshape(shape)
else:
PSF_model= gauss_2d((xx_sl,yy_sl),shape[1]/2,shape[1]/2,0,1,dict(sigma=syntax['image_params']['sigma'])).reshape(shape)
return PSF_model
psf_params = []
x = np.arange(0,2*syntax['scale'])
xx,yy= np.meshgrid(x,x)
if hold_pos:
dx = 1e-6
dy = 1e-6
else:
dx = syntax['dx']
dy = syntax['dy']
lower_x_bound = syntax['scale']
lower_y_bound = syntax['scale']
upper_x_bound = syntax['scale']
upper_y_bound = syntax['scale']
if return_subtraction_image:
from astropy.visualization.mpl_normalize import ImageNormalize
from astropy.visualization import ZScaleInterval, SquaredStretch
norm = ImageNormalize( stretch = SquaredStretch())
vmin,vmax = (ZScaleInterval(nsamples = 1500)).get_limits(image)
'''
Known issue - for poor images, some sources may be too close to boundary, remove this
'''
if not return_fwhm and not no_print:
logger.info('Image cutout size: (%.f,%.f) (%.f,%.f)' % ((lower_x_bound,upper_x_bound,lower_y_bound,upper_y_bound)))
sources = sources[sources.x_pix < image.shape[1] - upper_x_bound]
sources = sources[sources.x_pix > lower_x_bound]
sources = sources[sources.y_pix < image.shape[0] - upper_y_bound]
sources = sources[sources.y_pix > lower_y_bound]
if not no_print:
logger.info('Fitting PSF to %d sources' % len(sources))
for n in range(len(sources.index)):
if not return_fwhm and not no_print:
print('\rFitting PSF to source: %d / %d' % (n+1,len(sources)), end = '')
try:
idx = list(sources.index)[n]
source_base = image[int(sources.y_pix[idx]-lower_y_bound): int(sources.y_pix[idx] + upper_y_bound),
int(sources.x_pix[idx]-lower_x_bound): int(sources.x_pix[idx] + upper_x_bound)]
if source_base.shape != (int(2*syntax['scale']),int(2*syntax['scale'])):
print('not right shape')
bkg_median = np.nan
H = np.nan
H_psf_err = np.nan
x_fitted = np.nan
y_fitted = np.nan
psf_params.append((idx,x_fitted,y_fitted,bkg_median,H,H_psf_err))
continue
xc = syntax['scale']
yc = syntax['scale']
xc_global = sources.x_pix[idx]
yc_global = sources.y_pix[idx]
if not rm_bkg_val:
source_bkg_free = source_base
bkg_median = 0
else:
try:
source_bkg_free,bkg_surface = rm_bkg(source_base,syntax,source_base.shape[1]/2,source_base.shape[0]/2)
bkg_median = np.nanmedian(bkg_surface)
except Exception as e:
bkg_median = np.nan
H = np.nan
H_psf_err = np.nan
x_fitted = np.nan
y_fitted = np.nan
psf_params.append((idx,x_fitted,y_fitted,bkg_median,H,H_psf_err))
logger.exception(e)
continue
source = source_bkg_free[int(0.5*source_bkg_free.shape[1] - fitting_radius):int(0.5*source_bkg_free.shape[1] + fitting_radius) ,
int(0.5*source_bkg_free.shape[0] - fitting_radius):int(0.5*source_bkg_free.shape[0] + fitting_radius) ]
if source.shape != (int(2*fitting_radius),int(2*fitting_radius)):
bkg_median = np.nan
H = np.nan
H_psf_err = np.nan
x_fitted = np.nan
y_fitted = np.nan
psf_params.append((idx,x_fitted,y_fitted,bkg_median,H,H_psf_err))
continue
if np.sum(np.isnan(source)) == len(source):
bkg_median = np.nan
H = np.nan
H_psf_err = np.nan
x_fitted = np.nan
y_fitted = np.nan
psf_params.append((idx,x_fitted,y_fitted,bkg_median,H,H_psf_err))
continue
if hold_pos:
dx = 1e-6
dy = 1e-6
else:
dx = syntax['dx']
dy = syntax['dy']
# if not return_fwhm:
# dx = syntax['dx']
# dy = syntax['catalogdy']
x_slice = np.arange(0,2*fitting_radius)
xx_sl,yy_sl= np.meshgrid(x_slice,x_slice)
if return_fwhm :
if not no_print:
logger.info('Fitting gaussian to source to get FWHM')
pars = lmfit.Parameters()
pars.add('A',value = np.nanmax(source),min = 0)
pars.add('x0',value = source.shape[1]/2,min = 0.5*source.shape[1] - dx,max = 0.5*source.shape[1] + dx)
pars.add('y0',value = source.shape[0]/2,min = 0.5*source.shape[0] - dy,max = 0.5*source.shape[0] + dy)
# print(pars)
if syntax['use_moffat']:
pars.add('alpha',value = syntax['image_params']['alpha'],
min = 0,max = 25)
pars.add('beta',value = syntax['image_params']['beta'],
min = 0,
vary = syntax['vary_moff_beta'] )
else:
pars.add('sigma',value = syntax['image_params']['sigma'],
min = 0,
max = gauss_fwhm2sigma(syntax['max_fit_fwhm']) )
if syntax['use_moffat']:
fitting_model_fwhm = moffat_fwhm
def residual(p):
p = p.valuesdict()
return (source - moffat_2d((xx_sl,yy_sl),p['x0'],p['y0'],0,p['A'],dict(alpha=p['alpha'],beta=p['beta'])).reshape(source.shape)).flatten()
else:
fitting_model_fwhm = gauss_sigma2fwhm
def residual(p):
p = p.valuesdict()
return (source - gauss_2d((xx_sl,yy_sl),p['x0'],p['y0'],0,p['A'],dict(sigma=p['sigma'])).reshape(source.shape)).flatten()
mini = lmfit.Minimizer(residual, pars,nan_policy = 'omit')
result = mini.minimize(method = 'least_squares')
xc = result.params['x0'].value
yc = result.params['y0'].value
if syntax['use_moffat']:
target_PSF_FWHM = fitting_model_fwhm(dict(alpha=result.params['alpha'],beta=result.params['beta']))
else:
target_PSF_FWHM = fitting_model_fwhm(dict(sigma=result.params['sigma']))
if not no_print:
logger.info('Target FWHM: %.3f' % target_PSF_FWHM)
xc_global = xc - 0.5*source.shape[1] + sources.x_pix[idx]
yc_global = yc - 0.5*source.shape[0] + sources.y_pix[idx]
# shift image and increase shize of image by shift
# xc_global = sources.x_pix[idx]
# yc_global = sources.y_pix[idx]
source_base = image[int(yc_global-lower_y_bound): int(yc_global + upper_y_bound),
int(xc_global-lower_x_bound): int(xc_global + upper_x_bound)]
source_bkg_free,bkg_surface = rm_bkg(source_base,syntax,source_bkg_free.shape[0]/2,source_bkg_free.shape[1]/2)
bkg_median = np.nanmedian(bkg_surface)
source = source_bkg_free[int(source_bkg_free.shape[0]/2 - fitting_radius):int(source_bkg_free.shape[0]/2 + fitting_radius) ,
int(source_bkg_free.shape[1]/2 - fitting_radius):int(source_bkg_free.shape[1]/2 + fitting_radius) ]
# =============================================================================
#
# =============================================================================
try:
'''
Fit and subtract PSF model
'''
if hold_pos:
dx = 1e-6
dy = 1e-6
else:
dx = syntax['dx']
dy = syntax['dy']
pars = lmfit.Parameters()
pars.add('A', value = np.nanmax(source)*0.75,min = 0)
pars.add('x0',value = 0.5*residual_table.shape[1],
min = 0.5*residual_table.shape[1]-dx,
max = 0.5*residual_table.shape[1]+dx)
pars.add('y0',value = 0.5*residual_table.shape[0],
min = 0.5*residual_table.shape[0]-dy,
max = 0.5*residual_table.shape[0]+dy)
def residual(p):
p = p.valuesdict()
res = ((source - build_psf(p['x0'],p['y0'],0,p['A'],residual_table,slice_scale = source.shape[0]/2)))
return res.flatten()
mini = lmfit.Minimizer(residual,
pars,
nan_policy = 'omit',
scale_covar=True)
result = mini.minimize(method = 'least_squares')
xc = result.params['x0'].value
yc = result.params['y0'].value
H = result.params['A'].value
H_psf_err = result.params['A'].stderr
x_fitted = xc -0.5*residual_table.shape[1] + xc_global
y_fitted = yc -0.5*residual_table.shape[1] + yc_global
# print(H,bkg_median)
if syntax['remove_sat']:
if H+bkg_median >= syntax['sat_lvl']:
# print('here')
bkg_median = np.nan
H = np.nan
H_psf_err = np.nan
psf_params.append((idx,x_fitted,y_fitted,bkg_median,H,H_psf_err))
continue
except Exception as e:
logger.exception(e)
bkg_median = np.nan
H = np.nan
H_psf_err = np.nan
psf_params.append((idx,x_fitted,y_fitted,bkg_median,H,H_psf_err))
continue
if syntax['use_covarience']:
H_psf_err = result.params['A'].stderr
else:
logger.warning('Error not computed')
H_psf_err = 0
psf_params.append((idx,x_fitted,y_fitted,bkg_median,H,H_psf_err))
if return_subtraction_image:
try:
image_section = image[int(yc_global - syntax['scale']): int(yc_global + syntax['scale']),
int(xc_global - syntax['scale']): int(xc_global + syntax['scale'])]
image[int(yc_global - syntax['scale']): int(yc_global + syntax['scale']),
int(xc_global - syntax['scale']): int(xc_global + syntax['scale'])] = image_section - build_psf(xc , yc, 0, H, residual_table)
image_section_subtraction = image_section - build_psf(xc , yc, 0, H, residual_table)
fig, ax1, = plt.subplots()
ax_before = ax1.inset_axes([0.95, 0.70, 0.4, 0.25])
ax_after = ax1.inset_axes([0.95, 0.20, 0.4, 0.25])
ax1.imshow(image,
vmin = vmin,
vmax = vmax,
norm = norm,
origin = 'lower',
cmap = 'gist_heat',
interpolation = 'nearest')
ax1.set_xlim(0,image.shape[0])
ax1.set_ylim(0,image.shape[1])
ax1.scatter(xc_global,
yc_global,
marker = 'o',
facecolor = 'None',
color = 'green',
s = 25)
ax_before.imshow(image_section,
vmin = vmin,
vmax = vmax,
norm = norm,
origin = 'lower',
cmap = 'gist_heat',
interpolation = 'nearest')
ax_after.imshow(image_section_subtraction,
vmin = vmin,
vmax = vmax,
norm = norm,
origin = 'upper',
cmap = 'gist_heat',
interpolation = 'nearest')
ax_after.axis('off')
ax_before.axis('off')
ax1.axis('off')
ax_after.set_title('After')
ax_before.set_title('Before')
logger.info('Image %s / %s saved' % (str(idx),str(len(sources.index))))
plt.close(fig)
except Exception as e:
logger.exception(e)
plt.close('all')
pass
if syntax['show_residuals'] or show_plot == True or save_plot == True:
fig = plt.figure(figsize = set_size(500,aspect =0.5))
try:
from astropy.visualization import ZScaleInterval
vmin,vmax = (ZScaleInterval(nsamples = 1500)).get_limits(source_base)
h, w = source_bkg_free.shape
x = np.linspace(0, int(2*syntax['scale']), int(2*syntax['scale']))
y = np.linspace(0, int(2*syntax['scale']), int(2*syntax['scale']))
X, Y = np.meshgrid(x, y)
ncols = 6
nrows = 3
heights = [1,1,0.75]
widths = [1,1,0.75,1,1,0.75]
grid = GridSpec(nrows, ncols ,wspace=0.5, hspace=0.5,
height_ratios=heights,width_ratios = widths
)
# grid = GridSpec(nrows, ncols ,wspace=0.3, hspace=0.5)
ax1 = fig.add_subplot(grid[0:2, 0:2])
ax1_B = fig.add_subplot(grid[2, 0:2])
ax1_R = fig.add_subplot(grid[0:2, 2])
ax2 = fig.add_subplot(grid[0:2, 3:5])
ax2_B = fig.add_subplot(grid[2, 3:5])
ax2_R = fig.add_subplot(grid[0:2, 5])
ax1_B.set_xlabel('X Pixel')
ax2_B.set_xlabel('X Pixel')
ax1.set_ylabel('Y Pixel')
# ax1.set_title('H:%d' % (H+bkg_median))
# ax2.set_ylabel('Y Pixel')
ax1_R.yaxis.tick_right()
ax2_R.yaxis.tick_right()
ax1.xaxis.tick_top()
ax2.xaxis.tick_top()
ax2.axes.yaxis.set_ticklabels([])
# ax2_R.axes.yaxis.set_ticklabels([])
bbox=ax1_R.get_position()
offset= -0.04
ax1_R.set_position([bbox.x0+ offset, bbox.y0 , bbox.x1-bbox.x0, bbox.y1 - bbox.y0])
bbox=ax2_R.get_position()
offset= -0.04
ax2_R.set_position([bbox.x0+ offset, bbox.y0 , bbox.x1-bbox.x0, bbox.y1 - bbox.y0])
bbox=ax1_B.get_position()
offset= 0.08
ax1_B.set_position([bbox.x0, bbox.y0+ offset , bbox.x1-bbox.x0, bbox.y1 - bbox.y0])
bbox=ax2_B.get_position()
offset= 0.08
ax2_B.set_position([bbox.x0, bbox.y0+ offset , bbox.x1-bbox.x0, bbox.y1 - bbox.y0])
ax1.imshow(source_base,
origin = 'lower',
aspect="auto",
vmin = vmin,
vmax = vmax,
interpolation = 'nearest'
)
ax1.scatter(xc,yc,label = 'Best fit',
marker = '+',
color = 'red',
s = 20)
ax1_R.plot(source_base[:,w//2],Y[:,w//2],marker = 'o',color = 'blue')
ax1_B.plot(X[h//2,:],source_base[h//2,:],marker = 'o',color = 'blue')
# include surface
ax1_R.plot(bkg_surface[:,w//2],Y[:,w//2],marker = 's',color = 'red')
ax1_B.plot(X[h//2,:],bkg_surface[h//2,:],marker = 's',color = 'red')
fitted_source = build_psf(xc,yc,0,H,residual_table)
# include fitted_source
ax1_R.plot((bkg_surface+fitted_source)[:,w//2],Y[:,w//2],marker = 's',color = 'green')
ax1_B.plot(X[h//2,:],(bkg_surface+fitted_source)[h//2,:],marker = 's',color = 'green')
'''
Subtracted image
'''
import matplotlib.ticker as ticker
ax1_B_yticks = np.array(ax1_B.get_yticks())
scale = order_shift(abs(ax1_B_yticks))
ticks = ticker.FuncFormatter(lambda x, pos: '{0:g}'.format(x/scale))
ax1_B.set_ylabel('$10^{%d}$ counts' % np.log10(order_shift(abs(ax1_B_yticks))))
ax1_B.yaxis.set_major_formatter(ticks)
ax1_R_yticks = np.array(ax1_R.get_xticks())
scale = order_shift(abs(ax1_R_yticks))
ticks = ticker.FuncFormatter(lambda x, pos: '{0:g}'.format(x/scale))
ax1_R.set_xlabel('$10^{%d}$ counts' % np.log10(order_shift(abs(ax1_R_yticks))))
ax1_R.xaxis.set_major_formatter(ticks)
ax2_B_yticks = np.array(ax2_B.get_yticks())
scale = order_shift(abs(ax2_B_yticks))
ticks = ticker.FuncFormatter(lambda x, pos: '{0:g}'.format(x/scale))
ax2_B.set_ylabel('$10^{%d}$ counts' % np.log10(order_shift(abs(ax2_B_yticks))))
ax2_B.yaxis.set_major_formatter(ticks)
ax2_R_yticks = np.array(ax2_R.get_xticks())
scale = order_shift(abs(ax2_R_yticks))
ticks = ticker.FuncFormatter(lambda x, pos: '{0:g}'.format(x/scale))
ax2_R.set_xlabel('$10^{%d}$ counts' % np.log10(order_shift(abs(ax2_R_yticks))))
ax2_R.xaxis.set_major_formatter(ticks)
subtracted_image = source_bkg_free - fitted_source + bkg_surface
ax2.imshow(subtracted_image,
origin = 'lower',
aspect="auto",
vmin = vmin,
vmax = vmax,
interpolation = 'nearest'
)
ax2.scatter(xc,yc,label = 'Best fit',
marker = '+',
color = 'red',
s = 20)
ax2_R.plot(subtracted_image[:,w//2],Y[:,w//2],marker = 'o',color = 'blue')
ax2_B.plot(X[h//2,:],subtracted_image[h//2,:],marker = 'o',color = 'blue')
# Show surface
ax2_R.plot(bkg_surface[:,w//2],Y[:,w//2],marker = 's',color = 'red')
ax2_B.plot(X[h//2,:],bkg_surface[h//2,:],marker = 's',color = 'red')
# include fitted_source
ax2_R.plot((bkg_surface+fitted_source)[:,w//2],Y[:,w//2],marker = 's',color = 'green')
ax2_B.plot(X[h//2,:],(bkg_surface+fitted_source)[h//2,:],marker = 's',color = 'green')
if save_plot == True:
fig.savefig(syntax['write_dir']+'target_psf_'+fname+'.pdf',
format = 'pdf',
# bbox_inches='tight'
)
logger.info('Image %s / %s saved' % (str(n+1),str(len(sources.index)) ))
else:
pathlib.Path(syntax['write_dir']+'/'+'psf_subtractions/').mkdir(parents = True, exist_ok=True)
plt.savefig(syntax['write_dir']+'psf_subtractions/'+'psf_subtraction_{}.png'.format(int(n)))
plt.close(fig)
except Exception as e:
logger.exception(e)
plt.close('all')
except Exception as e:
logger.exception(e)
bkg_median = np.nan
H = np.nan
H_psf_err = np.nan
psf_params.append((idx,x_fitted,y_fitted,bkg_median,H,H_psf_err))
continue
new_df = pd.DataFrame(psf_params,columns = ('idx','x_fitted','y_fitted','bkg','H_psf','H_psf_err'),index = sources.index)
if return_fwhm:
new_df['target_fwhm'] = target_PSF_FWHM,
# new_df['target_fwhm_err'] =source_fwhm_err
elif not no_print:
print(' ')
if not return_psf_model:
return pd.concat([sources,new_df],axis = 1),build_psf
def build_r_table(base_image,selected_sources,syntax,fwhm):
'''
Build tables of residuals from bright isolated sources given in selected_sources dataframe
Function will function selected function to these sources and normialise there residaul array to build a residual image
which will then be used to make a PSF for the image
'''
import numpy as np
from astropy.stats import sigma_clipped_stats
from photutils import DAOStarFinder
import pandas as pd
import lmfit
import logging
from autophot.packages.functions import pix_dist,gauss_sigma2fwhm
from autophot.packages.uncertain import SNR
from autophot.packages.aperture import ap_phot
from autophot.packages.functions import gauss_2d,gauss_fwhm2sigma
from autophot.packages.functions import moffat_2d,moffat_fwhm
if syntax['use_moffat']:
fitting_model = moffat_2d
fitting_model_fwhm = moffat_fwhm
else:
fitting_model = gauss_2d
fitting_model_fwhm = gauss_sigma2fwhm
try:
logger = logging.getLogger(__name__)
image = base_image.copy()
# Only fit to a small image with radius ~the fwhm
fitting_radius = int(np.ceil(fwhm))
# for matchinf each source residual image with will regrid the image for shifting later
regriding_size = int(syntax['regrid_size'])
# m = regriding_size
if regriding_size % 2 > 0:
logger.info('regrid size must be even adding 1')
regriding_size += 1
# FWHM/sigma fits
fwhm_fit = []
# what sources will be used
construction_sources = []
# Residual Table in extended format
residual_table = np.zeros((int(2 * syntax['scale'] * regriding_size), int(2 * syntax['scale']*regriding_size)))
# if syntax['remove_sat']:
# len_with_sat = len(selected_sources)
# selected_sources = selected_sources[selected_sources['flux_ap']+selected_sources['median']<= syntax['sat_lvl']]
# print('%d saturdated PSF stars removed' % (len_with_sat-len(selected_sources)))
selected_sources['dist'] = pix_dist(syntax['target_x_pix'],selected_sources.x_pix,
syntax['target_y_pix'],selected_sources.y_pix)
selected_sources_mask = sigma_clip(selected_sources['median'], sigma=3, maxiters=5,masked=True)
selected_sources = selected_sources[~selected_sources_mask.mask]
if syntax['use_local_stars_for_PSF']:
'''
Use local stars given by 'use_acrmin' parameter
'''
selected_sources_test = selected_sources[selected_sources['dist'] <= syntax['local_radius']]
selected_sources = selected_sources_test
flux_idx = [i for i in selected_sources.flux_ap.sort_values(ascending = False).index]
sources_used = 1
n = 0
failsafe = 0
psf_mag = []
image_radius_lst = []
sources_dict = {}
while sources_used <= syntax['psf_source_no']:
if failsafe>25:
logger.info('PSF - Failed to build psf')
residual_table=None
fwhm_fit = fwhm
if n >= len(flux_idx):
if sources_used >= syntax['min_psf_source_no']:
logger.info('Using worst case scenario number of sources')
break
logger.info('PSF - Ran out of sources')
residual_table=None
fwhm_fit = fwhm
break
try:
idx = flux_idx[n]
n+=1
# Inital guess at where psf source is is
psf_image = image[int(selected_sources.y_pix[idx]-syntax['scale']): int(selected_sources.y_pix[idx] + syntax['scale']),
int(selected_sources.x_pix[idx]-syntax['scale']): int(selected_sources.x_pix[idx] + syntax['scale'])]
if len(psf_image) == 0:
logger.info('PSF image ERROR')
continue
try:
if np.min(psf_image) == np.nan:
continue
except:
continue
mean, median, std = sigma_clipped_stats(psf_image, sigma = syntax['source_sigma_close_up'], maxiters = syntax['iters'])
daofind = DAOStarFinder(fwhm=np.floor(fwhm),
threshold = syntax['lim_SNR']*std,
roundlo = -1.0, roundhi = 1.0,
sharplo = 0.2, sharphi = 1.0)
sources = daofind(psf_image - median)
if sources is None:
sources = []
if len(sources) > 1:
dist = [list(pix_dist(
sources['xcentroid'][i],
sources['xcentroid'],
sources['ycentroid'][i],
sources['ycentroid']) for i in range(len(sources)))]
dist = np.array(list(set(np.array(dist).flatten())))
if all(dist < 2):
pass
else:
continue
psf_image = image[int(selected_sources.y_pix[idx]-syntax['scale']): int(selected_sources.y_pix[idx]+syntax['scale']),
int(selected_sources.x_pix[idx]-syntax['scale']): int(selected_sources.x_pix[idx]+syntax['scale'])]
psf_image_bkg_free,bkg_surface = rm_bkg(psf_image,syntax,psf_image.shape[0]/2,psf_image.shape[0]/2)
x = np.arange(0,2*syntax['scale'])
xx,yy= np.meshgrid(x,x)
pars = lmfit.Parameters()
pars.add('A',value = np.nanmax(psf_image_bkg_free),min=0)
pars.add('x0',value = psf_image_bkg_free.shape[1]/2,min = 0, max =psf_image_bkg_free.shape[1] )
pars.add('y0',value = psf_image_bkg_free.shape[0]/2,min = 0, max =psf_image_bkg_free.shape[0])
pars.add('sky',value = np.nanmedian(psf_image_bkg_free))
if syntax['use_moffat']:
pars.add('alpha',value = syntax['image_params']['alpha'],
min = 0,
vary = syntax['fit_PSF_FWHM'] )
pars.add('beta',value = syntax['image_params']['beta'],
min = 0,
vary = syntax['vary_moff_beta'] or syntax['fit_PSF_FWHM'] )
else:
pars.add('sigma', value = syntax['image_params']['sigma'],
min = 0,
max = gauss_fwhm2sigma(syntax['max_fit_fwhm']),
vary = syntax['vary_moff_beta'] or syntax['fit_PSF_FWHM']
)
if syntax['use_moffat']:
def residual(p):
p = p.valuesdict()
return (psf_image_bkg_free - moffat_2d((xx,yy),p['x0'],p['y0'],p['sky'],p['A'],dict(alpha=p['alpha'],beta=p['beta'])).reshape(psf_image_bkg_free.shape)).flatten()
else:
def residual(p):
p = p.valuesdict()
return (psf_image_bkg_free - gauss_2d((xx,yy),p['x0'],p['y0'],p['sky'],p['A'],dict(sigma=p['sigma'])).reshape(psf_image_bkg_free.shape)).flatten()
mini = lmfit.Minimizer(residual, pars,nan_policy = 'omit')
result = mini.minimize(method = 'least_squares')
xc = result.params['x0'].value
yc = result.params['y0'].value
ap_range = np.arange(0.1,syntax['scale']/fwhm,1/25)
ap_sum = []
for nm in ap_range:
ap,bkg = ap_phot( [(xc,yc)] ,
psf_image_bkg_free,
radius = nm * fwhm,
r_in = syntax['r_in_size'] * fwhm,
r_out = syntax['r_out_size'] * fwhm)
ap_sum.append(ap)
ap_sum = ap_sum/np.nanmax(ap_sum)
radius = ap_range[np.argmax(ap_sum>=syntax['norm_count_sum'])]
image_radius = radius * fwhm
image_radius_lst.append(image_radius)
'''
refit only focusing on highest SNR area given by fitting radius
'''
# global pixel coorindates base on bn gaussian fit
xc_global = xc - syntax['scale'] + int(selected_sources.x_pix[idx])
yc_global = yc - syntax['scale'] + int(selected_sources.y_pix[idx])
# recenter image absed on location of best fit x and y
psf_image = image[int(yc_global-syntax['scale']): int(yc_global + syntax['scale']),
int(xc_global-syntax['scale']): int(xc_global + syntax['scale'])]
psf_image_bkg_free,bkg_median = rm_bkg(psf_image,syntax,psf_image.shape[0]/2,psf_image.shape[0]/2)
psf_image_slice = psf_image_bkg_free[int(psf_image_bkg_free.shape[0]/2 - fitting_radius):int(psf_image_bkg_free.shape[0]/2 + fitting_radius) ,
int(psf_image_bkg_free.shape[0]/2 - fitting_radius):int(psf_image_bkg_free.shape[0]/2 + fitting_radius) ]
x_slice = np.arange(0,2*fitting_radius)
xx_sl,yy_sl= np.meshgrid(x_slice,x_slice)
pars = lmfit.Parameters()
pars.add('A',value = np.nanmean(psf_image_slice),min = 0,max = np.nanmax(psf_image_slice) )
pars.add('x0',value = psf_image_slice.shape[1]/2,min = 0,max = psf_image_slice.shape[1])
pars.add('y0',value = psf_image_slice.shape[0]/2,min = 0,max = psf_image_slice.shape[0] )
if syntax['use_moffat']:
pars.add('alpha',value = syntax['image_params']['alpha'],
min = 0,
vary = syntax['fit_PSF_FWHM'] )
pars.add('beta',value = syntax['image_params']['beta'],
min = 0,
vary = syntax['vary_moff_beta'] or syntax['fit_PSF_FWHM'] )
else:
pars.add('sigma', value = syntax['image_params']['sigma'],
min = 0,
max = gauss_fwhm2sigma(syntax['max_fit_fwhm']),
vary = syntax['fit_PSF_FWHM']
)
if syntax['use_moffat']:
def residual(p):
p = p.valuesdict()
return (psf_image_slice - moffat_2d((xx_sl,yy_sl),p['x0'],p['y0'],0,p['A'],dict(alpha=p['alpha'],beta=p['beta'])).reshape(psf_image_slice .shape)).flatten()
else:
def residual(p):
p = p.valuesdict()
return (psf_image_slice - gauss_2d((xx_sl,yy_sl),p['x0'],p['y0'],0,p['A'],dict(sigma=p['sigma'])).reshape(psf_image_slice.shape)).flatten()
mini = lmfit.Minimizer(residual, pars,nan_policy = 'omit')
result = mini.minimize(method = 'least_squares')
# print(result.params)
positions = list(zip([xc_global ],[yc_global ]))
psf_counts,psf_bkg = ap_phot(positions,
image,
radius = syntax['ap_size'] * fwhm,
r_in = syntax['r_in_size'] * fwhm,
r_out = syntax['r_out_size'] * fwhm)
if syntax['use_moffat']:
PSF_FWHM = fitting_model_fwhm(dict(alpha=result.params['alpha'],beta=result.params['beta']))
else:
PSF_FWHM = fitting_model_fwhm(dict(sigma=result.params['sigma']))
PSF_SNR = SNR(psf_counts,psf_bkg,syntax['exp_time'],0,syntax['ap_size']*fwhm,syntax['gain'],0)[0]
if np.isnan(PSF_SNR) or np.isnan(PSF_FWHM):
logger.debug('PSF Contruction source fitting error')
continue
if PSF_SNR < syntax['construction_SNR'] and syntax['exp_time'] > 1:
logger.debug('PSF constuction source too low: %s' % int(PSF_SNR))
continue
else:
logger.info('SNR: %d FWHM: %.3f' % (PSF_SNR,PSF_FWHM))
# print('\rPSF source %d / %d :: SNR: %d' % (int(PSF_SNR)),end = '')
pass
# print(result.params)
xc = result.params['x0'].value
yc = result.params['y0'].value
H = result.params['A'].value
H_err = result.params['A'].stderr
xc_correction = xc - fitting_radius + syntax['scale']
yc_correction = yc - fitting_radius + syntax['scale']
if syntax['use_moffat']:
residual = psf_image_bkg_free - moffat_2d((xx,yy),xc_correction,yc_correction,
0,H,
dict(alpha=result.params['alpha'],beta=result.params['beta'])).reshape(psf_image_bkg_free.shape)
PSF_FWHM = fitting_model_fwhm(dict(alpha=result.params['alpha'],beta=result.params['beta']))
else:
residual = psf_image_bkg_free - gauss_2d((xx,yy),xc_correction,yc_correction,
0,H,
dict(sigma=result.params['sigma'])).reshape(psf_image_bkg_free.shape)
PSF_FWHM = fitting_model_fwhm(dict(sigma=result.params['sigma']))
residual /= H
psf_mag.append(-2.5*np.log10(H))
residual_regrid = np.repeat(np.repeat(residual, regriding_size, axis=0), regriding_size, axis=1)
x_roll = scale_roll(fitting_radius,xc,regriding_size)
y_roll = scale_roll(fitting_radius,yc,regriding_size)
residual_roll = np.roll(np.roll(residual_regrid,y_roll,axis=0),x_roll,axis = 1)
residual_table += residual_roll
sources_dict['PSF_%d'%sources_used] = {}
# print(H_err)
sources_dict['PSF_%d'%sources_used]['x_pix'] = xc_global
sources_dict['PSF_%d'%sources_used]['y_pix'] = yc_global
sources_dict['PSF_%d'%sources_used]['H_psf'] = float(H/syntax['exp_time'])
# sources_dict['PSF_%d'%sources_used]['H_psf_err'] = float(H_err/syntax['exp_time'])
sources_dict['PSF_%d'%sources_used]['fwhm'] = PSF_FWHM
sources_dict['PSF_%d'%sources_used]['x_best'] = xc_correction
sources_dict['PSF_%d'%sources_used]['y_best'] = yc_correction
sources_dict['PSF_%d'%sources_used]['close_up'] = psf_image_bkg_free
sources_dict['PSF_%d'%sources_used]['residual'] = residual
sources_dict['PSF_%d'%sources_used]['regrid'] = residual_regrid
sources_dict['PSF_%d'%sources_used]['roll'] = residual_roll
sources_dict['PSF_%d'%sources_used]['x_roll'] =x_roll
sources_dict['PSF_%d'%sources_used]['y_roll'] =y_roll
logger.debug('Residual table updated: %d / %d ' % (sources_used,syntax['psf_source_no']))
print('\rResidual table updated: %d / %d ' % (sources_used,syntax['psf_source_no']) ,end = '')
sources_used +=1
fwhm_fit.append(PSF_FWHM)
except Exception as e:
# logger.exception(e)
logger.error('** Fitting error - trying another source**')
failsafe+=1
n+=1
continue
print(' ')
if sources_used < syntax['min_psf_source_no']:
logger.warning('BUILDING PSF: Not enough useable sources found')
return None,None,construction_sources.append([np.nan]*5),syntax
logger.debug('PSF Successful')
#
# Get average of residual table
residual_table/= sources_used
# regrid residual table to psf size
residual_table = rebin(residual_table,( int(2*syntax['scale']),int(2*syntax['scale'])))
# construction_sources = pd.DataFrame(construction_sources)
construction_sources = pd.DataFrame.from_dict(sources_dict, orient='index',
columns=['x_pix','y_pix','H_psf','H_psf_err','fwhm','x_best','y_best'])
construction_sources.reset_index(inplace = True)
if syntax['plots_PSF_residual']:
from autophot.packages.create_plots import plot_PSF_model_steps
plot_PSF_model_steps(sources_dict,syntax,image)
if syntax['plots_PSF_sources']:
from autophot.packages.create_plots import plot_PSF_construction_grid
plot_PSF_construction_grid(construction_sources,image,syntax)
image_radius_lst = np.array(image_radius_lst)
syntax['image_radius'] = image_radius_lst.mean()
logger.info('Image_radius [pix] : %.3f +/- %.3f' % (image_radius_lst.mean(), image_radius_lst.std()))
except Exception as e:
logger.exception('BUILDING PSF: ',e)
raise Exception
return residual_table,fwhm_fit,construction_sources,syntax
def residual(p): p = p.valuesdict() return (psf_image_bkg_free - gauss_2d((xx,yy),p['x0'],p['y0'],p['sky'],p['A'],dict(sigma=p['sigma'])).reshape(psf_image_bkg_free.shape)).flatten()