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speckle_flow.py
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171 lines (140 loc) · 9.01 KB
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# Description:
#
# Created by Ruiming Cao on December 18, 2020
# Contact: rcao@berkeley.edu
# Website: https://rmcao.github.io
import numpy as np
import jax.numpy as jnp
from flax import linen as nn
from flax.struct import dataclass
import calcil as cc
from calcil.physics.wave_optics import genPupil, zernikePolynomial
import utils
import spacetime
@dataclass
class SpeckleFlowSIMParameters:
space_time_param: spacetime.SpaceTimeParameters
motion_mlp_param: spacetime.MLPParameters
mlp_param: spacetime.MLPParameters
class SpeckleSIMCoherent(cc.forward.Model):
optical_param: utils.SystemParameters
pupil_aber_type: int = 1
def setup(self):
self.dim_yx_incl_padding = (self.optical_param.dim_yx[0] + self.optical_param.padding_yx[0] * 2,
self.optical_param.dim_yx[1] + self.optical_param.padding_yx[1] * 2)
self.pupil = genPupil(self.dim_yx_incl_padding,
self.optical_param.pixel_size, self.optical_param.na,
self.optical_param.wavelength).astype(jnp.complex64)[jnp.newaxis, :, :]
if self.pupil_aber_type == 1:
self.pupil_phase_aberration = self.param('pupil_phase_aberration', nn.initializers.zeros,
self.dim_yx_incl_padding)[jnp.newaxis, :, :]
self.pupil_amp_aberration = self.param('pupil_amp_aberration', nn.initializers.ones,
self.dim_yx_incl_padding)[jnp.newaxis, :, :]
self.aberrated_pupil = jnp.exp(1.0j * self.pupil_phase_aberration) * self.pupil_amp_aberration * self.pupil
elif self.pupil_aber_type == 2:
self.pupil_phase_aberration = self.param('pupil_phase_aberration', nn.initializers.zeros,
self.dim_yx_incl_padding)[jnp.newaxis, :, :]
self.aberrated_pupil = jnp.exp(1.0j * self.pupil_phase_aberration) * self.pupil
elif self.pupil_aber_type == 3:
zern_indices = np.array([0, ]) + np.arange(3, 21)
self.zern_poly = jnp.array([zernikePolynomial(i, self.dim_yx_incl_padding, self.optical_param.pixel_size,
self.optical_param.na, self.optical_param.wavelength)
for i in zern_indices])
self.zern_coef = self.param('zern_coef', nn.initializers.zeros, (len(zern_indices), 1, 1))
self.aberrated_pupil = jnp.exp(1.0j * jnp.sum(self.zern_poly * self.zern_coef, axis=0))[jnp.newaxis, :,
:] * self.pupil
else:
self.aberrated_pupil = self.pupil
def __call__(self, U_speckle, phase_obj, absorption_obj):
phase_obj = jnp.pad(phase_obj, [(0, 0), (self.optical_param.padding_yx[0], self.optical_param.padding_yx[0]),
(self.optical_param.padding_yx[1], self.optical_param.padding_yx[1])],
constant_values=0.0)
absorption_obj = jnp.pad(absorption_obj,
[(0, 0), (self.optical_param.padding_yx[0], self.optical_param.padding_yx[0]),
(self.optical_param.padding_yx[1], self.optical_param.padding_yx[1])],
constant_values=0.0)
o = U_speckle[jnp.newaxis, :, :] * jnp.exp(1.0j * phase_obj - absorption_obj)
U_out = jnp.fft.ifft2(jnp.fft.fft2(o, axes=(1, 2)) * self.aberrated_pupil, axes=(1, 2))[:,
self.optical_param.padding_yx[0]: self.optical_param.dim_yx[0] + self.optical_param.padding_yx[0],
self.optical_param.padding_yx[1]: self.optical_param.dim_yx[1] + self.optical_param.padding_yx[1]]
I_out = jnp.abs(U_out)
return I_out
class SpeckleSIMCoherentNoPadding(cc.forward.Model):
optical_param: utils.SystemParameters
zern_poly_max_index: int = 21
def setup(self):
self.shape_incl_padding = (self.optical_param.dim_yx[0] + self.optical_param.padding_yx[0] * 2,
self.optical_param.dim_yx[1] + self.optical_param.padding_yx[1] * 2)
self.pupil = genPupil(self.shape_incl_padding,
self.optical_param.pixel_size, self.optical_param.na,
self.optical_param.wavelength).astype(jnp.complex64)[jnp.newaxis, :, :]
zern_indices = np.array([0, ]) + np.arange(3, self.zern_poly_max_index)
self.zern_poly = jnp.array([zernikePolynomial(i, self.shape_incl_padding, self.optical_param.pixel_size,
self.optical_param.na, self.optical_param.wavelength)
for i in zern_indices])
self.zern_coef = self.param('zern_coef', nn.initializers.zeros, (len(zern_indices), 1, 1))
self.pupil_aberration = jnp.sum(self.zern_poly * self.zern_coef, axis=0) * self.pupil
def __call__(self, U_speckle, phase_obj, absorption_obj):
o = U_speckle[jnp.newaxis, :, :] * jnp.exp(1.0j * phase_obj - absorption_obj)
U_out = jnp.fft.ifft2(jnp.fft.fft2(o, axes=(1, 2)) * self.pupil * jnp.exp(1.0j * self.pupil_aberration),
axes=(1, 2))[:,
self.optical_param.padding_yx[0]: self.optical_param.dim_yx[0] + self.optical_param.padding_yx[0],
self.optical_param.padding_yx[1]: self.optical_param.dim_yx[1] + self.optical_param.padding_yx[1]]
I_out = jnp.abs(U_out)
return I_out
class SpeckleFlowSIMCoherent(cc.forward.Model):
optical_param: utils.SystemParameters
speckle_flow_SIM_param: SpeckleFlowSIMParameters
def setup(self):
self.spacetime = spacetime.SpaceTimeMLP(self.optical_param,
self.speckle_flow_SIM_param.space_time_param,
self.speckle_flow_SIM_param.motion_mlp_param,
self.speckle_flow_SIM_param.mlp_param,
num_output_channels=2)
if self.speckle_flow_SIM_param.space_time_param.include_padding:
self.forward = SpeckleSIMCoherentNoPadding(self.optical_param)
else:
self.forward = SpeckleSIMCoherent(self.optical_param)
speckle_dim_yx = (self.optical_param.dim_yx[0] + self.optical_param.padding_yx[0] * 2,
self.optical_param.dim_yx[1] + self.optical_param.padding_yx[1] * 2)
self.U_speckle = self.param('speckle_amp', nn.initializers.ones, speckle_dim_yx) * jnp.exp(
1.0j * self.param('speckle_phase', nn.initializers.zeros, speckle_dim_yx))
def __call__(self, input_dict):
obj = self.spacetime(input_dict['t'], input_dict['step'])
phase_obj = obj[..., 0]
absorption_obj = nn.relu(obj[..., 1]) # non-negative
I = self.forward(self.U_speckle, phase_obj, absorption_obj)
return I, obj
class SpeckleFlowSIMCoherentAbsorrptionObj(cc.forward.Model):
optical_param: utils.SystemParameters
speckle_flow_SIM_param: SpeckleFlowSIMParameters
def setup(self):
self.spacetime = spacetime.SpaceTimeMLP(self.optical_param,
self.speckle_flow_SIM_param.space_time_param,
self.speckle_flow_SIM_param.motion_mlp_param,
self.speckle_flow_SIM_param.mlp_param,
num_output_channels=2)
if self.speckle_flow_SIM_param.space_time_param.include_padding:
self.forward = SpeckleSIMCoherentNoPadding(self.optical_param)
else:
self.forward = SpeckleSIMCoherent(self.optical_param, 1)
speckle_dim_yx = (self.optical_param.dim_yx[0] + self.optical_param.padding_yx[0] * 2,
self.optical_param.dim_yx[1] + self.optical_param.padding_yx[1] * 2)
self.U_speckle = self.param('speckle_amp', nn.initializers.ones, speckle_dim_yx) * jnp.exp(
1.0j * self.param('speckle_phase', nn.initializers.zeros, speckle_dim_yx))
def __call__(self, input_dict):
obj = self.spacetime(input_dict['t'], input_dict['step'])
absorption_obj = obj[..., 1]
obj = jnp.stack((jnp.zeros_like(absorption_obj), absorption_obj), axis=-1)
I = self.forward(self.U_speckle, jnp.zeros_like(absorption_obj), absorption_obj)
return I, obj
def loss_fn(variables, input_dict, forward_fn, reg_highfreq=0.0, pupil=None):
I, obj = forward_fn(variables, input_dict)
loss_l2 = ((input_dict['img'] - I) ** 2).mean()
loss_highfreq = 0.
if reg_highfreq > 0 and pupil is not None:
loss_highfreq = reg_highfreq * jnp.abs(jnp.fft.fftn(jnp.exp(1.0j * obj[..., 0] - obj[..., 1]), axes=(-2, -1)) *
(1 - pupil)[jnp.newaxis, :, :]).mean()
loss = loss_l2 + loss_highfreq
aux = {'loss_total': loss, 'loss_l2': loss_l2, 'loss_highfreq': loss_highfreq}
return loss, aux