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Commit 751f74fd authored by Martin Genet's avatar Martin Genet
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Complete imaging models

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downsample_images.py
+ 1
− 0
View file @ 751f74fd
......@@ -11,6 +11,7 @@
from builtins import *
import dolfin
import glob
import math
import numpy
import os
......
generate_images_Image.py
+ 69
− 37
View file @ 751f74fd
......@@ -232,16 +232,6 @@ class Image():
G[1] *= 0.
G[2] *= math.copysign(1, math.sin(math.pi*X[2]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[2]/self.s)
def I0_texture_tagging_XY_wDifferentiableCombination(self, X, I):
I[0] *= (1 + 3 * abs(math.sin(math.pi*X[0]/self.s))
* abs(math.sin(math.pi*X[1]/self.s)))**(1./2) - 1
def I0_texture_tagging_XY_wDifferentiableCombination_wGrad(self, X, I, G):
self.I0_texture_tagging_XY_wDifferentiableCombination(X, I)
G[0] *= 3 * math.copysign(1, math.sin(math.pi*X[0]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[0]/self.s) * abs(math.sin(math.pi*X[1]/self.s)) / 2 / (I[0] + 1)
G[1] *= 3 * math.copysign(1, math.sin(math.pi*X[1]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[1]/self.s) * abs(math.sin(math.pi*X[0]/self.s)) / 2 / (I[0] + 1)
G[2] *= 0.
def I0_texture_tagging_XY_wAdditiveCombination(self, X, I):
I[0] *= (abs(math.sin(math.pi*X[0]/self.s))
+ abs(math.sin(math.pi*X[1]/self.s)))/2
......@@ -262,16 +252,26 @@ class Image():
G[1] *= math.copysign(1, math.sin(math.pi*X[1]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[1]/self.s) * abs(math.sin(math.pi*X[0]/self.s)) / 2 / I[0]
G[2] *= 0.
def I0_texture_tagging_XYZ_wDifferentiableCombination(self, X, I):
I[0] *= (1 + 7 * abs(math.sin(math.pi*X[0]/self.s))
* abs(math.sin(math.pi*X[1]/self.s))
* abs(math.sin(math.pi*X[2]/self.s)))**(1./3) - 1
def I0_texture_tagging_XY_wDifferentiableCombination(self, X, I):
I[0] *= (1 + 3 * abs(math.sin(math.pi*X[0]/self.s))
* abs(math.sin(math.pi*X[1]/self.s)))**(1./2) - 1
def I0_texture_tagging_XYZ_wDifferentiableCombination_wGrad(self, X, I, G):
self.I0_texture_tagging_XYZ_wDifferentiableCombination(X, I)
G[0] *= 7 * math.copysign(1, math.sin(math.pi*X[0]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[0]/self.s) * abs(math.sin(math.pi*X[1]/self.s)) * abs(math.sin(math.pi*X[2]/self.s)) / 3 / (I[0] + 1)
G[1] *= 7 * math.copysign(1, math.sin(math.pi*X[1]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[1]/self.s) * abs(math.sin(math.pi*X[0]/self.s)) * abs(math.sin(math.pi*X[2]/self.s)) / 3 / (I[0] + 1)
G[2] *= 7 * math.copysign(1, math.sin(math.pi*X[2]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[2]/self.s) * abs(math.sin(math.pi*X[0]/self.s)) * abs(math.sin(math.pi*X[1]/self.s)) / 3 / (I[0] + 1)
def I0_texture_tagging_XY_wDifferentiableCombination_wGrad(self, X, I, G):
self.I0_texture_tagging_XY_wDifferentiableCombination(X, I)
G[0] *= 3 * math.copysign(1, math.sin(math.pi*X[0]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[0]/self.s) * abs(math.sin(math.pi*X[1]/self.s)) / 2 / (I[0] + 1)
G[1] *= 3 * math.copysign(1, math.sin(math.pi*X[1]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[1]/self.s) * abs(math.sin(math.pi*X[0]/self.s)) / 2 / (I[0] + 1)
G[2] *= 0.
def I0_texture_tagging_XYZ_wAdditiveCombination(self, X, I):
I[0] *= (abs(math.sin(math.pi*X[0]/self.s))
+ abs(math.sin(math.pi*X[1]/self.s))
+ abs(math.sin(math.pi*X[2]/self.s)))/3
def I0_texture_tagging_XYZ_wAdditiveCombination_wGrad(self, X, I, G):
self.I0_texture_tagging_XYZ_wAdditiveCombination(X, I)
G[0] *= math.copysign(1, math.sin(math.pi*X[0]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[0]/self.s) / 3
G[1] *= math.copysign(1, math.sin(math.pi*X[1]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[1]/self.s) / 3
G[2] *= math.copysign(1, math.sin(math.pi*X[2]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[2]/self.s) / 3
def I0_texture_tagging_XYZ_wMultiplicativeCombination(self, X, I):
I[0] *= (abs(math.sin(math.pi*X[0]/self.s))
......@@ -284,6 +284,17 @@ class Image():
G[1] *= math.copysign(1, math.sin(math.pi*X[1]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[1]/self.s) * abs(math.sin(math.pi*X[0]/self.s)) * abs(math.sin(math.pi*X[2]/self.s)) / 3 / I[0]**2
G[2] *= math.copysign(1, math.sin(math.pi*X[2]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[2]/self.s) * abs(math.sin(math.pi*X[0]/self.s)) * abs(math.sin(math.pi*X[1]/self.s)) / 3 / I[0]**2
def I0_texture_tagging_XYZ_wDifferentiableCombination(self, X, I):
I[0] *= (1 + 7 * abs(math.sin(math.pi*X[0]/self.s))
* abs(math.sin(math.pi*X[1]/self.s))
* abs(math.sin(math.pi*X[2]/self.s)))**(1./3) - 1
def I0_texture_tagging_XYZ_wDifferentiableCombination_wGrad(self, X, I, G):
self.I0_texture_tagging_XYZ_wDifferentiableCombination(X, I)
G[0] *= 7 * math.copysign(1, math.sin(math.pi*X[0]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[0]/self.s) * abs(math.sin(math.pi*X[1]/self.s)) * abs(math.sin(math.pi*X[2]/self.s)) / 3 / (I[0] + 1)
G[1] *= 7 * math.copysign(1, math.sin(math.pi*X[1]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[1]/self.s) * abs(math.sin(math.pi*X[0]/self.s)) * abs(math.sin(math.pi*X[2]/self.s)) / 3 / (I[0] + 1)
G[2] *= 7 * math.copysign(1, math.sin(math.pi*X[2]/self.s)) * (math.pi/self.s) * math.cos(math.pi*X[2]/self.s) * abs(math.sin(math.pi*X[0]/self.s)) * abs(math.sin(math.pi*X[1]/self.s)) / 3 / (I[0] + 1)
def I0_texture_tagging_signed_X(self, X, I):
I[0] *= (1+math.sin(math.pi*X[0]/self.s-math.pi/2))/2
......@@ -311,6 +322,26 @@ class Image():
G[1] *= 0.
G[2] *= (math.pi/self.s) * math.cos(math.pi*X[2]/self.s-math.pi/2) / 2
def I0_texture_tagging_signed_XY_wAdditiveCombination(self, X, I):
I[0] *= ((1+math.sin(math.pi*X[0]/self.s-math.pi/2))/2
+ (1+math.sin(math.pi*X[1]/self.s-math.pi/2))/2) / 2
def I0_texture_tagging_signed_XY_wAdditiveCombination_wGrad(self, X, I, G):
self.I0_texture_tagging_signed_XY_wAdditiveCombination(X, I)
G[0] *= (math.pi/self.s) * math.cos(math.pi*X[0]/self.s-math.pi/2)/2 / 2
G[1] *= (math.pi/self.s) * math.cos(math.pi*X[1]/self.s-math.pi/2)/2 / 2
G[2] *= 0.
def I0_texture_tagging_signed_XY_wMultiplicativeCombination(self, X, I):
I[0] *= ((1+math.sin(math.pi*X[0]/self.s-math.pi/2))/2
* (1+math.sin(math.pi*X[1]/self.s-math.pi/2))/2)**(1./2)
def I0_texture_tagging_signed_XY_wMultiplicativeCombination_wGrad(self, X, I, G):
self.I0_texture_tagging_XY_wMultiplicativeCombination(X, I)
G[0] *= (math.pi/self.s) * math.cos(math.pi*X[0]/self.s-math.pi/2)/2 / 2 / I[0]
G[1] *= (math.pi/self.s) * math.cos(math.pi*X[1]/self.s-math.pi/2)/2 / 2 / I[0]
G[2] *= 0.
def I0_texture_tagging_signed_XY_wDifferentiableCombination(self, X, I):
I[0] *= (1 + 3 * (1+math.sin(math.pi*X[0]/self.s-math.pi/2))/2
* (1+math.sin(math.pi*X[1]/self.s-math.pi/2))/2)**(1./2) - 1
......@@ -321,15 +352,27 @@ class Image():
G[1] *= 3 * (math.pi/self.s) * math.cos(math.pi*X[1]/self.s-math.pi/2)/2 * (1+math.sin(math.pi*X[0]/self.s-math.pi/2))/2 / 2 / (I[0] + 1)
G[2] *= 0.
def I0_texture_tagging_signed_XY_wAdditiveCombination(self, X, I):
def I0_texture_tagging_signed_XYZ_wAdditiveCombination(self, X, I):
I[0] *= ((1+math.sin(math.pi*X[0]/self.s-math.pi/2))/2
+ (1+math.sin(math.pi*X[1]/self.s-math.pi/2))/2) / 2
+ (1+math.sin(math.pi*X[1]/self.s-math.pi/2))/2
+ (1+math.sin(math.pi*X[2]/self.s-math.pi/2))/2) / 3
def I0_texture_tagging_signed_XY_wAdditiveCombination_wGrad(self, X, I, G):
self.I0_texture_tagging_signed_XY_wAdditiveCombination(X, I)
G[0] *= (math.pi/self.s) * math.cos(math.pi*X[0]/self.s-math.pi/2)/2 / 2
G[1] *= (math.pi/self.s) * math.cos(math.pi*X[1]/self.s-math.pi/2)/2 / 2
G[2] *= 0.
def I0_texture_tagging_signed_XYZ_wAdditiveCombination_wGrad(self, X, I, G):
self.I0_texture_tagging_signed_XYZ_wAdditiveCombination(X, I)
G[0] *= (math.pi/self.s) * math.cos(math.pi*X[0]/self.s-math.pi/2)/2 / 3
G[1] *= (math.pi/self.s) * math.cos(math.pi*X[1]/self.s-math.pi/2)/2 / 3
G[2] *= (math.pi/self.s) * math.cos(math.pi*X[2]/self.s-math.pi/2)/2 / 3
def I0_texture_tagging_signed_XYZ_wMultiplicativeCombination(self, X, I):
I[0] *= ((1+math.sin(math.pi*X[0]/self.s-math.pi/2))/2
* (1+math.sin(math.pi*X[1]/self.s-math.pi/2))/2
* (1+math.sin(math.pi*X[2]/self.s-math.pi/2))/2)**(1./3)
def I0_texture_tagging_signed_XYZ_wMultiplicativeCombination_wGrad(self, X, I, G):
self.I0_texture_tagging_XYZ_wMultiplicativeCombination(X, I)
G[0] *= (math.pi/self.s) * math.cos(math.pi*X[0]/self.s-math.pi/2)/2 / 3 / I[0]
G[1] *= (math.pi/self.s) * math.cos(math.pi*X[1]/self.s-math.pi/2)/2 / 3 / I[0]
G[2] *= (math.pi/self.s) * math.cos(math.pi*X[2]/self.s-math.pi/2)/2 / 3 / I[0]
def I0_texture_tagging_signed_XYZ_wDifferentiableCombination(self, X, I):
I[0] *= (1 + 7 * (1+math.sin(math.pi*X[0]/self.s-math.pi/2))/2
......@@ -342,17 +385,6 @@ class Image():
G[1] *= 7 * (math.pi/self.s) * math.cos(math.pi*X[1]/self.s-math.pi/2)/2 * (1+math.sin(math.pi*X[0]/self.s-math.pi/2))/2 * (1+math.sin(math.pi*X[2]/self.s-math.pi/2))/2 / 3 / (I[0] + 1)
G[2] *= 7 * (math.pi/self.s) * math.cos(math.pi*X[2]/self.s-math.pi/2)/2 * (1+math.sin(math.pi*X[0]/self.s-math.pi/2))/2 * (1+math.sin(math.pi*X[1]/self.s-math.pi/2))/2 / 3 / (I[0] + 1)
def I0_texture_tagging_signed_XYZ_wAdditiveCombination(self, X, I):
I[0] *= ((1+math.sin(math.pi*X[0]/self.s-math.pi/2))/2
+ (1+math.sin(math.pi*X[1]/self.s-math.pi/2))/2
+ (1+math.sin(math.pi*X[2]/self.s-math.pi/2))/2) / 3
def I0_texture_tagging_signed_XYZ_wAdditiveCombination_wGrad(self, X, I, G):
self.I0_texture_tagging_signed_XYZ_wAdditiveCombination(X, I)
G[0] *= (math.pi/self.s) * math.cos(math.pi*X[0]/self.s-math.pi/2)/2 / 3
G[1] *= (math.pi/self.s) * math.cos(math.pi*X[1]/self.s-math.pi/2)/2 / 3
G[2] *= (math.pi/self.s) * math.cos(math.pi*X[2]/self.s-math.pi/2)/2 / 3
def I0_noise_no(self, I):
pass
......
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