Commit 5e6580b6 authored by Nathaniel Callens's avatar Nathaniel Callens
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%% Cell type:code id:dbef8759 tags:
%% Cell type:code id:dbef8759 tags:


``` python
``` python
import numpy as np
import numpy as np
from matplotlib import pyplot as plt
from matplotlib import pyplot as plt
from itertools import product
from itertools import product
import os
import os
import sys
import sys
from PIL import Image
from PIL import Image
from scipy.optimize import minimize
from scipy.optimize import minimize
from time import time
from time import time
```
```


%% Cell type:code id:b7a550e0 tags:
%% Cell type:code id:b7a550e0 tags:


``` python
``` python
def file_extractor(dirname="images"):
def file_extractor(dirname="images"):
    files = os.listdir(dirname)
    files = os.listdir(dirname)
    scenes = []
    scenes = []
    for file in files:
    for file in files:
        scenes.append(os.path.join(dirname, file))
        scenes.append(os.path.join(dirname, file))
    return scenes
    return scenes


def image_extractor(scenes):
def image_extractor(scenes):
    image_folder = []
    image_folder = []
    for scene in scenes:
    for scene in scenes:
        files = os.listdir(scene)
        files = os.listdir(scene)
        for file in files:
        for file in files:
            image_folder.append(os.path.join(scene, file))
            image_folder.append(os.path.join(scene, file))
    images = []
    images = []
    for folder in image_folder:
    for folder in image_folder:
        ims = os.listdir(folder)
        ims = os.listdir(folder)
        for im in ims:
        for im in ims:
            if im[-4:] == ".jp4" or im[-7:] == "_6.tiff":
            if im[-4:] == ".jp4" or im[-7:] == "_6.tiff":
                continue
                continue
            else:
            else:
                images.append(os.path.join(folder, im))
                images.append(os.path.join(folder, im))
    return images #returns a list of file paths to .tiff files in the specified directory given in file_extractor
    return images #returns a list of file paths to .tiff files in the specified directory given in file_extractor


def im_distribution(images, num):
def im_distribution(images, num):
    """
    """
    Function that extracts tiff files from specific cameras and returns a list of all
    Function that extracts tiff files from specific cameras and returns a list of all
    the tiff files corresponding to that camera. i.e. all pictures labeled "_7.tiff" or otherwise
    the tiff files corresponding to that camera. i.e. all pictures labeled "_7.tiff" or otherwise
    specified camera numbers.
    specified camera numbers.


    Parameters:
    Parameters:
        images (list): list of all tiff files, regardless of classification. This is NOT a list of directories but
        images (list): list of all tiff files, regardless of classification. This is NOT a list of directories but
        of specific tiff files that can be opened right away. This is the list that we iterate through and
        of specific tiff files that can be opened right away. This is the list that we iterate through and
        divide.
        divide.


        num (str): a string designation for the camera number that we want to extract i.e. "14" for double digits
        num (str): a string designation for the camera number that we want to extract i.e. "14" for double digits
        of "_1" for single digits.
        of "_1" for single digits.


    Returns:
    Returns:
        tiff (list): A list of tiff files that have the specified designation from num. They are the files extracted
        tiff (list): A list of tiff files that have the specified designation from num. They are the files extracted
        from the 'images' list that correspond to the given num.
        from the 'images' list that correspond to the given num.
    """
    """
    tiff = []
    tiff = []
    for im in images:
    for im in images:
        if im[-7:-5] == num:
        if im[-7:-5] == num:
            tiff.append(im)
            tiff.append(im)
    return tiff
    return tiff
```
```


%% Cell type:code id:9ed20f84 tags:
%% Cell type:code id:9ed20f84 tags:


``` python
``` python
def plot_hist(tiff_list, i):
def plot_hist(tiff_list, i):
    """
    """
    This function is the leftovers from the first attempt to plot histograms.
    This function is the leftovers from the first attempt to plot histograms.
    As it stands it needs some work in order to function again. We will
    As it stands it needs some work in order to function again. We will
    fix this later. 1/25/22
    fix this later. 1/25/22
    """
    """




    image = tiff_list[i]
    image = tiff_list[i]
    image = Image.open(image)    #Open the image and read it as an Image object
    image = Image.open(image)    #Open the image and read it as an Image object
    image = np.array(image)[1:,:]    #Convert to an array, leaving out the first row because the first row is just housekeeping data
    image = np.array(image)[1:,:]    #Convert to an array, leaving out the first row because the first row is just housekeeping data
    image = image.astype(int)
    image = image.astype(int)
    row, col = image.shape
    row, col = image.shape
    predict = np.empty([row,col])     # create a empty matrix to update prediction
    predict = np.empty([row,col])     # create a empty matrix to update prediction
    predict[0,:] = np.copy(image[0,:])       # keep the first row from the image
    predict[0,:] = np.copy(image[0,:])       # keep the first row from the image
    predict[:,0] = np.copy(image[:,0])      # keep the first columen from the image
    predict[:,0] = np.copy(image[:,0])      # keep the first columen from the image
    predict[-1,:] = np.copy(image[-1,:])       # keep the first row from the image
    predict[-1,:] = np.copy(image[-1,:])       # keep the first row from the image
    predict[:,-1] = np.copy(image[:,-1])      # keep the first columen from the image
    predict[:,-1] = np.copy(image[:,-1])      # keep the first columen from the image
    diff = np.empty([row,col])
    diff = np.empty([row,col])
    diff[0,:] = np.zeros(col)       # keep the first row from the image
    diff[0,:] = np.zeros(col)       # keep the first row from the image
    diff[:,0] = np.zeros(row)
    diff[:,0] = np.zeros(row)
    diff[-1,:] = np.zeros(col)       # keep the first row from the image
    diff[-1,:] = np.zeros(col)       # keep the first row from the image
    diff[:,-1] = np.zeros(row)
    diff[:,-1] = np.zeros(row)
    A = np.array([[3,0,-1],[0,3,3],[1,-3,-4]])
    A = np.array([[3,0,-1],[0,3,3],[1,-3,-4]])
    '''z0 = image[0:-2,0:-2]
    '''z0 = image[0:-2,0:-2]
    z1 = image[0:-2,1:-1]
    z1 = image[0:-2,1:-1]
    z2 = image[0:-2,2::]
    z2 = image[0:-2,2::]
    z3 = image[1:-1,0:-2]
    z3 = image[1:-1,0:-2]
    y0 = -z0+z2-z3
    y0 = -z0+z2-z3
    y1 = z0+z1+z2
    y1 = z0+z1+z2
    y2 = -z0-z1-z2-z3
    y2 = -z0-z1-z2-z3
    predict = [np.linalg.solve(A,np.array([y0[r,c],y1[r,c],y2[r,c]]))[-1] for r in range(0,row-2) for c in range(0,col-2)]
    predict = [np.linalg.solve(A,np.array([y0[r,c],y1[r,c],y2[r,c]]))[-1] for r in range(0,row-2) for c in range(0,col-2)]
    diff = [(np.max([z0[r,c],z1[r,c],z2[r,c],z3[r,c]])-np.min([z0[r,c],z1[r,c],z2[r,c],z3[r,c]])) for r in range(0,row-2) for c in range(0,col-2)]
    diff = [(np.max([z0[r,c],z1[r,c],z2[r,c],z3[r,c]])-np.min([z0[r,c],z1[r,c],z2[r,c],z3[r,c]])) for r in range(0,row-2) for c in range(0,col-2)]
    '''
    '''
    for r in range(1,row-1):                  # loop through the rth row
    for r in range(1,row-1):                  # loop through the rth row
        for c in range(1,col-1):              # loop through the cth column
        for c in range(1,col-1):              # loop through the cth column
            actual_surrounding = np.array([image[r-1,c-1], image[r-1,c], image[r-1,c+1], image[r,c-1]])
            actual_surrounding = np.array([image[r-1,c-1], image[r-1,c], image[r-1,c+1], image[r,c-1]])
            #z = np.array([int(image[r-1,c-1]), int(image[r-1,c]), int(image[r-1,c+1]), int(image[r,c-1])])
            #z = np.array([int(image[r-1,c-1]), int(image[r-1,c]), int(image[r-1,c+1]), int(image[r,c-1])])
            z = np.array([image[r-1,c-1], image[r-1,c], image[r-1,c+1], image[r,c-1]])
            z = np.array([image[r-1,c-1], image[r-1,c], image[r-1,c+1], image[r,c-1]])
            y = np.array([-z[0]+z[2]-z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
            y = np.array([-z[0]+z[2]-z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
            predict[r,c] = np.linalg.solve(A,y)[-1]
            predict[r,c] = np.linalg.solve(A,y)[-1]
            diff[r,c] = (np.max(actual_surrounding)-np.min(actual_surrounding))
            diff[r,c] = (np.max(actual_surrounding)-np.min(actual_surrounding))
    predict = np.ravel(predict[1:-1,1:-1])
    predict = np.ravel(predict[1:-1,1:-1])
    diff = np.ravel(diff[1:-1,1:-1])
    diff = np.ravel(diff[1:-1,1:-1])
    image = np.ravel(image[1:-1,1:-1])
    image = np.ravel(image[1:-1,1:-1])
    return image, predict, diff
    return image, predict, diff
```
```


%% Cell type:code id:8e3ef654 tags:
%% Cell type:code id:8e3ef654 tags:


``` python
``` python
scenes = file_extractor()
scenes = file_extractor()
images = image_extractor(scenes)
images = image_extractor(scenes)
num_images = im_distribution(images, "_9")
num_images = im_distribution(images, "_9")
error_mean = []
error_mean = []
error_mean1 = []
error_mean1 = []
diff_mean = []
diff_mean = []
times = []
times = []
times1 = []
times1 = []
all_error = []
all_error = []
for i in range(len(num_images)):
for i in range(len(num_images)):
    """start1 = time()
    """start1 = time()
    image_1, predict_1, difference_1, x_s_1 = plot_hist(num_images, i, "second")
    image_1, predict_1, difference_1, x_s_1 = plot_hist(num_images, i, "second")
    stop1 = time()
    stop1 = time()
    times1.append(stop1-start1)
    times1.append(stop1-start1)
    error1 = np.abs(image_1-predict_1)
    error1 = np.abs(image_1-predict_1)
    error_mean1.append(np.mean(np.ravel(error1)))"""
    error_mean1.append(np.mean(np.ravel(error1)))"""
    start = time()
    start = time()
    image, predict, difference = plot_hist(num_images, i)
    image, predict, difference = plot_hist(num_images, i)
    stop = time()
    stop = time()
    times.append(stop-start)
    times.append(stop-start)
    error = np.abs(image-predict)
    error = np.abs(image-predict)
    all_error.append(np.ravel(error))
    all_error.append(np.ravel(error))
    error_mean.append(np.mean(np.ravel(error)))
    error_mean.append(np.mean(np.ravel(error)))
    diff_mean.append(np.mean(np.ravel(difference)))
    diff_mean.append(np.mean(np.ravel(difference)))
```
```


%% Cell type:code id:a51dcb6f tags:
%% Cell type:code id:fa65dcd6 tags:


``` python
``` python
print(f"Average Error First and Second Added: {np.mean(error_mean)}")
print(f"Average Error First and Second Added: {np.mean(error_mean)}")


print(f"Standard Deviaiton of Mean Errors: {np.sqrt(np.var(error_mean))}")
print(f"Standard Deviaiton of Mean Errors: {np.sqrt(np.var(error_mean))}")
print(f"Average Difference: {np.mean(diff_mean)}")
print(f"Average Difference: {np.mean(diff_mean)}")
print(f"Average Time per Image for First: {np.mean(times)}")
print(f"Average Time per Image for First: {np.mean(times)}")
```
```


%% Output
%% Output


    Average Error First and Second Added: 20.017164930235467
    Average Error First and Second Added: 20.017164930235467
    Standard Deviaiton of Mean Errors: 0.16101183692474846
    Standard Deviaiton of Mean Errors: 0.16101183692474846
    Average Difference: 53.678648426455226
    Average Difference: 53.678648426455226
    Average Time per Image for First: 9.85209345817566
    Average Time per Image for First: 9.85209345817566


%% Cell type:code id:dda442ae tags:
%% Cell type:code id:dda442ae tags:


``` python
``` python
fig = plt.figure(figsize = (10,10))
fig = plt.figure(figsize = (10,10))
ax = fig.add_subplot()
ax = fig.add_subplot()
x = np.abs(predict-image)
x = np.abs(predict-image)
y = diff
y = diff
plt.plot(x,y,'o',alpha = 0.2)
plt.plot(x,y,'o',alpha = 0.2)
plt.rcParams.update({'font.size': 20})
plt.rcParams.update({'font.size': 20})
plt.xlabel("differnece to the true value" )
plt.xlabel("differnece to the true value" )
plt.ylabel("differnece of min and max of true value of the surroundings")
plt.ylabel("differnece of min and max of true value of the surroundings")
plt.show()
plt.show()
```
```


%% Output
%% Output




%% Cell type:code id:58da6063 tags:
%% Cell type:code id:58da6063 tags:


``` python
``` python
image = Image.open(images[0])    #Open the image and read it as an Image object
image = Image.open(images[0])    #Open the image and read it as an Image object
image = np.array(image)[1:,:]
image = np.array(image)[1:,:]
#z = np.array([image[1-1,1-1], image[1-1,1], image[1-1,1+1], image[1,1-1]])
#z = np.array([image[1-1,1-1], image[1-1,1], image[1-1,1+1], image[1,1-1]])
z = np.array([22554,22552,22519,22561])
z = np.array([22554,22552,22519,22561])
print(z)
print(z)
'''A = np.array([[-3,0,1],[0,-3,3],[-1,-3,4]])
'''A = np.array([[-3,0,1],[0,-3,3],[-1,-3,4]])
y = np.array([z[0]-z[2]+z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
y = np.array([z[0]-z[2]+z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
a,b,c = np.linalg.solve(A,y)'''
a,b,c = np.linalg.solve(A,y)'''
A = np.array([[3,0,-1],[0,3,3],[1,-3,-4]])
A = np.array([[3,0,-1],[0,3,3],[1,-3,-4]])
y = np.array([-z[0]+z[2]-z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
y = np.array([-z[0]+z[2]-z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
print(y)
print(y)
a,b,c = np.linalg.solve(A,y)
a,b,c = np.linalg.solve(A,y)
print(a,b,c)
print(a,b,c)
```
```


%% Output
%% Output


    [22554 22552 22519 22561]
    [22554 22552 22519 22561]
    [-22596  67625 -90186]
    [-22596  67625 -90186]
    -17.49999999999879 -1.8333333333369712 22543.500000000004
    -17.49999999999879 -1.8333333333369712 22543.500000000004


%% Cell type:code id:2562feeb tags:
%% Cell type:code id:2562feeb tags:


``` python
``` python
i0 = (a*(-1) + b*(1) + c)
i0 = (a*(-1) + b*(1) + c)
i1 = (a*(0) + b*(1) + c)
i1 = (a*(0) + b*(1) + c)
i2 = (a*(1) + b*(1) + c)
i2 = (a*(1) + b*(1) + c)
i3 = (a*(-1) + b*(0) + c)
i3 = (a*(-1) + b*(0) + c)
print(sum([(i0-z[0])**2,(i1-z[1])**2,(i2-z[2])**2,(i3-z[3])**2]))
print(sum([(i0-z[0])**2,(i1-z[1])**2,(i2-z[2])**2,(i3-z[3])**2]))
```
```


%% Output
%% Output


    160.16666666662906
    160.16666666662906


%% Cell type:code id:470cc137 tags:
%% Cell type:code id:470cc137 tags:


``` python
``` python
a = 0
a = 0
b = 2
b = 2
c = 2
c = 2
i0 = (a*(-1) + b*(1) + c)
i0 = (a*(-1) + b*(1) + c)
i1 = (a*(0) + b*(1) + c)
i1 = (a*(0) + b*(1) + c)
i2 = (a*(1) + b*(1) + c)
i2 = (a*(1) + b*(1) + c)
i3 = (a*(-1) + b*(0) + c)
i3 = (a*(-1) + b*(0) + c)
print(sum([(i0-z[0])**2,(i1-z[1])**2,(i2-z[2])**2,(i3-z[3])**2]))
print(sum([(i0-z[0])**2,(i1-z[1])**2,(i2-z[2])**2,(i3-z[3])**2]))
```
```


%% Output
%% Output


    2032748510
    2032748510


%% Cell type:code id:3292b395 tags:
%% Cell type:code id:3292b395 tags:


``` python
``` python
z = np.hstack((image[0,:3], image[1,0]))
z = np.hstack((image[0,:3], image[1,0]))
x = np.array([-1,0,1,-1])
x = np.array([-1,0,1,-1])
y = np.array([-1,-1,-1,0])
y = np.array([-1,-1,-1,0])
A = np.array([[-3,0,1],[0,-3,3],[1,3,-4]])
A = np.array([[-3,0,1],[0,-3,3],[1,3,-4]])
y = np.array([z[0]-z[2]+z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
y = np.array([z[0]-z[2]+z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
print(np.linalg.solve(A,y)[-1])
print(np.linalg.solve(A,y)[-1])
```
```


%% Output
%% Output


    -75749.00000000001
    -75749.00000000001


    C:\Users\calle\AppData\Local\Temp/ipykernel_15648/1729129504.py:5: RuntimeWarning: overflow encountered in ushort_scalars
    C:\Users\calle\AppData\Local\Temp/ipykernel_15648/1729129504.py:5: RuntimeWarning: overflow encountered in ushort_scalars
      y = np.array([z[0]-z[2]+z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
      y = np.array([z[0]-z[2]+z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])


%% Cell type:code id:f9687830 tags:
%% Cell type:code id:f9687830 tags:


``` python
``` python
0.5**2 + 1.5**2
0.5**2 + 1.5**2
```
```


%% Cell type:code id:e98eed4b tags:
%% Cell type:code id:e98eed4b tags:


``` python
``` python
```
```
+1 −1
Original line number Original line Diff line number Diff line
%% Cell type:code id:dbef8759 tags:
%% Cell type:code id:dbef8759 tags:


``` python
``` python
import numpy as np
import numpy as np
from matplotlib import pyplot as plt
from matplotlib import pyplot as plt
from itertools import product
from itertools import product
import os
import os
import sys
import sys
from PIL import Image
from PIL import Image
from scipy.optimize import minimize
from scipy.optimize import minimize
from time import time
from time import time
```
```


%% Cell type:code id:b7a550e0 tags:
%% Cell type:code id:b7a550e0 tags:


``` python
``` python
def file_extractor(dirname="images"):
def file_extractor(dirname="images"):
    files = os.listdir(dirname)
    files = os.listdir(dirname)
    scenes = []
    scenes = []
    for file in files:
    for file in files:
        scenes.append(os.path.join(dirname, file))
        scenes.append(os.path.join(dirname, file))
    return scenes
    return scenes


def image_extractor(scenes):
def image_extractor(scenes):
    image_folder = []
    image_folder = []
    for scene in scenes:
    for scene in scenes:
        files = os.listdir(scene)
        files = os.listdir(scene)
        for file in files:
        for file in files:
            image_folder.append(os.path.join(scene, file))
            image_folder.append(os.path.join(scene, file))
    images = []
    images = []
    for folder in image_folder:
    for folder in image_folder:
        ims = os.listdir(folder)
        ims = os.listdir(folder)
        for im in ims:
        for im in ims:
            if im[-4:] == ".jp4" or im[-7:] == "_6.tiff":
            if im[-4:] == ".jp4" or im[-7:] == "_6.tiff":
                continue
                continue
            else:
            else:
                images.append(os.path.join(folder, im))
                images.append(os.path.join(folder, im))
    return images #returns a list of file paths to .tiff files in the specified directory given in file_extractor
    return images #returns a list of file paths to .tiff files in the specified directory given in file_extractor


def im_distribution(images, num):
def im_distribution(images, num):
    """
    """
    Function that extracts tiff files from specific cameras and returns a list of all
    Function that extracts tiff files from specific cameras and returns a list of all
    the tiff files corresponding to that camera. i.e. all pictures labeled "_7.tiff" or otherwise
    the tiff files corresponding to that camera. i.e. all pictures labeled "_7.tiff" or otherwise
    specified camera numbers.
    specified camera numbers.


    Parameters:
    Parameters:
        images (list): list of all tiff files, regardless of classification. This is NOT a list of directories but
        images (list): list of all tiff files, regardless of classification. This is NOT a list of directories but
        of specific tiff files that can be opened right away. This is the list that we iterate through and
        of specific tiff files that can be opened right away. This is the list that we iterate through and
        divide.
        divide.


        num (str): a string designation for the camera number that we want to extract i.e. "14" for double digits
        num (str): a string designation for the camera number that we want to extract i.e. "14" for double digits
        of "_1" for single digits.
        of "_1" for single digits.


    Returns:
    Returns:
        tiff (list): A list of tiff files that have the specified designation from num. They are the files extracted
        tiff (list): A list of tiff files that have the specified designation from num. They are the files extracted
        from the 'images' list that correspond to the given num.
        from the 'images' list that correspond to the given num.
    """
    """
    tiff = []
    tiff = []
    for im in images:
    for im in images:
        if im[-7:-5] == num:
        if im[-7:-5] == num:
            tiff.append(im)
            tiff.append(im)
    return tiff
    return tiff
```
```


%% Cell type:code id:9ed20f84 tags:
%% Cell type:code id:9ed20f84 tags:


``` python
``` python
def plot_hist(tiff_list, i):
def plot_hist(tiff_list, i):
    """
    """
    This function is the leftovers from the first attempt to plot histograms.
    This function is the leftovers from the first attempt to plot histograms.
    As it stands it needs some work in order to function again. We will
    As it stands it needs some work in order to function again. We will
    fix this later. 1/25/22
    fix this later. 1/25/22
    """
    """




    image = tiff_list[i]
    image = tiff_list[i]
    image = Image.open(image)    #Open the image and read it as an Image object
    image = Image.open(image)    #Open the image and read it as an Image object
    image = np.array(image)[1:,:]    #Convert to an array, leaving out the first row because the first row is just housekeeping data
    image = np.array(image)[1:,:]    #Convert to an array, leaving out the first row because the first row is just housekeeping data
    image = image.astype(int)
    image = image.astype(int)
    row, col = image.shape
    row, col = image.shape
    predict = np.empty([row,col])     # create a empty matrix to update prediction
    predict = np.empty([row,col])     # create a empty matrix to update prediction
    predict[0,:] = np.copy(image[0,:])       # keep the first row from the image
    predict[0,:] = np.copy(image[0,:])       # keep the first row from the image
    predict[:,0] = np.copy(image[:,0])      # keep the first columen from the image
    predict[:,0] = np.copy(image[:,0])      # keep the first columen from the image
    predict[-1,:] = np.copy(image[-1,:])       # keep the first row from the image
    predict[-1,:] = np.copy(image[-1,:])       # keep the first row from the image
    predict[:,-1] = np.copy(image[:,-1])      # keep the first columen from the image
    predict[:,-1] = np.copy(image[:,-1])      # keep the first columen from the image
    diff = np.empty([row,col])
    diff = np.empty([row,col])
    diff[0,:] = np.zeros(col)       # keep the first row from the image
    diff[0,:] = np.zeros(col)       # keep the first row from the image
    diff[:,0] = np.zeros(row)
    diff[:,0] = np.zeros(row)
    diff[-1,:] = np.zeros(col)       # keep the first row from the image
    diff[-1,:] = np.zeros(col)       # keep the first row from the image
    diff[:,-1] = np.zeros(row)
    diff[:,-1] = np.zeros(row)
    A = np.array([[3,0,-1],[0,3,3],[1,-3,-4]])
    A = np.array([[3,0,-1],[0,3,3],[1,-3,-4]])
    '''z0 = image[0:-2,0:-2]
    '''z0 = image[0:-2,0:-2]
    z1 = image[0:-2,1:-1]
    z1 = image[0:-2,1:-1]
    z2 = image[0:-2,2::]
    z2 = image[0:-2,2::]
    z3 = image[1:-1,0:-2]
    z3 = image[1:-1,0:-2]
    y0 = -z0+z2-z3
    y0 = -z0+z2-z3
    y1 = z0+z1+z2
    y1 = z0+z1+z2
    y2 = -z0-z1-z2-z3
    y2 = -z0-z1-z2-z3
    predict = [np.linalg.solve(A,np.array([y0[r,c],y1[r,c],y2[r,c]]))[-1] for r in range(0,row-2) for c in range(0,col-2)]
    predict = [np.linalg.solve(A,np.array([y0[r,c],y1[r,c],y2[r,c]]))[-1] for r in range(0,row-2) for c in range(0,col-2)]
    diff = [(np.max([z0[r,c],z1[r,c],z2[r,c],z3[r,c]])-np.min([z0[r,c],z1[r,c],z2[r,c],z3[r,c]])) for r in range(0,row-2) for c in range(0,col-2)]
    diff = [(np.max([z0[r,c],z1[r,c],z2[r,c],z3[r,c]])-np.min([z0[r,c],z1[r,c],z2[r,c],z3[r,c]])) for r in range(0,row-2) for c in range(0,col-2)]
    '''
    '''
    for r in range(1,row-1):                  # loop through the rth row
    for r in range(1,row-1):                  # loop through the rth row
        for c in range(1,col-1):              # loop through the cth column
        for c in range(1,col-1):              # loop through the cth column
            actual_surrounding = np.array([image[r-1,c-1], image[r-1,c], image[r-1,c+1], image[r,c-1]])
            actual_surrounding = np.array([image[r-1,c-1], image[r-1,c], image[r-1,c+1], image[r,c-1]])
            #z = np.array([int(image[r-1,c-1]), int(image[r-1,c]), int(image[r-1,c+1]), int(image[r,c-1])])
            #z = np.array([int(image[r-1,c-1]), int(image[r-1,c]), int(image[r-1,c+1]), int(image[r,c-1])])
            z = np.array([image[r-1,c-1], image[r-1,c], image[r-1,c+1], image[r,c-1]])
            z = np.array([image[r-1,c-1], image[r-1,c], image[r-1,c+1], image[r,c-1]])
            y = np.array([-z[0]+z[2]-z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
            y = np.array([-z[0]+z[2]-z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
            predict[r,c] = np.linalg.solve(A,y)[-1]
            predict[r,c] = np.linalg.solve(A,y)[-1]
            diff[r,c] = (np.max(actual_surrounding)-np.min(actual_surrounding))
            diff[r,c] = (np.max(actual_surrounding)-np.min(actual_surrounding))
    predict = np.ravel(predict[1:-1,1:-1])
    predict = np.ravel(predict[1:-1,1:-1])
    diff = np.ravel(diff[1:-1,1:-1])
    diff = np.ravel(diff[1:-1,1:-1])
    image = np.ravel(image[1:-1,1:-1])
    image = np.ravel(image[1:-1,1:-1])
    return image, predict, diff
    return image, predict, diff
```
```


%% Cell type:code id:8e3ef654 tags:
%% Cell type:code id:8e3ef654 tags:


``` python
``` python
scenes = file_extractor()
scenes = file_extractor()
images = image_extractor(scenes)
images = image_extractor(scenes)
num_images = im_distribution(images, "_9")
num_images = im_distribution(images, "_9")
error_mean = []
error_mean = []
error_mean1 = []
error_mean1 = []
diff_mean = []
diff_mean = []
times = []
times = []
times1 = []
times1 = []
all_error = []
all_error = []
for i in range(len(num_images)):
for i in range(len(num_images)):
    """start1 = time()
    """start1 = time()
    image_1, predict_1, difference_1, x_s_1 = plot_hist(num_images, i, "second")
    image_1, predict_1, difference_1, x_s_1 = plot_hist(num_images, i, "second")
    stop1 = time()
    stop1 = time()
    times1.append(stop1-start1)
    times1.append(stop1-start1)
    error1 = np.abs(image_1-predict_1)
    error1 = np.abs(image_1-predict_1)
    error_mean1.append(np.mean(np.ravel(error1)))"""
    error_mean1.append(np.mean(np.ravel(error1)))"""
    start = time()
    start = time()
    image, predict, difference = plot_hist(num_images, i)
    image, predict, difference = plot_hist(num_images, i)
    stop = time()
    stop = time()
    times.append(stop-start)
    times.append(stop-start)
    error = np.abs(image-predict)
    error = np.abs(image-predict)
    all_error.append(np.ravel(error))
    all_error.append(np.ravel(error))
    error_mean.append(np.mean(np.ravel(error)))
    error_mean.append(np.mean(np.ravel(error)))
    diff_mean.append(np.mean(np.ravel(difference)))
    diff_mean.append(np.mean(np.ravel(difference)))
```
```


%% Cell type:code id:a51dcb6f tags:
%% Cell type:code id:fa65dcd6 tags:


``` python
``` python
print(f"Average Error First and Second Added: {np.mean(error_mean)}")
print(f"Average Error First and Second Added: {np.mean(error_mean)}")


print(f"Standard Deviaiton of Mean Errors: {np.sqrt(np.var(error_mean))}")
print(f"Standard Deviaiton of Mean Errors: {np.sqrt(np.var(error_mean))}")
print(f"Average Difference: {np.mean(diff_mean)}")
print(f"Average Difference: {np.mean(diff_mean)}")
print(f"Average Time per Image for First: {np.mean(times)}")
print(f"Average Time per Image for First: {np.mean(times)}")
```
```


%% Output
%% Output


    Average Error First and Second Added: 20.017164930235467
    Average Error First and Second Added: 20.017164930235467
    Standard Deviaiton of Mean Errors: 0.16101183692474846
    Standard Deviaiton of Mean Errors: 0.16101183692474846
    Average Difference: 53.678648426455226
    Average Difference: 53.678648426455226
    Average Time per Image for First: 9.85209345817566
    Average Time per Image for First: 9.85209345817566


%% Cell type:code id:dda442ae tags:
%% Cell type:code id:dda442ae tags:


``` python
``` python
fig = plt.figure(figsize = (10,10))
fig = plt.figure(figsize = (10,10))
ax = fig.add_subplot()
ax = fig.add_subplot()
x = np.abs(predict-image)
x = np.abs(predict-image)
y = diff
y = diff
plt.plot(x,y,'o',alpha = 0.2)
plt.plot(x,y,'o',alpha = 0.2)
plt.rcParams.update({'font.size': 20})
plt.rcParams.update({'font.size': 20})
plt.xlabel("differnece to the true value" )
plt.xlabel("differnece to the true value" )
plt.ylabel("differnece of min and max of true value of the surroundings")
plt.ylabel("differnece of min and max of true value of the surroundings")
plt.show()
plt.show()
```
```


%% Output
%% Output




%% Cell type:code id:58da6063 tags:
%% Cell type:code id:58da6063 tags:


``` python
``` python
image = Image.open(images[0])    #Open the image and read it as an Image object
image = Image.open(images[0])    #Open the image and read it as an Image object
image = np.array(image)[1:,:]
image = np.array(image)[1:,:]
#z = np.array([image[1-1,1-1], image[1-1,1], image[1-1,1+1], image[1,1-1]])
#z = np.array([image[1-1,1-1], image[1-1,1], image[1-1,1+1], image[1,1-1]])
z = np.array([22554,22552,22519,22561])
z = np.array([22554,22552,22519,22561])
print(z)
print(z)
'''A = np.array([[-3,0,1],[0,-3,3],[-1,-3,4]])
'''A = np.array([[-3,0,1],[0,-3,3],[-1,-3,4]])
y = np.array([z[0]-z[2]+z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
y = np.array([z[0]-z[2]+z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
a,b,c = np.linalg.solve(A,y)'''
a,b,c = np.linalg.solve(A,y)'''
A = np.array([[3,0,-1],[0,3,3],[1,-3,-4]])
A = np.array([[3,0,-1],[0,3,3],[1,-3,-4]])
y = np.array([-z[0]+z[2]-z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
y = np.array([-z[0]+z[2]-z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
print(y)
print(y)
a,b,c = np.linalg.solve(A,y)
a,b,c = np.linalg.solve(A,y)
print(a,b,c)
print(a,b,c)
```
```


%% Output
%% Output


    [22554 22552 22519 22561]
    [22554 22552 22519 22561]
    [-22596  67625 -90186]
    [-22596  67625 -90186]
    -17.49999999999879 -1.8333333333369712 22543.500000000004
    -17.49999999999879 -1.8333333333369712 22543.500000000004


%% Cell type:code id:2562feeb tags:
%% Cell type:code id:2562feeb tags:


``` python
``` python
i0 = (a*(-1) + b*(1) + c)
i0 = (a*(-1) + b*(1) + c)
i1 = (a*(0) + b*(1) + c)
i1 = (a*(0) + b*(1) + c)
i2 = (a*(1) + b*(1) + c)
i2 = (a*(1) + b*(1) + c)
i3 = (a*(-1) + b*(0) + c)
i3 = (a*(-1) + b*(0) + c)
print(sum([(i0-z[0])**2,(i1-z[1])**2,(i2-z[2])**2,(i3-z[3])**2]))
print(sum([(i0-z[0])**2,(i1-z[1])**2,(i2-z[2])**2,(i3-z[3])**2]))
```
```


%% Output
%% Output


    160.16666666662906
    160.16666666662906


%% Cell type:code id:470cc137 tags:
%% Cell type:code id:470cc137 tags:


``` python
``` python
a = 0
a = 0
b = 2
b = 2
c = 2
c = 2
i0 = (a*(-1) + b*(1) + c)
i0 = (a*(-1) + b*(1) + c)
i1 = (a*(0) + b*(1) + c)
i1 = (a*(0) + b*(1) + c)
i2 = (a*(1) + b*(1) + c)
i2 = (a*(1) + b*(1) + c)
i3 = (a*(-1) + b*(0) + c)
i3 = (a*(-1) + b*(0) + c)
print(sum([(i0-z[0])**2,(i1-z[1])**2,(i2-z[2])**2,(i3-z[3])**2]))
print(sum([(i0-z[0])**2,(i1-z[1])**2,(i2-z[2])**2,(i3-z[3])**2]))
```
```


%% Output
%% Output


    2032748510
    2032748510


%% Cell type:code id:3292b395 tags:
%% Cell type:code id:3292b395 tags:


``` python
``` python
z = np.hstack((image[0,:3], image[1,0]))
z = np.hstack((image[0,:3], image[1,0]))
x = np.array([-1,0,1,-1])
x = np.array([-1,0,1,-1])
y = np.array([-1,-1,-1,0])
y = np.array([-1,-1,-1,0])
A = np.array([[-3,0,1],[0,-3,3],[1,3,-4]])
A = np.array([[-3,0,1],[0,-3,3],[1,3,-4]])
y = np.array([z[0]-z[2]+z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
y = np.array([z[0]-z[2]+z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
print(np.linalg.solve(A,y)[-1])
print(np.linalg.solve(A,y)[-1])
```
```


%% Output
%% Output


    -75749.00000000001
    -75749.00000000001


    C:\Users\calle\AppData\Local\Temp/ipykernel_15648/1729129504.py:5: RuntimeWarning: overflow encountered in ushort_scalars
    C:\Users\calle\AppData\Local\Temp/ipykernel_15648/1729129504.py:5: RuntimeWarning: overflow encountered in ushort_scalars
      y = np.array([z[0]-z[2]+z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])
      y = np.array([z[0]-z[2]+z[3], z[0]+z[1]+z[2], -z[0]-z[1]-z[2]-z[3]])


%% Cell type:code id:f9687830 tags:
%% Cell type:code id:f9687830 tags:


``` python
``` python
0.5**2 + 1.5**2
0.5**2 + 1.5**2
```
```


%% Cell type:code id:e98eed4b tags:
%% Cell type:code id:e98eed4b tags:


``` python
``` python
```
```