Commit abb3eb44 authored by Bryce Hepner's avatar Bryce Hepner
Browse files

Needs major rework on the dict part

parent f69abfd0
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SameTableEncoder.ipynb

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%% Cell type:code id: tags:

``` python
import numpy as np
from matplotlib import pyplot as plt
from itertools import product
import os
import sys
from PIL import Image
from scipy.optimize import minimize,linprog
from sklearn.neighbors import KernelDensity
from collections import Counter
import numpy.linalg as la
```

%% Cell type:code id: tags:

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

def image_extractor(scenes):
    image_folder = []
    for scene in scenes:
        files = os.listdir(scene)
        for file in files:
            if file[-5:] != ".tiff" or file[-7:] == "_6.tiff":
                continue
            else:
                image_folder.append(os.path.join(scene, file))
    return image_folder #returns a list of file paths to .tiff files in the specified directory given in file_extractor

def im_distribution(images, num):
    """
    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
    specified camera numbers.

    Parameters:
        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
        divide.

        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.

    Returns:
        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.
    """
    tiff = []
    for im in images:
        if im[-7:-5] == num:
            tiff.append(im)
    return tiff
```

%% Cell type:code id: tags:

``` python
def predict_pix(tiff_image_path, difference = True):
    """
    This function predict the pixel values excluding the boundary.
    Using the 4 neighbor pixel values and MSE to predict the next pixel value
    (-1,1) (0,1) (1,1)  => relative position of the 4 other given values
    (-1,0) (0,0)        => (0,0) is the one we want to predict
    take the derivative of mean square error to solve for the system of equation
    A = np.array([[3,0,-1],[0,3,3],[1,-3,-4]])
    A @ [a, b, c] = [-z0+z2-z3, z0+z1+z2, -z0-z1-z2-z3] where z0 = (-1,1), z1 = (0,1), z2 = (1,1), z3 = (-1,0)
    and the predicted pixel value is c.

    Input:
    tiff_image_path (string): path to the tiff file

    Return:
    image   ndarray(512 X 640): original image
    predict ndarray(325380,): predicted image excluding the boundary
    diff.   ndarray(325380,): IF difference = TRUE, difference between the min and max of four neighbors exclude the boundary
                            ELSE: the residuals of the four nearest pixels to a fitted hyperplane
    error   ndarray(325380,): difference between the original image and predicted image
    A       ndarray(3 X 3): system of equation
    """
    image_obj = Image.open(tiff_image_path)    #Open the image and read it as an Image object
    image_array = np.array(image_obj)[1:,:].astype(int)    #Convert to an array, leaving out the first row because the first row is just housekeeping data
    # image_array = image_array.astype(int)
    A = np.array([[3,0,-1],[0,3,3],[1,-3,-4]]) # the matrix for system of equation
    # where z0 = (-1,1), z1 = (0,1), z2 = (1,1), z3 = (-1,0)
    z0 = image_array[0:-2,0:-2]   # get all the first pixel for the entire image
    z1 = image_array[0:-2,1:-1]   # get all the second pixel for the entire image
    z2 = image_array[0:-2,2::]    # get all the third pixel for the entire image
    z3 = image_array[1:-1,0:-2]   # get all the forth pixel for the entire image

    # calculate the out put of the system of equation
    y0 = np.ravel(-z0+z2-z3)
    y1 = np.ravel(z0+z1+z2)
    y2 = np.ravel(-z0-z1-z2-z3)
    y = np.vstack((y0,y1,y2))

    # use numpy solver to solve the system of equations all at once
    #predict = np.floor(np.linalg.solve(A,y)[-1])
    predict = np.round(np.round((np.linalg.solve(A,y)[-1]),1))

    #Matrix system of points that will be used to solve the least squares fitting hyperplane
    points = np.array([[-1,-1,1], [-1,0,1], [-1,1,1], [0,-1,1]])

    # flatten the neighbor pixlels and stack them together
    z0 = np.ravel(z0)
    z1 = np.ravel(z1)
    z2 = np.ravel(z2)
    z3 = np.ravel(z3)
    neighbor = np.vstack((z0,z1,z2,z3)).T

    if difference:
        # calculate the difference
        diff = np.max(neighbor,axis = 1) - np.min(neighbor, axis=1)

    else:
        #Compute the best fitting hyperplane using least squares
        #The res is the residuals of the four points used to fit the hyperplane (summed distance of each of the
        #points to the hyperplane), it is a measure of gradient
        f, diff, rank, s = la.lstsq(points, neighbor.T, rcond=None)
        diff = diff.astype(int)

    # calculate the error
    error = np.ravel(image_array[1:-1,1:-1])-predict

    return image_array, predict, diff, error, A
```

%% Cell type:code id: tags:

``` python
"""
this huffman encoding code is found online
https://favtutor.com/blogs/huffman-coding
"""

class NodeTree(object):
    def __init__(self, left=None, right=None):
        self.left = left
        self.right = right

    def children(self):
        return self.left, self.right

    def __str__(self):
        return self.left, self.right


def huffman_code_tree(node, binString=''):
    '''
    Function to find Huffman Code
    '''
    if type(node) is str:
        return {node: binString}
    (l, r) = node.children()
    d = dict()
    d.update(huffman_code_tree(l, binString + '0'))
    d.update(huffman_code_tree(r, binString + '1'))
    return d


def make_tree(nodes):
    '''
    Function to make tree
    :param nodes: Nodes
    :return: Root of the tree
    '''
    while len(nodes) > 1:
        (key1, c1) = nodes[-1]
        (key2, c2) = nodes[-2]
        nodes = nodes[:-2]
        node = NodeTree(key1, key2)
        nodes.append((node, c1 + c2))
        #reverse True, decending order

        #There is a huge memory leak here, no idea how or why
        nodes = sorted(nodes, key=lambda x: x[1], reverse=True)
    return nodes[0][0]
def decode_string(huffman_string, the_keys, the_values):
    for i in range(len(huffman_string)):
        try:
            return (int(the_keys[the_values.index(huffman_string[:i+1])]),huffman_string[i+1:])
        except:
            pass
```

%% Cell type:code id: tags:

``` python
def huffman(tiff_image_path, num_bins=4, difference = True):
    """
    This function is used to encode the error based on the difference
    and split the difference into different bins

    Input:
    tiff_image_path     (string): path to the tiff file
    num_bins            (int): number of bins

    Return:
    huffman_encoding_list  list    (num_bins + 1): a list of dictionary
    image_array            ndarray (512, 640): original image
    new_error              ndarray (512, 640): error that includes the boundary
    diff                   ndarray (510, 638): difference of min and max of the 4 neighbors
    boundary               ndarray (2300,): the boundary values after subtracting the very first pixel value
    predict                ndarray (325380,): the list of predicted values
    bins                   list    (num_bins - 1,): a list of threshold to cut the bins
    A                      ndarray (3 X 3): system of equation

    """
    # get the image_array, etc
    image_array, predict, diff, error, A = predict_pix(tiff_image_path, difference)

    # calculate the number of points that will go in each bin
    data_points_per_bin = diff.size // num_bins

    # sort the difference and create the bins
    sorted_diff = np.sort(diff.copy())
    bins = [sorted_diff[i*data_points_per_bin] for i in range(1,num_bins)]

    # get the boundary
    boundary = np.hstack((image_array[0,:],image_array[-1,:],image_array[1:-1,0],image_array[1:-1,-1]))

    # take the difference of the boundary with the very first pixel
    boundary = boundary - image_array[0,0]

    #boundary is 1dim, so boundary[0] is just the first element
    boundary[0] = image_array[0,0]

    # huffman encode the boundary
    bound_vals_as_string = [str(i) for i in boundary]
    freq = dict(Counter(bound_vals_as_string))
    freq = sorted(freq.items(), key=lambda x: x[1], reverse=True)
    node = make_tree(freq)
    huffman_encoding_dict = huffman_code_tree(node)

    # create a list of huffman table
    huffman_encoding_list = [huffman_encoding_dict]
    n = len(bins)

    # loop through different bins
    for i in range (0,n):
        # the first bin
        if i == 0 :
            # get the point within the bin and huffman huffman_encoding_dict
            mask = diff <= bins[i]
            line_as_string = [str(i) for i in error[mask].astype(int)]
            freq = dict(Counter(line_as_string))
            freq = sorted(freq.items(), key=lambda x: x[1], reverse=True)
            node = make_tree(freq)
            huffman_encoding_dict = huffman_code_tree(node)
            huffman_encoding_list.append(huffman_encoding_dict)

        # the middle bins
        else:
            # get the point within the bin and huffman huffman_encoding_dict
            mask = diff > bins[i-1]
            new_error = error[mask]
            mask2 = diff[mask] <= bins[i]
            line_as_string = [str(i) for i in new_error[mask2].astype(int)]
            freq = dict(Counter(line_as_string))
            freq = sorted(freq.items(), key=lambda x: x[1], reverse=True)
            node = make_tree(freq)
            huffman_encoding_dict = huffman_code_tree(node)
            huffman_encoding_list.append(huffman_encoding_dict)

    # the last bin
    # get the point within the bin and huffman huffman_encoding_dict
    mask = diff > bins[-1]
    line_as_string = [str(i) for i in error[mask].astype(int)]
    freq = dict(Counter(line_as_string))
    freq = sorted(freq.items(), key=lambda x: x[1], reverse=True)
    node = make_tree(freq)
    huffman_encoding_dict = huffman_code_tree(node)
    huffman_encoding_list.append(huffman_encoding_dict)

    # create a error matrix that includes the boundary (used in encoding matrix)
    new_error = np.copy(image_array)
    new_error[1:-1,1:-1] = np.reshape(error,(510, 638))
    keep = new_error[0,0]
    new_error[0,:] = new_error[0,:] - keep
    new_error[-1,:] = new_error[-1,:] - keep
    new_error[1:-1,0] = new_error[1:-1,0] - keep
    new_error[1:-1,-1] = new_error[1:-1,-1] - keep
    new_error[0,0] = keep
    # huffman_encoding_list = list(set(huffman_encoding_list))
    diff = np.reshape(diff,(510,638))
    # return the huffman dictionary

    return huffman_encoding_list, image_array, new_error, diff, boundary, predict, bins, A

```

%% Cell type:code id: tags:

``` python
def encoder(error, list_dic, diff, bound, bins):
    """
    This function encode the matrix with huffman coding tables

    Input:
    error     (512, 640): a matrix with all the errors
    list_dic  (num_dic + 1,): a list of huffman coding table
    bound     (2300,): the boundary values after subtracting the very first pixel value
    bins       (num_bins - 1,): a list of threshold to cut the bins

    Return:
    encoded   (512, 640): encoded matrix
    """
    returnable_encode = ""
    # copy the error matrix (including the boundary)
    encoded = np.copy(error).astype(int).astype(str).astype(object)
    #diff = np.reshape(diff,(510,638))
    # loop through all the pixel to encode
    for i in range(encoded.shape[0]):
        for j in range(encoded.shape[1]):
            if i == 0 or i == encoded.shape[0]-1 or j == 0 or j == encoded.shape[1]-1:
                returnable_encode += list_dic[0][encoded[i][j]]
            elif diff[i-1][j-1] <= bins[0]:
                returnable_encode += list_dic[1][encoded[i][j]]
            elif diff[i-1][j-1] <= bins[1] and diff[i-1][j-1] > bins[0]:
                returnable_encode +=list_dic[2][encoded[i][j]]
            elif diff[i-1][j-1] <= bins[2] and diff[i-1][j-1] > bins[1]:
                returnable_encode +=list_dic[3][encoded[i][j]]
            else:
                returnable_encode += list_dic[4][encoded[i][j]]
    return returnable_encode
```

%% Cell type:code id: tags:

``` python
def bitstring_to_bytes(s):
    v = int(s, 2)
    b = bytearray()
    while v:
        b.append(v & 0xff)
        v >>= 8
    return bytes(b[::-1])
```

%% Cell type:code id: tags:

``` python
scenes = file_extractor()
images = image_extractor(scenes)
oglist_dic, ogimage, ognew_error, ogdiff, ogbound, ogpredict, ogbins, ogA = huffman(images[0], 4, False)
file_size_ratios = []
for i in range(25,27):
    list_dic, image, new_error, diff, bound, predict, bins, A = huffman(images[i], 4, False)
    encoded_string = encoder(new_error, oglist_dic, diff, bound, ogbins)
    # reconstruct_image = decoder(A, encoded_string, list_dic, bins, False)
    # print(np.allclose(image, reconstruct_image))
    inletters = bitstring_to_bytes(encoded_string)
    with open("MatrixNowString.txt", 'w') as f:
        f.write(inletters.decode("ISO-8859-1"))
    file_size_ratios.append((os.path.getsize('MatrixNowString.txt'))/os.path.getsize('images/1626032610_393963/1626032610_393963_0.tiff'))
```

%% Output

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    ---------------------------------------------------------------------------
    KeyboardInterrupt                         Traceback (most recent call last)
    /home/bryce/git/master/SameTableEncoder.ipynb Cell 8' in <cell line: 5>()
          <a href='vscode-notebook-cell:/home/bryce/git/master/SameTableEncoder.ipynb#ch0000006?line=6'>7</a> encoded_string = encoder(new_error, oglist_dic, diff, bound, ogbins)
          <a href='vscode-notebook-cell:/home/bryce/git/master/SameTableEncoder.ipynb#ch0000006?line=7'>8</a> # reconstruct_image = decoder(A, encoded_string, list_dic, bins, False)
          <a href='vscode-notebook-cell:/home/bryce/git/master/SameTableEncoder.ipynb#ch0000006?line=8'>9</a> # print(np.allclose(image, reconstruct_image))
    ---> <a href='vscode-notebook-cell:/home/bryce/git/master/SameTableEncoder.ipynb#ch0000006?line=9'>10</a> inletters = bitstring_to_bytes(encoded_string)
         <a href='vscode-notebook-cell:/home/bryce/git/master/SameTableEncoder.ipynb#ch0000006?line=10'>11</a> with open("MatrixNowString.txt", 'w') as f:
         <a href='vscode-notebook-cell:/home/bryce/git/master/SameTableEncoder.ipynb#ch0000006?line=11'>12</a>     f.write(inletters.decode("ISO-8859-1"))
    /home/bryce/git/master/SameTableEncoder.ipynb Cell 7' in bitstring_to_bytes(s)
          <a href='vscode-notebook-cell:/home/bryce/git/master/SameTableEncoder.ipynb#ch0000007?line=3'>4</a> while v:
          <a href='vscode-notebook-cell:/home/bryce/git/master/SameTableEncoder.ipynb#ch0000007?line=4'>5</a>     b.append(v & 0xff)
    ----> <a href='vscode-notebook-cell:/home/bryce/git/master/SameTableEncoder.ipynb#ch0000007?line=5'>6</a>     v >>= 8
          <a href='vscode-notebook-cell:/home/bryce/git/master/SameTableEncoder.ipynb#ch0000007?line=6'>7</a> return bytes(b[::-1])
    KeyboardInterrupt:

%% Cell type:code id: tags:

``` python
print(np.mean(file_size_ratios))
```

%% Output

    0.6058229115470704

%% Cell type:code id: tags:

``` python
0.6058229115470704
```

%% Cell type:markdown id: tags:

Tomorrow note: Make new thing so that it rounds better, can be used losslessly while maintaining the same dict. Currently: wildly off.

%% Cell type:markdown id: tags:

info@elphel.com
801.599.6216
pdf4eclipse
Don't use 6, the channel is broken

%% Cell type:markdown id: tags: