From bcd144598fbed3bbb61628ae89efdb63d83b285e Mon Sep 17 00:00:00 2001 From: riddhip23 Date: Tue, 9 Aug 2022 10:45:59 +0530 Subject: [PATCH 1/3] 2020BTEIT00029 --- Assignment 2/2020BTEIT00029/Huffman.py | 131 ++++++++++++++++++ .../2020BTEIT00029/Vector_Quantization.py | 42 ++++++ 2 files changed, 173 insertions(+) create mode 100644 Assignment 2/2020BTEIT00029/Huffman.py create mode 100644 Assignment 2/2020BTEIT00029/Vector_Quantization.py diff --git a/Assignment 2/2020BTEIT00029/Huffman.py b/Assignment 2/2020BTEIT00029/Huffman.py new file mode 100644 index 0000000..89a7e63 --- /dev/null +++ b/Assignment 2/2020BTEIT00029/Huffman.py @@ -0,0 +1,131 @@ +import re +import numpy as np +from PIL import Image +print("Huffman Compression Program") + +file = "compressed.png" +my_string = np.asarray(Image.open(file), np.uint8) +shape = my_string.shape +a = my_string + +my_string = str(my_string.tolist()) + + +letters = [] +only_letters = [] +for letter in my_string: + if letter not in letters: + frequency = my_string.count(letter) + letters.append(frequency) + letters.append(letter) + only_letters.append(letter) + +nodes = [] +while len(letters) > 0: + nodes.append(letters[0:2]) + letters = letters[2:] +nodes.sort() +huffman_tree = [] +huffman_tree.append(nodes) + + +def combine_nodes(nodes): + pos = 0 + newnode = [] + if len(nodes) > 1: + nodes.sort() + nodes[pos].append("1") + nodes[pos+1].append("0") + combined_node1 = (nodes[pos][0] + nodes[pos+1][0]) + combined_node2 = (nodes[pos][1] + nodes[pos+1][1]) + newnode.append(combined_node1) + newnode.append(combined_node2) + newnodes = [] + newnodes.append(newnode) + newnodes = newnodes + nodes[2:] + nodes = newnodes + huffman_tree.append(nodes) + combine_nodes(nodes) + return huffman_tree + + +newnodes = combine_nodes(nodes) + +huffman_tree.sort(reverse=True) +print("Huffman tree with merged pathways:") + +checklist = [] +for level in huffman_tree: + for node in level: + if node not in checklist: + checklist.append(node) + else: + level.remove(node) +count = 0 +for level in huffman_tree: + print("Level", count, ":", level) + count += 1 +print() + +letter_binary = [] +if len(only_letters) == 1: + lettercode = [only_letters[0], "0"] + letter_binary.append(letter_code*len(my_string)) +else: + for letter in only_letters: + code = "" + for node in checklist: + if len(node) > 2 and letter in node[1]: + code = code + node[2] + lettercode = [letter, code] + letter_binary.append(lettercode) +print(letter_binary) +print("Binary code generated:") +for letter in letter_binary: + print(letter[0], letter[1]) + +bitstring = "" +for character in my_string: + for item in letter_binary: + if character in item: + bitstring = bitstring + item[1] +binary = "0b"+bitstring +print("Your message as binary is:") + + +uncompressed_file_size = len(my_string)*7 +compressed_file_size = len(binary)-2 +print("Your original file size was", uncompressed_file_size, + "bits. The compressed size is:", compressed_file_size) +print("This is a saving of ", uncompressed_file_size-compressed_file_size, "bits") +output = open("compressed.txt", "w+") +print("Compressed file generated as compressed.txt") +output = open("compressed.txt", "w+") +print("Decoding.......") +output.write(bitstring) + +bitstring = str(binary[2:]) +uncompressed_string = "" +code = "" +for digit in bitstring: + code = code+digit + pos = 0 + for letter in letter_binary: + if code == letter[1]: + uncompressed_string = uncompressed_string+letter_binary[pos][0] + code = "" + pos += 1 + +temp = re.findall(r'\d+', uncompressed_string) +res = list(map(int, temp)) +res = np.array(res) +res = res.astype(np.uint8) +res = np.reshape(res, shape) +print(res) +print("Observe the shapes and input and output arrays are matching or not") +print("Input image dimensions:", shape) +print("Output image dimensions:", res.shape) +data = Image.fromarray(res) +data.save('original.png') +if a.all() == res.all(): + print("Success") diff --git a/Assignment 2/2020BTEIT00029/Vector_Quantization.py b/Assignment 2/2020BTEIT00029/Vector_Quantization.py new file mode 100644 index 0000000..97cef46 --- /dev/null +++ b/Assignment 2/2020BTEIT00029/Vector_Quantization.py @@ -0,0 +1,42 @@ + #for working and manipulating arrays +import numpy as np +import scipy as sp +# For plotting and Visualization +import matplotlib.pyplot as plt + +from sklearn import cluster + +from PIL import Image + +im = Image.open("myImage.jpg") +im = np.array(im) + + +n_clusters = 5 +np.random.seed(0) + +X = im.reshape((-1, 1)) +k_means = cluster.KMeans(n_clusters=n_clusters, n_init=4) +k_means.fit(X) +values = k_means.cluster_centers_.squeeze() +labels = k_means.labels_ + +# create an array from labels and values +im_compressed = np.choose(labels, values) +im_compressed.shape = im.shape + +vmin = im.min() +vmax = im.max() + +# original image +plt.figure(1, figsize=(3, 2.2)) +plt.imshow(im.astype('uint8'), cmap=plt.cm.gray, 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2/2020BTEIT00029/Observation.txt new file mode 100644 index 0000000..cb4d735 --- /dev/null +++ b/Assignment 2/2020BTEIT00029/Observation.txt @@ -0,0 +1,20 @@ +1) Original.jpg : + Dimensions: 128x128 px + Size: 171.7 kB +2) Compressed.png : + Dimensions: 100x100 px + Size: 114.2 kB + +Performance: + By calculating the Compression Ratio of the image: + + compression ratio = (uncompressed image size / compressed image size) + =171.7/114.2 + =1.50 + + +Huffman Encoding Time Complexity: + + The time complexity for encoding each unique character based on its frequency is O(nlog n). +Extracting minimum frequency from the priority queue takes place 2*(n-1) times and its complexity is O(log n). Thus the overall complexity is O(nlog n). +