Delete main.py
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main.py
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import numpy as np
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import matplotlib.pyplot as plt
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import streamlit as st
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from skimage import io, color
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from numpy.linalg import norm
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def svd_compress(image, k):
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"""Compress the image using SVD by keeping only the top k singular values."""
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U, S, Vt = np.linalg.svd(image, full_matrices=False)
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compressed_image = np.dot(U[:, :k], np.dot(np.diag(S[:k]), Vt[:k, :]))
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return compressed_image
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def compute_norms(original, compressed):
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"""Compute different norms to compare image quality."""
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frobenius_norm = norm(original - compressed, 'fro')
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l2_norm = norm(original - compressed)
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max_norm = norm(original - compressed, np.inf)
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return frobenius_norm, l2_norm, max_norm
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def plot_images(original, compressed, k):
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"""Plot original and compressed images side by side."""
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fig, axes = plt.subplots(1, 2, figsize=(12, 6))
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axes[0].imshow(original, cmap='gray')
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axes[0].set_title("Original Image")
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axes[0].axis('off')
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axes[1].imshow(compressed, cmap='gray')
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axes[1].set_title(f"Compressed Image (Rank {k})")
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axes[1].axis('off')
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st.pyplot(fig)
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# Streamlit app
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st.title("Image Compression using SVD")
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# Upload an image
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uploaded_file = st.file_uploader("Upload an image", type=["png", "jpg", "jpeg"])
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if uploaded_file is not None:
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# Load the image
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image = io.imread(uploaded_file)
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gray_image = color.rgb2gray(image)
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# Select compression rank
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k = st.slider("Select the rank for compression", min_value=1, max_value=min(gray_image.shape), value=50)
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# Compress the image
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compressed_image = svd_compress(gray_image, k)
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# Compute norms
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frobenius_norm, l2_norm, max_norm = compute_norms(gray_image, compressed_image)
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# Display norms
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st.write(f"Frobenius Norm: {frobenius_norm}")
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st.write(f"L2 Norm: {l2_norm}")
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st.write(f"Max Norm: {max_norm}")
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# Plot images
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plot_images(gray_image, compressed_image, k)
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