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import os
import numpy as np
import matplotlib.pyplot as plt
import compress_image as ci
def load_dataset(dataset_name):
"""
Carica il dataset specificato.
:param dataset_name: nome del dataset
:return: images, k_values (immagini e valori di k da testare)
"""
match dataset_name:
case 'cifar10':
from keras.datasets import cifar10
(x_train, _), _ = cifar10.load_data()
images = x_train[:100].astype(float)
k_values = [2, 5, 10, 15, 20]
case 'cifar100':
from keras.datasets import cifar100
(x_train, _), _ = cifar100.load_data()
images = x_train[:100].astype(float)
k_values = [2, 5, 10, 15, 20]
case 'skimage':
from skimage import data
images = [data.astronaut().astype(float),
data.chelsea().astype(float),
data.coffee().astype(float)]
k_values = [10, 25, 50, 75, 100]
case _:
raise ValueError(f"Dataset '{dataset_name}' non supportato.")
return images, k_values
def calculate_elbow(k_values, error_values):
"""
Identifica il valore k ottimale usando il metodo geometrico (distanza massima dalla retta secante).
Normalizza i dati per evitare che la scala dell'MSE o di k domini il calcolo.
:param k_values: lista dei valori k
:param error_values: lista dei valori MSE corrispondenti
:return: (best_k, best_mse, index)
"""
x = np.array(k_values)
y = np.array(error_values)
# 1. Normalizzazione min-max
x_norm = (x - x.min()) / (x.max() - x.min())
y_norm = (y - y.min()) / (y.max() - y.min())
# 2. Definiamo il vettore della retta che congiunge inizio e fine
p1 = np.array([x_norm[0], y_norm[0]])
p2 = np.array([x_norm[-1], y_norm[-1]])
line_vec = p2 - p1
# 3. Calcolo distanza di ogni punto dalla retta
distances = []
for i in range(len(x)):
p_curr = np.array([x_norm[i], y_norm[i]])
vec_p1_curr = p_curr - p1
cross_prod = np.cross(line_vec, vec_p1_curr)
dist = np.abs(cross_prod) / np.linalg.norm(line_vec)
distances.append(dist)
# 4. Troviamo l'indice con la distanza massima
best_idx = np.argmax(distances)
return k_values[best_idx]
def plot_results(dataset, results, best_k_pca, best_k_svd):
"""
Genera e salva i grafici di confronto tra PCA e SVD per
MSE, PSNR, SSIM e Compression Ratio (CR).
"""
# --- Estrazione Dati ---
# Dati PCA
pca_data = results["pca"]
k_values = [r[0] for r in pca_data]
cr_pca = [r[1] for r in pca_data]
mse_pca = [r[2] for r in pca_data]
psnr_pca = [r[3] for r in pca_data]
ssim_pca = [r[4] for r in pca_data]
# Dati SVD
svd_data = results["svd"]
cr_svd = [r[1] for r in svd_data]
mse_svd = [r[2] for r in svd_data]
psnr_svd = [r[3] for r in svd_data]
ssim_svd = [r[4] for r in svd_data]
# --- Colori Personalizzati ---
colore_pca = '#1A9988'
colore_svd = '#EB5600'
# --- Creazione Grafici (Griglia 2x2) ---
fig, axs = plt.subplots(2, 2, figsize=(16, 12))
fig.suptitle('Confronto Compressione Immagini: PCA vs SVD', fontsize=18)
# 1. Grafico MSE (Minore è meglio)
axs[0, 0].plot(k_values, mse_pca, marker='o', linestyle='--', label='PCA', color=colore_pca)
axs[0, 0].plot(k_values, mse_svd, marker='x', linestyle='-', label='SVD', color=colore_svd)
axs[0, 0].scatter(best_k_pca, mse_pca[k_values.index(best_k_pca)], color='red', s=150, zorder=5, edgecolors='black', label=f'Best PCA (k={best_k_pca})')
axs[0, 0].scatter(best_k_svd, mse_svd[k_values.index(best_k_svd)], color='red', s=150, marker='X', zorder=5, edgecolors='black', label=f'Best SVD (k={best_k_svd})')
axs[0, 0].set_title('Mean Squared Error (MSE)')
axs[0, 0].set_xlabel('k (Numero Componenti)')
axs[0, 0].set_ylabel('MSE (Medio)')
axs[0, 0].legend()
axs[0, 0].grid(True, linestyle=':', alpha=0.7)
# 2. Grafico PSNR (Maggiore è meglio)
axs[0, 1].plot(k_values, psnr_pca, marker='o', linestyle='--', label='PCA', color=colore_pca)
axs[0, 1].plot(k_values, psnr_svd, marker='x', linestyle='-', label='SVD', color=colore_svd)
axs[0, 1].set_title('Peak Signal-to-Noise Ratio (PSNR)')
axs[0, 1].set_xlabel('k (Numero Componenti)')
axs[0, 1].set_ylabel('PSNR (dB)')
axs[0, 1].legend()
axs[0, 1].grid(True, linestyle=':', alpha=0.7)
# 3. Grafico SSIM (Maggiore è meglio, max 1.0)
axs[1, 0].plot(k_values, ssim_pca, marker='o', linestyle='--', label='PCA', color=colore_pca)
axs[1, 0].plot(k_values, ssim_svd, marker='x', linestyle='-', label='SVD', color=colore_svd)
axs[1, 0].set_title('Structural Similarity Index (SSIM)')
axs[1, 0].set_xlabel('k (Numero Componenti)')
axs[1, 0].set_ylabel('SSIM (Medio)')
axs[1, 0].legend()
axs[1, 0].grid(True, linestyle=':', alpha=0.7)
# 4. Grafico Compression Ratio (CR)
axs[1, 1].plot(k_values, cr_pca, marker='o', linestyle='--', label='PCA', color=colore_pca)
axs[1, 1].plot(k_values, cr_svd, marker='x', linestyle='-', label='SVD', color=colore_svd)
axs[1, 1].set_title('Compression Ratio (CR)')
axs[1, 1].set_xlabel('k (Numero Componenti)')
axs[1, 1].set_ylabel('CR (Medio)')
axs[1, 1].legend()
axs[1, 1].grid(True, linestyle=':', alpha=0.7)
plt.tight_layout(rect=[0, 0.03, 1, 0.95])
# Salva il grafico come immagine PNG
output_filename = f'compressione_{dataset}.png'
plt.savefig(output_filename)
print(f"\nGrafici di confronto salvati come '{output_filename}'")
def test(k_values):
"""
Esegue la compressione per una lista di k e salva i risultati su disco.
"""
from matplotlib.image import imread
image_path = "lamp_ORIGINAL.dng"
output_dir = "risultati_compressione"
results = {"pca": [], "svd": []}
# Crea la cartella di output se non esiste
if not os.path.exists(output_dir):
os.makedirs(output_dir)
print(f"Cartella '{output_dir}' creata.")
# Lettura immagine originale
try:
original = imread(image_path).astype(float)
except FileNotFoundError:
print(f"Errore: Immagine '{image_path}' non trovata.")
return
print(f"--- Inizio elaborazione e salvataggio per {len(k_values)} valori di k ---\n")
for k in k_values:
print(f"Sto elaborando k = {k}...")
# --- 1. Compressione PCA ---
compressed_img_pca, cr_pca = ci.compress_image('pca', original, k)
img_to_save_pca = np.clip(compressed_img_pca, 0, 255).astype('uint8')
filename_pca = os.path.join(output_dir, f"comp_pca_k{k}.jpg")
plt.imsave(filename_pca, img_to_save_pca)
mse_pca, psnr_pca, ssim_pca = ci.evaluate_compression(original, compressed_img_pca)
print(f" -> PCA: MSE={mse_pca:.2f}, PSNR={psnr_pca:.2f}, SSIM={ssim_pca:.4f}")
results["pca"].append((k, cr_pca, mse_pca, psnr_pca, ssim_pca))
# --- 2. Compressione SVD ---
compressed_img_svd, cr_svd = ci.compress_image('svd', original, k)
img_to_save_svd = np.clip(compressed_img_svd, 0, 255).astype('uint8')
filename_svd = os.path.join(output_dir, f"comp_svd_k{k}.jpg")
plt.imsave(filename_svd, img_to_save_svd)
mse_svd, psnr_svd, ssim_svd = ci.evaluate_compression(original, compressed_img_svd)
print(f" -> SVD: MSE={mse_svd:.2f}, PSNR={psnr_svd:.2f}, SSIM={ssim_svd:.4f}")
results["svd"].append((k, cr_svd, mse_svd, psnr_svd, ssim_svd))
# Stampa rapida info
print(f" -> Salvato: {filename_pca} (Ratio: {cr_pca:.2f}x)")
print(f" -> Salvato: {filename_svd} (Ratio: {cr_svd:.2f}x)")
print("-" * 30)
print(f"\Tutte le immagini sono nella cartella '{output_dir}'.")
best_k_pca = calculate_elbow(k_values, [r[2] for r in results["pca"]])
best_k_svd = calculate_elbow(k_values, [r[2] for r in results["svd"]])
return results, best_k_pca, best_k_svd
def main(dataset_name):
images, k_values = load_dataset(dataset_name)
results = {"pca": [], "svd": []}
for k in k_values:
print(f"k={k} -------------------------")
mse_pca_list, psnr_pca_list, ssim_pca_list = [], [], []
mse_svd_list, psnr_svd_list, ssim_svd_list = [], [], []
for img in images:
# PCA
comp_pca, cr_pca = ci.compress_image("pca", img, k)
mse, psnr, ssim_val = ci.evaluate_compression(img, comp_pca)
mse_pca_list.append(mse)
psnr_pca_list.append(psnr)
ssim_pca_list.append(ssim_val)
# SVD
comp_svd, cr_svd = ci.compress_image("svd", img, k)
mse, psnr, ssim_val = ci.evaluate_compression(img, comp_svd)
mse_svd_list.append(mse)
psnr_svd_list.append(psnr)
ssim_svd_list.append(ssim_val)
results["pca"].append((k, cr_pca, np.mean(mse_pca_list), np.mean(psnr_pca_list), np.mean(ssim_pca_list)))
results["svd"].append((k, cr_svd, np.mean(mse_svd_list), np.mean(psnr_svd_list), np.mean(ssim_svd_list)))
# Identificazione del miglior k usando il metodo del gomito
mse_values_pca = [r[2] for r in results["pca"]]
mse_values_svd = [r[2] for r in results["svd"]]
best_k_pca = calculate_elbow(k_values, mse_values_pca)
best_k_svd = calculate_elbow(k_values, mse_values_svd)
# Stampa risultati
print("\n=== RISULTATI MEDI ===")
print("\n--- PCA ---")
for r in results["pca"]:
print(f"k={r[0]} | CR={r[1]:.2f} | MSE={r[2]:.2f} | PSNR={r[3]:.2f} | SSIM={r[4]:.4f}")
print(f"\nMiglior k PCA: {best_k_pca}")
print("\n--- SVD ---")
for r in results["svd"]:
print(f"k={r[0]} | CR={r[1]:.2f} | MSE={r[2]:.2f} | PSNR={r[3]:.2f} | SSIM={r[4]:.4f}")
print(f"\nMiglior k SVD: {best_k_svd}")
return results, best_k_pca, best_k_svd
if __name__ == "__main__":
os.environ['TF_ENABLE_ONEDNN_OPTS'] = '0'
dataset = 'skimage'
risultati_finali, best_k_pca, best_k_svd = test([10, 20, 50, 100, 200])
plot_results(dataset, risultati_finali, best_k_pca, best_k_svd)