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one_d() -> None: U, S, VT, _ = uz_image.compute_PCA(points) uz_image.plot_histogram_pca(U, S, VT) - # U is the matrix of eigenvectors # S is the vector of eigenvalues @@ -234,21 +233,24 @@ def three_b(): img2 = imgs[0].copy() - # Project image into PCA subspace - y_i = np.matmul(img2 - mean, U) - y_i[0] = 0 + fig, axs = plt.subplots(5, 2) + for i in range(5): + + # Project image into PCA subspace + y_i = np.matmul(img2 - mean, U) + y_i[i] = 0 - # Project image back into original subspace - x_i = np.matmul(y_i, U.T) + mean + # Project image back into original subspace + x_i = np.matmul(y_i, U.T) + mean - # Plot the original image and the projected images - diff = (np.sum(np.abs(img - x_i))) - fig, axs = plt.subplots(1, 2) - fig.suptitle(f'Add noise in PCA space, diff: {np.round(diff, 2)}') - axs[0].imshow(img2.reshape((96, 84)), cmap='gray') - axs[1].imshow(x_i.reshape((96, 84)), cmap='gray') + # Plot the original image and the projected images + diff = (np.sum(np.abs(img - x_i))) + + axs[i, 0].imshow(img2.reshape((96, 84)).copy(), cmap='gray') + axs[i, 1].imshow(x_i.reshape((96, 84)).copy(), cmap='gray') + + axs[i, 1].set(title=f'Add noise in PCA space y[{i}], diff: {np.round(diff, 2)}') plt.show() - def three_c(): """ Effect of the number of components on the reconstruction: Take a random @@ -430,7 +432,7 @@ def main(): #one_f() #two_b() #three_a() - #three_b() + three_b() #three_c() #three_d() #three_e() diff --git a/assignment6/video.avi b/assignment6/video.avi new file mode 100644 index 0000000000000000000000000000000000000000..bbf002effc75aeb80195d5f5f7d5618de63b387b GIT binary patch literal 5686 zcmWIYbaT@aV_!w6(CFbHshDKG&Q zVQ64tV0ZxGAS8h-kXcg%7#NC6igJJ$Y*txjO0k=7fC;ifkXCf<|A7Ferh(}JBT#>u z22cQmVfHaHNHBoS65xX=h0|W4e%=y5yIG(j1_mj~aLG}|Xb6mkz-S1JhQMeDjE2By z2#kinXb6mkz-S1JhQMeDjE2C72m#Re01I%?AwMNI2Z%C$j0j(2_atbXMhYn9>F4I} z8SEAU8cp#@EK4)B&@(sFGc+(@0EN~MX6(90MMpzmGz5ls2!Kim&`4@-epzN_N`)cF Fw*aVeGSL74 literal 0 HcmV?d00001