Commit 3d5b7a38 authored by Mathilde Rineau's avatar Mathilde Rineau 🙂
Browse files
parent dd30d17b
%% Cell type:code id:e21a63f2 tags:
``` python
#scene acquired by the ROSIS sensor during a flight campaign over Pavia, nothern Italy
#The number of spectral bands is 103 for Pavia University.
#Pavia University is 610*610 pixels
#The geometric resolution is 1.3 meters.
#Image groundtruths differenciate 9 classes each
#It can be seen the discarded samples in the figures as abroad black strips.
import numpy as np
import matplotlib.pyplot as plt
from scipy.io import loadmat
from sklearn.decomposition import PCA
def read_image():
#loading
X = loadmat('PaviaU.mat')['paviaU']
y = loadmat('PaviaU_gt.mat')['paviaU_gt']
#shape of X -> number of pixels and number of bands
print(f"X shape: {X.shape}")
#shape of Y -> number of pixels
print(f"y shape: {y.shape}")
#reshaping of X: we obtain a matrix of size(N*M,P)
X_lin = X.reshape((-1, X.shape[2]))
print(f"X_lin shape: {X_lin.shape}")
return X, y, X_lin
def choice_of_number_of_pc(X):
pca = PCA()
pca.fit(X)
plt.figure()
plt.bar(range(1, X.shape[1]+1), pca.explained_variance_)
plt.show()
plt.figure()
plt.plot(range(1, X.shape[1]+1), np.cumsum(pca.explained_variance_ratio_))
plt.show()
return
def dimension_reduction(X):
pca = PCA(n_components=3)
#pca.transform(X)
res = pca.fit_transform(X)
#pca.transform(res)
return res
```
%% Cell type:code id:3ad2823b tags:
``` python
#image loading and preprocessing
X, y, X_lin = read_image()
```
%%%% Output: stream
X shape: (610, 340, 103)
y shape: (610, 340)
X_lin shape: (207400, 103)
%% Cell type:code id:8370a375 tags:
``` python
#Choosing number of principal components
choice_of_number_of_pc(X_lin)
```
%%%% Output: display_data
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXQAAAEDCAYAAAAlRP8qAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAAPcElEQVR4nO3df6zddX3H8edrbf2JC7jeza4/KFsanZgo5KaALoaoy6CQdX+wpGSKYSYNBjdcTBbURON/LlncxlCaRpmyGciGhDVadERdwGSgbVeQUtFOmdzRrVcJrR1GrXvvj/MtObuee8+57bk9vR+ej+Sb+/1+P5/zPe9P7u2LL5/7Od+bqkKStPz90qQLkCSNh4EuSY0w0CWpEQa6JDXCQJekRhjoktSIiQZ6ktuTHEny2Ah9/zLJ/m77dpJnz0CJkrRsZJLr0JO8GTgO3FFVr1vE6/4YuKiq/mjJipOkZWaid+hV9QDwTP+5JL+Z5ItJ9iZ5MMlrBrz0WuDOM1KkJC0TKyddwAA7gRuq6jtJLgE+AbzlZGOS84ELgK9MqD5JOiudVYGe5BzgjcA/Jjl5+sVzum0D7q6qn5/J2iTpbHdWBTq9KaBnq+oNC/TZBtx4ZsqRpOXjrFq2WFXHgO8l+QOA9Lz+ZHuSVwPnAf86oRIl6aw16WWLd9IL51cnmUnyLuAPgXcleQQ4AGzte8m1wF3lIyIl6RdMdNmiJGl8zqopF0nSqZvYL0VXr15dGzdunNTbS9KytHfv3h9U1dSgtokF+saNG9mzZ8+k3l6SlqUk/zFfm1MuktQIA12SGmGgS1IjDHRJaoSBLkmNMNAlqREGuiQ1wkCXpEYY6JLUiLPteegj2XjzF57ff/KjV02wEkk6e3iHLkmNMNAlqREGuiQ1wkCXpEYMDfQkL0ny9SSPJDmQ5CMD+iTJLUkOJXk0ycVLU64kaT6jrHL5CfCWqjqeZBXwtST3VdVDfX2uBDZ12yXAbd1XSdIZMvQOvXqOd4erum3uHyLdCtzR9X0IODfJmvGWKklayEhz6ElWJNkPHAHur6qH53RZCzzVdzzTnZt7ne1J9iTZMzs7e4olS5IGGSnQq+rnVfUGYB2wOcnr5nTJoJcNuM7OqpququmpqYF/Ek+SdIoWtcqlqp4F/gW4Yk7TDLC+73gd8PTpFCZJWpxRVrlMJTm3238p8DbgW3O67QKu61a7XAocrarD4y5WkjS/UVa5rAE+k2QFvf8A/ENVfT7JDQBVtQPYDWwBDgHPAdcvUb2SpHkMDfSqehS4aMD5HX37Bdw43tIkSYvhJ0UlqREGuiQ1wkCXpEYY6JLUCANdkhphoEtSIwx0SWqEgS5JjTDQJakRBrokNcJAl6RGGOiS1AgDXZIaYaBLUiMMdElqhIEuSY0w0CWpEQa6JDXCQJekRhjoktQIA12SGmGgS1IjDHRJaoSBLkmNGBroSdYn+WqSg0kOJLlpQJ/LkxxNsr/bPrQ05UqS5rNyhD4ngPdV1b4krwD2Jrm/qh6f0+/Bqrp6/CVKkkYx9A69qg5X1b5u/0fAQWDtUhcmSVqcRc2hJ9kIXAQ8PKD5siSPJLkvyYXjKE6SNLpRplwASHIO8DngvVV1bE7zPuD8qjqeZAtwL7BpwDW2A9sBNmzYcKo1S5IGGOkOPckqemH+2aq6Z257VR2rquPd/m5gVZLVA/rtrKrpqpqempo6zdIlSf1GWeUS4FPAwar62Dx9XtX1I8nm7ro/HGehkqSFjTLl8ibgHcA3k+zvzn0A2ABQVTuAa4B3JzkB/BjYVlU1/nIlSfMZGuhV9TUgQ/rcCtw6rqIkSYvnJ0UlqREGuiQ1wkCXpEYY6JLUCANdkhphoEtSIwx0SWqEgS5JjTDQJakRBrokNcJAl6RGGOiS1AgDXZIaYaBLUiMMdElqhIEuSY0w0CWpEQa6JDXCQJekRhjoktQIA12SGmGgS1IjDHRJaoSBLkmNGBroSdYn+WqSg0kOJLlpQJ8kuSXJoSSPJrl4acqVJM1n5Qh9TgDvq6p9SV4B7E1yf1U93tfnSmBTt10C3NZ9lSSdIUPv0KvqcFXt6/Z/BBwE1s7pthW4o3oeAs5Nsmbs1UqS5rWoOfQkG4GLgIfnNK0Fnuo7nuEXQ1+StIRGDvQk5wCfA95bVcfmNg94SQ24xvYke5LsmZ2dXVylkqQFjRToSVbRC/PPVtU9A7rMAOv7jtcBT8/tVFU7q2q6qqanpqZOpV5J0jxGWeUS4FPAwar62DzddgHXdatdLgWOVtXhMdYpSRpilFUubwLeAXwzyf7u3AeADQBVtQPYDWwBDgHPAdePvVJJ0oKGBnpVfY3Bc+T9fQq4cVxFLcbGm7/w/P6TH71qEiVI0lnBT4pKUiMMdElqhIEuSY0w0CWpEQa6JDXCQJekRhjoktQIA12SGmGgS1IjDHRJaoSBLkmNMNAlqREGuiQ1wkCXpEYY6JLUCANdkhphoEtSIwx0SWqEgS5JjTDQJakRBrokNcJAl6RGGOiS1AgDXZIaMTTQk9ye5EiSx+ZpvzzJ0ST7u+1D4y9TkjTMyhH6fBq4FbhjgT4PVtXVY6lIknRKht6hV9UDwDNnoBZJ0mkY1xz6ZUkeSXJfkgvHdE1J0iKMMuUyzD7g/Ko6nmQLcC+waVDHJNuB7QAbNmwYw1tLkk467Tv0qjpWVce7/d3AqiSr5+m7s6qmq2p6amrqdN9aktTntAM9yauSpNvf3F3zh6d7XUnS4gydcklyJ3A5sDrJDPBhYBVAVe0ArgHeneQE8GNgW1XVklUsSRpoaKBX1bVD2m+lt6xRkjRBflJUkhphoEtSIwx0SWqEgS5JjTDQJakRBrokNcJAl6RGGOiS1AgDXZIaYaBLUiMMdElqhIEuSY0w0CWpEQa6JDXCQJekRhjoktQIA12SGmGgS1IjDHRJaoSBLkmNMNAlqREGuiQ1wkCXpEYY6JLUCANdkhoxNNCT3J7kSJLH5mlPkluSHEryaJKLx1+mJGmYUe7QPw1csUD7lcCmbtsO3Hb6ZUmSFmtooFfVA8AzC3TZCtxRPQ8B5yZZM64CJUmjGccc+lrgqb7jme7cL0iyPcmeJHtmZ2fH8NaSpJPGEegZcK4GdayqnVU1XVXTU1NTY3hrSdJJ4wj0GWB93/E64OkxXFeStAjjCPRdwHXdapdLgaNVdXgM15UkLcLKYR2S3AlcDqxOMgN8GFgFUFU7gN3AFuAQ8Bxw/VIVK0ma39BAr6prh7QXcOPYKpIknRI/KSpJjTDQJakRBrokNcJAl6RGGOiS1AgDXZIaYaBLUiMMdElqhIEuSY0w0CWpEQa6JDXCQJekRhjoktQIA12SGmGgS1IjDHRJaoSBLkmNMNAlqREGuiQ1wkCXpEYY6JLUCANdkhphoEtSIwx0SWrESIGe5IokTyQ5lOTmAe2XJzmaZH+3fWj8pUqSFrJyWIckK4CPA78DzADfSLKrqh6f0/XBqrp6CWqUJI1glDv0zcChqvpuVf0UuAvYurRlSZIWa5RAXws81Xc8052b67IkjyS5L8mFgy6UZHuSPUn2zM7OnkK5kqT5jBLoGXCu5hzvA86vqtcDfwPcO+hCVbWzqqaranpqampRhUqSFjZKoM8A6/uO1wFP93eoqmNVdbzb3w2sSrJ6bFVKkoYaJdC/AWxKckGSFwHbgF39HZK8Kkm6/c3ddX847mIlSfMbusqlqk4keQ/wJWAFcHtVHUhyQ9e+A7gGeHeSE8CPgW1VNXdaRpK0hIYGOjw/jbJ7zrkdffu3AreOtzRJ0mL4SVFJaoSBLkmNMNAlqREGuiQ1wkCXpEYY6JLUCANdkhphoEtSIwx0SWqEgS5JjTDQJakRIz3LZbnYePMXnt9/8qNXTbASSTrzvEOXpEYY6JLUCANdkhphoEtSIwx0SWqEgS5JjTDQJakRBrokNcJAl6RGGOiS1AgDXZIaYaBLUiNGCvQkVyR5IsmhJDcPaE+SW7r2R5NcPP5SJUkLGRroSVYAHweuBF4LXJvktXO6XQls6rbtwG1jrlOSNMQoj8/dDByqqu8CJLkL2Ao83tdnK3BHVRXwUJJzk6ypqsNjr3hE/Y/SHYWP25W03I0S6GuBp/qOZ4BLRuizFvh/gZ5kO707eIDjSZ5YVLU9q4EfnMLrFpQ/H/cVx2JJxnqWcqzteiGN90yM9fz5GkYJ9Aw4V6fQh6raCewc4T3nLybZU1XTp3ON5cKxtumFNFZ4YY130mMd5ZeiM8D6vuN1wNOn0EeStIRGCfRvAJuSXJDkRcA2YNecPruA67rVLpcCRyc5fy5JL0RDp1yq6kSS9wBfAlYAt1fVgSQ3dO07gN3AFuAQ8Bxw/dKVfHpTNsuMY23TC2ms8MIa70THmt7CFEnScucnRSWpEQa6JDVi2QT6sMcPLGdJ1if5apKDSQ4kuak7/8ok9yf5Tvf1vEnXOi5JViT5tySf745bHuu5Se5O8q3ue3xZq+NN8qfdz/BjSe5M8pJWxprk9iRHkjzWd27esSV5f5dXTyT53TNR47II9BEfP7CcnQDeV1W/BVwK3NiN72bgy1W1Cfhyd9yKm4CDfcctj/WvgS9W1WuA19Mbd3PjTbIW+BNguqpeR28RxTbaGeungSvmnBs4tu7f7zbgwu41n+hybEkti0Cn7/EDVfVT4OTjB5pQVYeral+3/yN6/+DX0hvjZ7punwF+fyIFjlmSdcBVwCf7Trc61l8G3gx8CqCqflpVz9LoeOmtnHtpkpXAy+h9HqWJsVbVA8Azc07PN7atwF1V9ZOq+h69FYCbl7rG5RLo8z1aoDlJNgIXAQ8Dv3ZyPX/39VcnWNo4/RXwZ8D/9p1rday/AcwCf9tNMX0yyctpcLxV9Z/AXwDfp/fYj6NV9c80ONY+841tIpm1XAJ9pEcLLHdJzgE+B7y3qo5Nup6lkORq4EhV7Z10LWfISuBi4Laqugj4H5bvlMOCuvnjrcAFwK8DL0/y9slWNTETyazlEujNP1ogySp6Yf7ZqrqnO/3fSdZ07WuAI5Oqb4zeBPxekifpTZ29Jcnf0+ZYofezO1NVD3fHd9ML+BbH+zbge1U1W1U/A+4B3kibYz1pvrFNJLOWS6CP8viBZStJ6M2xHqyqj/U17QLe2e2/E/inM13buFXV+6tqXVVtpPd9/EpVvZ0GxwpQVf8FPJXk1d2pt9J79HSL4/0+cGmSl3U/02+l9/ugFsd60nxj2wVsS/LiJBfQ+1sRX1/yaqpqWWz0Hi3wbeDfgQ9Oup4xj+236f3v2KPA/m7bAvwKvd+cf6f7+spJ1zrmcV8OfL7bb3aswBuAPd33917gvFbHC3wE+BbwGPB3wItbGStwJ73fDfyM3h34uxYaG/DBLq+eAK48EzX60X9JasRymXKRJA1hoEtSIwx0SWqEgS5JjTDQJakRBrokNcJAl6RG/B9nTuFl/x8hUwAAAABJRU5ErkJggg==)
%%%% Output: display_data
![](data:image/png;base64,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)
%% Cell type:markdown id:b03b445e tags:
We observe that we can reduce the data by using only 3 principal components
%% Cell type:code id:6826d70c tags:
``` python
#data reduction
res = dimension_reduction(X_lin)
print(f"res shape: {res.shape}")
X_mat = res.reshape((610,340, res.shape[1]))
print(f"X_mat shape: {X_mat.shape}")
```
%%%% Output: stream
res shape: (207400, 3)
X_mat shape: (610, 340, 3)
%% Cell type:code id:904299bf tags:
``` python
#display image
plt.imshow(X_mat)
```
%%%% Output: stream
Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).
%%%% Output: execute_result
<matplotlib.image.AxesImage at 0x2310d65d1f0>
%%%% Output: display_data
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)
%% Cell type:code id:a77afe12 tags:
``` python
```
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