From 93e69faff833ea79383bb5305bfa2bb4761e3087 Mon Sep 17 00:00:00 2001
From: thesebsterseb <sebastian.zimmermann@fau.de>
Date: Mon, 12 May 2025 12:34:39 +0200
Subject: [PATCH] Added Exercise 1 files
---
Exercise_1/IntroML_Exercise1.pdf | Bin 0 -> 1260193 bytes
Exercise_1/data/contrast.jpg | Bin 0 -> 350183 bytes
Exercise_1/data/hello.png | Bin 0 -> 139491 bytes
Exercise_1/data/hello_gaussian.png | Bin 0 -> 325232 bytes
Exercise_1/data/hello_poisson.png | Bin 0 -> 341884 bytes
Exercise_1/data/hello_salt_pepper.png | Bin 0 -> 162033 bytes
Exercise_1/data/hello_uniform.png | Bin 0 -> 335056 bytes
Exercise_1/data/kitty.png | Bin 0 -> 189005 bytes
Exercise_1/data/runes.png | Bin 0 -> 1526582 bytes
Exercise_1/histogram_equalization.py | 76 +++++++++++++++++++++
Exercise_1/noise.py | 94 ++++++++++++++++++++++++++
Exercise_1/otsu.py | 76 +++++++++++++++++++++
12 files changed, 246 insertions(+)
create mode 100644 Exercise_1/IntroML_Exercise1.pdf
create mode 100644 Exercise_1/data/contrast.jpg
create mode 100644 Exercise_1/data/hello.png
create mode 100644 Exercise_1/data/hello_gaussian.png
create mode 100644 Exercise_1/data/hello_poisson.png
create mode 100644 Exercise_1/data/hello_salt_pepper.png
create mode 100644 Exercise_1/data/hello_uniform.png
create mode 100644 Exercise_1/data/kitty.png
create mode 100644 Exercise_1/data/runes.png
create mode 100644 Exercise_1/histogram_equalization.py
create mode 100644 Exercise_1/noise.py
create mode 100644 Exercise_1/otsu.py
diff --git a/Exercise_1/IntroML_Exercise1.pdf b/Exercise_1/IntroML_Exercise1.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..87b08b72f25046f1797da6096e16a5683817bec6
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diff --git a/Exercise_1/histogram_equalization.py b/Exercise_1/histogram_equalization.py
new file mode 100644
index 0000000..a5c7591
--- /dev/null
+++ b/Exercise_1/histogram_equalization.py
@@ -0,0 +1,76 @@
+import numpy as np
+import cv2
+import matplotlib.pyplot as plt
+
+
+def load_image(path: str) -> np.ndarray:
+ # Load the image using CV2 and return it.
+ loaded_image = cv2.imread(path, cv2.IMREAD_GRAYSCALE)
+ if loaded_image is None:
+ raise FileNotFoundError(f"Cannot load image at {path}")
+ return loaded_image
+
+
+def compute_histogram(image: np.ndarray) -> np.ndarray:
+ # ToDo: Create a histogram for the given image (256 values).
+ # ToDo: Don't use functions like np.histogram.
+ # ToDo: It is easier if you flatten your image first.
+ histogram = np.zeros(0)
+ return histogram
+
+
+def compute_cdf(histogram: np.ndarray) -> np.ndarray:
+ # ToDo: Compute the CDF.
+ # ToDo: Don't forget to normalize it (turn it into a distribution).
+ cdf = np.zeros(0)
+ return cdf
+
+
+def equalize_image(image: np.ndarray, cdf: np.ndarray) -> np.ndarray:
+ # ToDo: Apply histogram equalization to the given image.
+ # ToDo: Hint: Flatten the image first and reshape it again in the end.
+ equalized_image = np.zeros(0)
+ return equalized_image
+
+
+def save_image(image: np.ndarray, path: str) -> None:
+ # Save the image to the given folder.
+ cv2.imwrite(path, image)
+
+
+def show_images(original_image: np.ndarray, equalized_image: np.ndarray) -> None:
+ # ToDo: Display the original and the equalized images next to each other.
+ plt.figure(figsize=(10, 5))
+ plt.subplot(1, 2, 1)
+ plt.imshow(original_image, cmap='gray')
+ plt.title('Original Image')
+ plt.axis('off')
+
+ plt.subplot(1, 2, 2)
+ plt.imshow(equalized_image, cmap='gray')
+ plt.title('Equalized Image')
+ plt.axis('off')
+
+ plt.tight_layout()
+ plt.show()
+
+
+def histogram_equalization(input_path: str, output_path: str) -> None:
+ # ToDo: Combine the different functions into one.
+ loaded_image = load_image(input_path)
+ histogram = compute_histogram(loaded_image)
+ cdf = compute_cdf(histogram)
+ equalized_image = equalize_image(loaded_image, cdf)
+ save_image(equalized_image, output_path)
+
+
+if __name__ == '__main__':
+ # Load the images and perform histogram equalization.
+ input_image_path = 'data/hello.png'
+ output_image_path = 'data/kitty.png'
+ histogram_equalization(input_image_path, output_image_path)
+
+ # Show the images next to each other.
+ original = load_image(input_image_path)
+ equalized = load_image(output_image_path)
+ show_images(original, equalized)
diff --git a/Exercise_1/noise.py b/Exercise_1/noise.py
new file mode 100644
index 0000000..e4fcd35
--- /dev/null
+++ b/Exercise_1/noise.py
@@ -0,0 +1,94 @@
+import numpy as np
+import cv2
+import matplotlib.pyplot as plt
+
+
+def load_image(file_path: str) -> np.ndarray:
+ # Load the image (either gray or colour).
+ loaded_image = cv2.imread(file_path, cv2.IMREAD_UNCHANGED)
+ if loaded_image is None:
+ raise FileNotFoundError(f"Cannot load image at {file_path}")
+ return loaded_image
+
+
+def save_image(image: np.ndarray, file_path: str) -> None:
+ # Save the image.
+ cv2.imwrite(file_path, image)
+
+
+def add_gaussian_noise(image: np.ndarray, mean: float = 0.0, sigma: float = 10.0) -> np.ndarray:
+ # ToDo: Generate gaussian noise and add it to the image.
+ # ToDo: Hint: Look at the options among np.random to generate the noise.
+ # ToDo: Hint: Don't forget to clip the values.
+ return image
+
+
+def add_salt_and_pepper_noise(image: np.ndarray, salt_prob: float = 0.01, pepper_prob: float = 0.01) -> np.ndarray:
+ # ToDo: Generate random salt and pepper noise based on the provided probabilities.
+ # ToDo: Hint: Look at the options among np.random to generate the noise.
+ return image
+
+
+def add_poisson_noise(image: np.ndarray) -> np.ndarray:
+ # ToDo: Add poisson noise to the image.
+ # ToDo: Hint: Look at the options among np.random to generate the noise.
+ return image
+
+
+def add_uniform_noise(image: np.ndarray, low: float = -20.0, high: float = 20.0) -> np.ndarray:
+ # ToDo: Add uniform noise to the image, which is sampled uniformly from the available values.
+ # ToDo: Hint: Look at the options among np.random to generate the noise.
+ return image
+
+
+def display_images(original: np.ndarray, processed: np.ndarray, title: str) -> None:
+ # Transform the colour image (BGR) into an RGB image.
+ def to_rgb(image):
+ return cv2.cvtColor(image, cv2.COLOR_BGR2RGB) if image.ndim == 3 else image
+
+ adapted_original_image = to_rgb(original)
+ adapted_noise_image = to_rgb(processed)
+
+ plt.figure(figsize=(10, 5))
+ plt.subplot(1, 2, 1)
+ plt.imshow(adapted_original_image, cmap=None if adapted_original_image.ndim == 3 else 'gray')
+ plt.title('Original')
+ plt.axis('off')
+
+ plt.subplot(1, 2, 2)
+ plt.imshow(adapted_noise_image, cmap=None if adapted_noise_image.ndim == 3 else 'gray')
+ plt.title(title)
+ plt.axis('off')
+
+ plt.tight_layout()
+ plt.show()
+
+
+if __name__ == '__main__':
+ # Example usage
+ input_file = 'data/hello.png'
+ gaussian_file = 'data/hello_gaussian.png'
+ salt_pepper_file = 'data/hello_salt_pepper.png'
+ poisson_file = 'data/hello_poisson.png'
+ uniform_file = 'data/hello_uniform.png'
+
+ original_image = load_image(input_file)
+
+ # Apply noise to the images.
+ gaussian = add_gaussian_noise(original_image)
+ save_image(gaussian, gaussian_file)
+
+ salt_pepper = add_salt_and_pepper_noise(original_image)
+ save_image(salt_pepper, salt_pepper_file)
+
+ poisson = add_poisson_noise(original_image)
+ save_image(poisson, poisson_file)
+
+ uniform = add_uniform_noise(original_image)
+ save_image(uniform, uniform_file)
+
+ # Display the images side by side.
+ display_images(original_image, gaussian, 'Gaussian Noise')
+ display_images(original_image, salt_pepper, 'Salt & Pepper Noise')
+ display_images(original_image, poisson, 'Poisson Noise')
+ display_images(original_image, uniform, 'Uniform Noise')
diff --git a/Exercise_1/otsu.py b/Exercise_1/otsu.py
new file mode 100644
index 0000000..86e3ce7
--- /dev/null
+++ b/Exercise_1/otsu.py
@@ -0,0 +1,76 @@
+import numpy as np
+import cv2
+import matplotlib.pyplot as plt
+
+
+def compute_histogram(image: np.ndarray) -> np.ndarray:
+ # ToDo: Compute a grayscale histogram with 256 bins.
+ histogram = np.zeros(0)
+ return histogram
+
+
+def p_helper(prob: np.ndarray, theta: int) -> tuple[float, float]:
+ # ToDo: Compute the class probabilities p0 and p1 for the current threshold theta.
+ p0 = 0.0
+ p1 = 0.0
+ return p0, p1
+
+
+def mu_helper(prob: np.ndarray, theta: int, p0: float, p1: float) -> tuple[float, float]:
+ # ToDo: Compute the class means mu0 and mu1 for the current threshold theta.
+ mu0 = 0.0
+ mu1 = 0.0
+ return mu0, mu1
+
+
+def otsu_threshold(histogram: np.ndarray) -> int:
+ # ToDo: Compute Otsu's threshold from a histogram using p_helper and mu_helper.
+ # ToDo: Normalize the histogram to its probabilities (PDF).
+ prob = histogram.astype(np.float64)
+
+ # ToDo: Iterate over all possible thresholds, select the best one.
+ # ToDo: Hint: Skip invalid splits (p0 == 0 or p1 == 0).
+ max_variance = 0.0
+ best_threshold = 0
+
+ return best_threshold
+
+
+def otsu_binarize(image: np.ndarray) -> tuple[np.ndarray, int]:
+ # ToDo: Binarize the threshold image.
+ # ToDo: Simply combine the existing functions.
+ theta = 0
+ new_image = np.zeros(0)
+ return new_image, theta
+
+
+def custom_binarization(image: np.ndarray, theta: int) -> tuple[np.ndarray, int]:
+ # ToDo: Binarize the image with a custom value.
+ new_image = np.where(image > theta, 255, 0).astype(np.uint8)
+ return new_image, theta
+
+
+if __name__ == '__main__':
+ # Load grayscale image.
+ loaded_image = cv2.imread('data/runes.png', cv2.IMREAD_GRAYSCALE)
+ if loaded_image is None:
+ raise FileNotFoundError("Cannot load the image.")
+
+ # Compute Otsu's binarization or perform a custom binarization. Comment out one of the options.
+ # binarized_image, threshold = otsu_binarize(loaded_image)
+ binarized_image, threshold = custom_binarization(loaded_image, 180)
+
+ # Display the original and the binarized image next to each other.
+ plt.figure(figsize=(8, 4))
+ plt.subplot(1, 2, 1)
+ plt.imshow(loaded_image, cmap='gray')
+ plt.title('Original')
+ plt.axis('off')
+
+ plt.subplot(1, 2, 2)
+ plt.imshow(binarized_image, cmap='gray')
+ plt.title(f"Otsu Binarization (t={threshold})")
+ plt.axis('off')
+
+ plt.tight_layout()
+ plt.show()
--
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