Introduction to Computer Vision

Week 2

This module provides a deep dive into image analysis and similarity assessment techniques. It starts by exploring the basic concept of comparing pixels, highlighting how individual pixel values can be used to gauge similarity. This is followed by a detailed discussion on comparing multiple images by their features, emphasizing the advantages of feature-based analysis over pixel-by-pixel comparison. The module introduces the concept of image moments, revealing how these statistical properties help identify shapes and patterns within images. The module then addresses similarity and distance, offering a quick overview of how these concepts are calculated and applied in image processing. You'll also learn about converting pixels into distributions, an essential technique for more complex analysis. This leads to a comprehensive explanation of cross-entropy, providing insights into its role in measuring the dissimilarity between distributions. You'll explore cross-correlation in 1D, followed by a deeper examination of cross-correlation as matrix multiplication. The module wraps up by exploring cross-correlation in more detail, with a focus on the mathematics behind it.

Week 3

This module delves into multiview geometry, a pivotal concept in computer vision and 3D modeling. It starts with a brief overview of the motivation behind multiview systems, highlighting the advantages of capturing scenes from multiple viewpoints. The module then discusses multiple coordinate systems, exploring how different reference frames can describe points and transformations in 3D space. You'll also learn about multiple viewing planes, which play a crucial role in multiview setups by providing unique perspectives for scene reconstruction. The focus shifts to multiview projection, examining how distinct images from multiple cameras can be used to create a cohesive 3D scene. You'll gain insights into the principles of translation and rotation in 3D, crucial for understanding camera movement and orientation. The module also covers camera translation and camera rotation, offering practical examples to illustrate how camera motion affects the geometry and visual representation of a scene.

Week 4

This module delves into key concepts of camera models and their role in computer vision and photogrammetry. Learn about the Extrinsic Matrix, exploring how it defines the position and orientation of a camera in 3D space. Understand the Pinhole Camera Model, a simplified optical system that forms the basis for many computer vision applications, alongside the Intrinsic Matrix, which captures the internal parameters of the camera. Epipolar geometry is examined, with a focus on its significance in 3D reconstruction and stereo vision. The module covers the motivation behind epipolar geometry, breaking down its basic components, and explaining the Essential Matrix, which encapsulates the geometric relationship between camera views, as well as the Fundamental Matrix, a core component in epipolar geometry that represents the relationship between two cameras in stereo vision.