1.4.7 Subspaces in Image Processing
| Week | Course Content | Course Video |
|---|---|---|
| CH1 Fundamentals of Linear Algebra CH1.1 Matrix Basics and Image Representation | ||
| 1 | 1.1.1 Definition and Notation of Matrices | Watch Online |
| 2 | 1.1.2 Relationship Between Matrices and Images | Watch Online |
| 3 | 1.1.3 Converting Images to Matrices: A Practical Implementation | Watch Online |
| CH1.2 Matrix Addition and Scalar Multiplication | ||
| 4 | 1.2.1 Matrix Addition | Watch Online |
| 5 | 1.2.2 Applications of Matrix Addition in Image Processing | Watch Online |
| 6 | 1.2.3 Scalar Multiplication of a Matrix | Watch Online |
| 7 | 1.2.4 Applications of Scalar Multiplication in Image Processing | Watch Online |
| CH1.3 Matrix Multiplication | ||
| 8 | 1.3.1 Definition of Matrix Multiplication | Watch Online |
| 9 | 1.3.2 Matrix-Vector Multiplication | Watch Online |
| 10 | 1.3.3 Properties of Matrix Multiplication | Watch Online |
| 11 | 1.3.4 Identity Matrix and Zero Matrix | Watch Online |
| CH1.4 Linear Combination of Vectors | ||
| 12 | 1.4.1 Mathematical Formulation and Operations of Linear Combination | Watch Online |
| 13 | 1.4.2 Applications of Linear Combination in Image Processing | Watch Online |
| 14 | 1.4.3 Vector Spaces | Watch Online |
| 15 | 1.4.4 Matrix Spaces | Watch Online |
| 16 | 1.4.5 Dimension of a Vector Space | Watch Online |
| 17 | 1.4.6 Subspaces and Their Characterization | Watch Online |
| 18 | 1.4.7 Subspaces in Image Processing | Watch Online |
| CH2 An Introduction to Matrix Analysis CH2.1 Linear Dependence and Linear Independence | ||
| 19 | 2.1.1 Definition of Linear Dependence and Independence | Watch Online |
| 20 | 2.1.2 Linear Dependence in Image Data | Watch Online |
| CH2.2 Basis and Dimension: Describing Directionality in Image Dat | ||
| 21 | 2.2.1 What Is Span? Understanding Space Generation from Vectors | Watch Online |
| 22 | 2.2.2 Basis and Dimension | Watch Online |
| 23 | 2.2.3 Interpreting Dimension in Image Data | Watch Online |
| CH2.3 What Is Rank? An Intuitive Perspective | ||
| 24 | 2.3.1 Intuitive Meaning of Rank | Watch Online |
| 25 | 2.3.2 Geometric View and Implementation of Rank-One Matrices | Watch Online |
| 26 | 2.3.3 Outer Product of Vectors | Watch Online |
| CH2.4 Matrix Rank | ||
| 27 | 2.4.1 Intuitive Meaning of Rank (Revisited) | Watch Online |
| 28 | 2.4.2 Low-Rank Background and Sparse Foreground Model | Watch Online |
| 29 | 2.4.3 The Significance of Low-Rank Matrices | Watch Online |
| 30 | 2.4.4 Introduction to Sparse Matrix Concepts | Watch Online |
| 31 | Getting Started with Anaconda: Installation and Basic Usage | Watch Online |
COURSE
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