Camera Calibration of a Checkerboard, Using Linear Algebra
In this project, the learners have to perform a camera calibration of grids with the implementation of linear algebra and also have to write and compare different codes to perform …
- Duration
- 12 weeks
- Content
- 20 hours
- Projects
- 2
- Mode
- Online
OverviewWhat you'll
What you'll
be able to do.
- The course starts with a basic introduction to linear systems and their graphical interpretations.
- It explains some important concepts about vector spaces, and it deals with a few concepts from statistics, such as least squares methods and linear regressions.
- It provides some knowledge on curve fitting and an introduction to ordinary and partial differential equations.
- It provides detailed ideas related to state space methods in control theory, followed by crucial ideas on spectral graph theory.
- Overall, it covers the linear algebra aspects of computer vision, control theory, and graphical modelling.
Curriculum12 modules,
12 modules,
built with industry.
01Linear Algebra
- Linear Equations and Matrix AlgebraW01
- System of Linear Equations
- Consistent and Inconsistent Systems
- Matrix Formations
- Types of Matrices
- Sparse Matrix
- Matrix Arithmetic
- Determinants
- Matrix Inversions
- Matrix Operations and VectorsW02
- Matrix Operations
- Gaussian Elimination
- Row Reduced Echelon Form
- Gauss-Jordan for Inverse
- Introduction to Vectors and Vector Arithmetic
- Vector Spaces, Subspaces, Introduction to BasesW03
- Introduction to Vector Spaces
- Vector Operations
- Subspaces
- Linear Combinations
- Linearly Dependent and Independent Vectors
- Geometric Interpretations
- Bases and Dimensions, Row-EquivalenceW04
- A Span of a Set of Vectors
- Basis of a Vector Space
- Dimension of a Vector Space
- Row-Equivalence Revisited
- Introduction to Transformations
- Linear TransformationsW05
- Linear Transformations of Vector Spaces
- Domain and Range
- Null Space
- Rank and Nullity
- Rank-Nullity Theorem
- Representation of Transformation Matrices
- Rotation, Reflection, and Translation
- Orthogonal Projection, Orthonormal Basis, Eigenvalues and EigenvectorsW06
- Orthogonal Projection and Orthonormal Basis
- Euclidean Transformation
- Introduction to Polynomials
- Characteristic Polynomials
- Eigenvalues and Eigenvectors, Eigenspaces
- Similarity Transformation and Diagonalization, SVD, PCA, LSMW07
- Similarity Transformations
- Diagonal Matrices
- Diagonalizations
- Eigendecomposition
- Singular Value Decomposition
- Principal Component Analysis
- Least Square Method
- Partial Differential Equations, Taylor Series, Fourier and Laplace TransformationsW08
- Introduction to Partial Differential Equations and Solving Methods
- Taylor Series Expansion
- Fourier and Laplace Transformations
- State Space Models, Digital Control Systems, Realization TheoryW09
- Introduction to State-Space Models
- Introduction to Digital Control System and its Structure
- The z-transformation
- Realizations of State-Space Models
- Introduction to Spectral Graph TheoryW10
- Introduction to Graphs and their Properties
- Adjacency Matrix and Related Theorems
- Corollaries and Observations
- The Spectrum of a Graph
- Spectral Graph TheoryW11
- Positive Semi-Definite and Positive Definite Matrices
- Line Graphs and Associated Incidence Matrices
- A Subgraph of a Graph and their Adjacency Matrices
- A Spectrum of Subgraphs Compared to the Graphs
- Linear Algebra Summary and Research IdeasW12
- Revision of All the Previously Discussed Ideas
- Applications of Matrices and Linear Algebra in Predicting Sports Ranking
- Ongoing Research Works
- Linear Equations and Matrix AlgebraW01
Industry projects2 projects
2 projects
you'll ship.
Our projects are designed by experts in the industry to reflect industry standards. By working through our projects, Learners will gain a practical understanding of what they will take on at a larger-scale in the industry. In total, there are 2 Projects that are available in this program.
An Approach to Networks and Small World Models Using Graph Theory
In this project, the learners will apply the knowledge of graph theory and linear algebra by extending them to real-world problems, modelling them, and implementing them in a chall…
FeeOne fee.
One fee.
Everything included.
Become job ready with our comprehensive industry focused curriculum for freshers & early career professionals
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Inclusive of all charges- 1 Year Access
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- Live Individual & Group Sessions
- Personalized & Hands-On
- Job-Oriented Industry Relevant Curriculum
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