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Find the Minimum Stretching Direction of Positive Definite Matrices
Part 4 of the comprehensive tutorial series on image formation and camera calibration in Python
Before moving ahead into camera calibration, let’s discuss some of the properties of positive definite matrices and matrices in general. We’re going to use these properties when calibrating the camera.
Eigenvalues and Eigenvectors
Let 𝐴 be a matrix of shape 𝑚 x 𝑛, and 𝑥⃗ be a vector of size 𝑛. Then 𝑥⃗ is the eigenvector of 𝐴 if 𝐴𝑥⃗ = 𝜆𝑥⃗, where 𝜆 is …