Key Engineering Takeaways
- •Visual Odometry estimates frame-to-frame incremental camera poses without building a global persistent map or running loop closure.
- •The Essential Matrix E = [t]ₓ R connects corresponding normalized image coordinates: x₂ᵀ E x₁ = 0.
- •Decomposing E via Singular Value Decomposition (SVD) produces 4 possible [R|t] solutions; cheirality check selects the one where 3D points lie in front of both cameras.
Prerequisites
- • Linear algebra
- • OpenCV feature detectors
Computing Essential Matrix E & Recovering [R|t]
Epipolar geometry governs the relationship between two views. Using the 5-point or 8-point algorithm inside RANSAC, the Essential Matrix $\mathbf{E}$ is computed and decomposed into rotation $\mathbf{R} \in SO(3)$ and unit translation $\mathbf{t}$.
Tags:#Visual Odometry#ORB#SLAM#Epipolar Geometry#Essential Matrix#Feature Matching