Paper Reads

These pages consist of various summary of the paper I found variable.

Contents:

• CVX based SLAM related algorithms
  • 1. Banch and Bound
    • 1.1 Practical Global Optimization for Multiview Geometry
    • 1.2 Branch-and-Bound Methods for Euclidean Registration Problems
  • 2. Lagrangian Duality
    • 2.1 Convex Global 3D Registration with Lagrangian Duality
    • 2.2 Solving Quadratically Constrained Geometrical Problems using Lagrangian Duality
    • 2.3 Duality-based Verification Techniques for 2D SLAM
    • 2.4 Lagrangian Duality in 3D SLAM: Verification Techniques and Optimal Solutions
  • 3. TEASER++
    • 3.1 Related works
    • 3.2 Pipeline
    • 3.3 Adaptive Voting
    • 3.4 Optimality Certification
    • 3.5 GNC C++
• Douglas-Rachford Splitting Algorithm
  • 1. Splitting algorithms
    • 1.1 Peaceman-Rachford
    • 1.2 Douglas-Rachford
    • 1.3 Applications to evolution equations
  • 2. Monotonicity
    • 2.1 Proximal Algorithm
    • 2.2 DRS
    • 2.3 Splitting Operator S
    • 2.3 ADMM
    • 2.4 ECE236C
• Augmented Lagrangian and Proximal Point Algorithm
  • 1. Proximal point algorithm for P : primal
  • 2. Proximal point algorithm for D : dual
  • 3. Proximal point algorithm for Convex-concave Lagrangian
• On the Unification of Line Processes, Outlier Rejection, and Robust Statistics
  • 1. L1 Heuristic
  • 2. Line Process
  • 3. Robust Statistics
    • 3.1 Robust Estimators
    • 3.2 Robust Regularization
  • 4. Unifying Robust Estimation and Outlier Processes
    • 4.1 Outlier Processes
    • 4.2 Outlier Processes to Robust Estimator
    • 4.3 From Robust Estimators to Outlier Processes.
  • 5. Adding Spatial Interactions
• Solving TV via ADMM
  • 1. Introduction
  • 2. ADMM
  • 3. Application TV-L2
  • 3. Application TV-LP
  • 4. Image Decomposition
• Primal-Dual Mumford-Shah
  • 1. Mumford-Shah Functional
    • 1.1 Piecewise constant
    • 1.2 \(E_{\infty}\)
  • 2. Convex Relaxation
    • 2.1 Step 1
    • 2.2 Step 2
    • 2.3 Step 3
    • 2.4 Discrete Setting
    • 2.5 Primal-Dual method
  • 3. First-order Primal-Dual
    • 3.1 Primal-Dual formulation
    • 3.2 Algorithm