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arxiv:2204.12834

Power Bundle Adjustment for Large-Scale 3D Reconstruction

Published on Apr 17, 2023
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Abstract

Power Bundle Adjustment introduces a new inverse expansion method for large-scale bundle adjustment problems using power series expansion of the inverse Schur complement, demonstrating accelerated normal equation solution and improved distributed optimization performance.

We introduce Power Bundle Adjustment as an expansion type algorithm for solving large-scale bundle adjustment problems. It is based on the power series expansion of the inverse Schur complement and constitutes a new family of solvers that we call inverse expansion methods. We theoretically justify the use of power series and we prove the convergence of our approach. Using the real-world BAL dataset we show that the proposed solver challenges the state-of-the-art iterative methods and significantly accelerates the solution of the normal equation, even for reaching a very high accuracy. This easy-to-implement solver can also complement a recently presented distributed bundle adjustment framework. We demonstrate that employing the proposed Power Bundle Adjustment as a sub-problem solver significantly improves speed and accuracy of the distributed optimization.

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