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Main Authors: Peng, Zhexi, Yang, Yin, Shao, Tianjia, Jiang, Chenfanfu, Zhou, Kun
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2405.02187
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author Peng, Zhexi
Yang, Yin
Shao, Tianjia
Jiang, Chenfanfu
Zhou, Kun
author_facet Peng, Zhexi
Yang, Yin
Shao, Tianjia
Jiang, Chenfanfu
Zhou, Kun
contents We present X-SLAM, a real-time dense differentiable SLAM system that leverages the complex-step finite difference (CSFD) method for efficient calculation of numerical derivatives, bypassing the need for a large-scale computational graph. The key to our approach is treating the SLAM process as a differentiable function, enabling the calculation of the derivatives of important SLAM parameters through Taylor series expansion within the complex domain. Our system allows for the real-time calculation of not just the gradient, but also higher-order differentiation. This facilitates the use of high-order optimizers to achieve better accuracy and faster convergence. Building on X-SLAM, we implemented end-to-end optimization frameworks for two important tasks: camera relocalization in wide outdoor scenes and active robotic scanning in complex indoor environments. Comprehensive evaluations on public benchmarks and intricate real scenes underscore the improvements in the accuracy of camera relocalization and the efficiency of robotic navigation achieved through our task-aware optimization. The code and data are available at https://gapszju.github.io/X-SLAM.
format Preprint
id arxiv_https___arxiv_org_abs_2405_02187
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle X-SLAM: Scalable Dense SLAM for Task-aware Optimization using CSFD
Peng, Zhexi
Yang, Yin
Shao, Tianjia
Jiang, Chenfanfu
Zhou, Kun
Robotics
We present X-SLAM, a real-time dense differentiable SLAM system that leverages the complex-step finite difference (CSFD) method for efficient calculation of numerical derivatives, bypassing the need for a large-scale computational graph. The key to our approach is treating the SLAM process as a differentiable function, enabling the calculation of the derivatives of important SLAM parameters through Taylor series expansion within the complex domain. Our system allows for the real-time calculation of not just the gradient, but also higher-order differentiation. This facilitates the use of high-order optimizers to achieve better accuracy and faster convergence. Building on X-SLAM, we implemented end-to-end optimization frameworks for two important tasks: camera relocalization in wide outdoor scenes and active robotic scanning in complex indoor environments. Comprehensive evaluations on public benchmarks and intricate real scenes underscore the improvements in the accuracy of camera relocalization and the efficiency of robotic navigation achieved through our task-aware optimization. The code and data are available at https://gapszju.github.io/X-SLAM.
title X-SLAM: Scalable Dense SLAM for Task-aware Optimization using CSFD
topic Robotics
url https://arxiv.org/abs/2405.02187