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We propose a new bundle-based augmented Lagrangian framework for solving constrained convex problems. Unlike the classical (inexact) augmented Lagrangian method (ALM) that has a nested double-loop structure, our framework features a…

最优化与控制 · 数学 2025-02-14 Feng-Yi Liao , Yang Zheng

LiDAR bundle adjustment (BA) is an effective approach to reduce the drifts in pose estimation from the front-end. Existing works on LiDAR BA usually rely on predefined geometric features for landmark representation. This reliance restricts…

计算机视觉与模式识别 · 计算机科学 2025-04-07 Xingyu Ji , Shenghai Yuan , Jianping Li , Pengyu Yin , Haozhi Cao , Lihua Xie

Global bundle adjustment is made easy by depth prediction and convex optimization. We (i) propose a scaled bundle adjustment (SBA) formulation that lifts 2D keypoint measurements to 3D with learned depth, (ii) design an empirically tight…

机器人学 · 计算机科学 2025-07-02 Haoyu Han , Heng Yang

Bundle methods have been intensively studied for solving both convex and nonconvex optimization problems. In most of the bundle methods developed thus far, at least one quadratic programming (QP) subproblem needs to be solved in each…

最优化与控制 · 数学 2015-07-08 Shuai Liu , Andrew Eberhard , Yousong Luo

Reconstructing 3D shapes from a sequence of images has long been a problem of interest in computer vision. Classical Structure from Motion (SfM) methods have attempted to solve this problem through projected point displacement \& bundle…

计算机视觉与模式识别 · 计算机科学 2017-11-07 Rui Zhu , Chaoyang Wang , Chen-Hsuan Lin , Ziyan Wang , Simon Lucey

The proximal bundle method (PBM) is a fundamental and computationally effective algorithm for solving optimization problems with nonsmooth components. In this paper, we conduct a theoretical investigation of a modified proximal bundle…

最优化与控制 · 数学 2025-05-13 David Fersztand , Xu Andy Sun

This paper introduces a novel targetless method for joint intrinsic and extrinsic calibration of LiDAR-camera systems using plane-constrained bundle adjustment (BA). Our method leverages LiDAR point cloud measurements from planes in the…

机器人学 · 计算机科学 2023-08-25 Liang Li , Haotian Li , Xiyuan Liu , Dongjiao He , Ziliang Miao , Fanze Kong , Rundong Li , Zheng Liu , Fu Zhang

We propose a robust and fast bundle adjustment solution that estimates the 6-DoF pose of the camera and the geometry of the environment based on measurements from a rolling shutter (RS) camera. This tackles the challenges in the existing…

计算机视觉与模式识别 · 计算机科学 2023-04-19 Bangyan Liao , Delin Qu , Yifei Xue , Huiqing Zhang , Yizhen Lao

In this paper, we develop a parameterized proximal point algorithm (P-PPA) for solving a class of separable convex programming problems subject to linear and convex constraints. The proposed algorithm is provable to be globally convergent…

最优化与控制 · 数学 2018-12-11 Jianchao Bai , Hongchao Zhang , Jicheng Li

The bundle adjustment (BA) algorithm is a widely used nonlinear optimization technique in the backend of Simultaneous Localization and Mapping (SLAM) systems. By leveraging the co-view relationships of landmarks from multiple perspectives,…

计算机视觉与模式识别 · 计算机科学 2024-09-24 Tingchen Ma , Yongsheng Ou , Sheng Xu

We tackle the problem of mosaicing bundle adjustment (i.e., simultaneous refinement of camera orientations and scene map) for a purely rotating event camera. We formulate the problem as a regularized non-linear least squares optimization.…

计算机视觉与模式识别 · 计算机科学 2025-01-22 Shuang Guo , Guillermo Gallego

Structure-from-Motion (SfM) is a fundamental 3D vision task for recovering camera parameters and scene geometry from multi-view images. While recent deep learning advances enable accurate Monocular Depth Estimation (MDE) from single images…

计算机视觉与模式识别 · 计算机科学 2026-02-24 Shengjie Zhu , Ahmed Abdelkader , Mark J. Matthews , Xiaoming Liu , Wen-Sheng Chu

Reconstructing an accurate and consistent large-scale LiDAR point cloud map is crucial for robotics applications. The existing solution, pose graph optimization, though it is time-efficient, does not directly optimize the mapping…

机器人学 · 计算机科学 2022-09-27 Xiyuan Liu , Zheng Liu , Fanze Kong , Fu Zhang

We investigate the proximal point algorithm (PPA) and its inexact extensions under an error bound condition, which guarantees a global linear convergence if the proximal regularization parameter is larger than the error bound condition…

最优化与控制 · 数学 2021-02-26 Meng Lu , Zheng Qu

A core component of all Structure from Motion (SfM) approaches is bundle adjustment. As the latter is a computational bottleneck for larger blocks, parallel bundle adjustment has become an active area of research. Particularly,…

计算机视觉与模式识别 · 计算机科学 2019-10-21 Helmut Mayer

Most Bundle Adjustment (BA) solvers like the Levenberg-Marquardt algorithm require a good initialization. Instead, initialization-free BA remains a largely uncharted territory. The under-explored Variable Projection algorithm (VarPro)…

计算机视觉与模式识别 · 计算机科学 2024-08-14 Simon Weber , Je Hyeong Hong , Daniel Cremers

Simultaneous Localization and Mapping (SLAM) using 3D LiDAR has emerged as a cornerstone for autonomous navigation in robotics. While feature-based SLAM systems have achieved impressive results by leveraging edge and planar structures, they…

机器人学 · 计算机科学 2026-02-09 Xinran Li , Shuaikang Zheng , Pengcheng Zheng , Xinyang Wang , Jiacheng Li , Zhitian Li , Xudong Zou

In this paper, we consider constrained optimization problems with convex, smooth objective and constraints. We propose a new stochastic gradient algorithm, called the Stochastic Moving Ball Approximation (SMBA) method, to solve this class…

最优化与控制 · 数学 2024-12-03 Nitesh Kumar Singh , Ion Necoara

Scaling to arbitrarily large bundle adjustment problems requires data and compute to be distributed across multiple devices. Centralized methods in prior works are only able to solve small or medium size problems due to overhead in…

计算机视觉与模式识别 · 计算机科学 2023-08-10 Taosha Fan , Joseph Ortiz , Ming Hsiao , Maurizio Monge , Jing Dong , Todd Murphey , Mustafa Mukadam

Point cloud maps with accurate color are crucial in robotics and mapping applications. Existing approaches for producing RGB-colorized maps are primarily based on real-time localization using filter-based estimation or sliding window…

机器人学 · 计算机科学 2024-09-18 Rundong Li , Xiyuan Liu , Haotian Li , Zheng Liu , Jiarong Lin , Yixi Cai , Fu Zhang