Generalized Maximum Likelihood Estimation for Perspective-n-Point Problem
- URL: http://arxiv.org/abs/2408.01945v1
- Date: Sun, 4 Aug 2024 07:06:04 GMT
- Title: Generalized Maximum Likelihood Estimation for Perspective-n-Point Problem
- Authors: Tian Zhan, Chunfeng Xu, Cheng Zhang, Ke Zhu,
- Abstract summary: Existing methods ignore the anisotropy uncertainty of observations, as demonstrated in several real-world datasets in this paper.
We propose a generalized maximum likelihood solver, named GML, that minimizes the criterion by it achieves better translation accuracy.
It is more accurate under very noisy observations in vision-based UAV task, outperforming the best baseline by 34.4% in translation estimation.
- Score: 11.662329798571953
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The Perspective-n-Point (PnP) problem has been widely studied in the literature and applied in various vision-based pose estimation scenarios. However, existing methods ignore the anisotropy uncertainty of observations, as demonstrated in several real-world datasets in this paper. This oversight may lead to suboptimal and inaccurate estimation, particularly in the presence of noisy observations. To this end, we propose a generalized maximum likelihood PnP solver, named GMLPnP, that minimizes the determinant criterion by iterating the GLS procedure to estimate the pose and uncertainty simultaneously. Further, the proposed method is decoupled from the camera model. Results of synthetic and real experiments show that our method achieves better accuracy in common pose estimation scenarios, GMLPnP improves rotation/translation accuracy by 4.7%/2.0% on TUM-RGBD and 18.6%/18.4% on KITTI-360 dataset compared to the best baseline. It is more accurate under very noisy observations in a vision-based UAV localization task, outperforming the best baseline by 34.4% in translation estimation accuracy.
Related papers
- Software Fault Localization Based on Multi-objective Feature Fusion and Deep Learning [1.6724380665811045]
Software fault localization remains challenging due to limited feature diversity and low precision in traditional methods.
This paper proposes a novel approach that integrates multi-objective optimization with deep learning models to improve both accuracy and efficiency in fault localization (FL)
arXiv Detail & Related papers (2024-11-26T04:37:32Z) - Precise Model Benchmarking with Only a Few Observations [6.092112060364272]
We propose an empirical Bayes (EB) estimator that balances direct and regression estimates for each subgroup separately.
EB consistently provides more precise estimates of the LLM performance compared to the direct and regression approaches.
arXiv Detail & Related papers (2024-10-07T17:26:31Z) - Probabilistic Parameter Estimators and Calibration Metrics for Pose Estimation from Image Features [30.85393323542915]
This paper addresses the challenge of probabilistic parameter estimation given measurement uncertainty in real-time.
We present three probabilistic parameter estimators: a least-squares sampling approach, a linear approximation method, and a probabilistic programming estimator.
We demonstrate that the linear approximation estimator can produce sharp and well-calibrated pose predictions significantly faster than the other methods but may yield overconfident predictions in certain scenarios.
arXiv Detail & Related papers (2024-07-23T07:02:01Z) - Uncertainty-Aware Testing-Time Optimization for 3D Human Pose Estimation [68.75387874066647]
We propose an Uncertainty-Aware testing-time optimization framework for 3D human pose estimation.
Our approach outperforms the previous best result by a large margin of 4.5% on Human3.6M.
arXiv Detail & Related papers (2024-02-04T04:28:02Z) - A Finite-Horizon Approach to Active Level Set Estimation [0.7366405857677227]
We consider the problem of active learning in the context of spatial sampling for level set estimation (LSE)
We present a finite-horizon search procedure to perform LSE in one dimension while optimally balancing both the final estimation error and the distance traveled for a fixed number of samples.
We show that the resulting optimization problem can be solved in closed form and that the resulting policy generalizes existing approaches to this problem.
arXiv Detail & Related papers (2023-10-18T14:11:41Z) - Toward Reliable Human Pose Forecasting with Uncertainty [51.628234388046195]
We develop an open-source library for human pose forecasting, including multiple models, supporting several datasets.
We devise two types of uncertainty in the problem to increase performance and convey better trust.
arXiv Detail & Related papers (2023-04-13T17:56:08Z) - Uncertainty-Aware Instance Reweighting for Off-Policy Learning [63.31923483172859]
We propose a Uncertainty-aware Inverse Propensity Score estimator (UIPS) for improved off-policy learning.
Experiment results on synthetic and three real-world recommendation datasets demonstrate the advantageous sample efficiency of the proposed UIPS estimator.
arXiv Detail & Related papers (2023-03-11T11:42:26Z) - The Probabilistic Normal Epipolar Constraint for Frame-To-Frame Rotation
Optimization under Uncertain Feature Positions [53.478856119297284]
We introduce the probabilistic normal epipolar constraint (PNEC) that overcomes the limitation by accounting for anisotropic and inhomogeneous uncertainties in the feature positions.
In experiments on synthetic data, we demonstrate that the novel PNEC yields more accurate rotation estimates than the original NEC.
We integrate the proposed method into a state-of-the-art monocular rotation-only odometry system and achieve consistently improved results for the real-world KITTI dataset.
arXiv Detail & Related papers (2022-04-05T14:47:11Z) - Uncertainty-Aware Camera Pose Estimation from Points and Lines [101.03675842534415]
Perspective-n-Point-and-Line (Pn$PL) aims at fast, accurate and robust camera localizations with respect to a 3D model from 2D-3D feature coordinates.
arXiv Detail & Related papers (2021-07-08T15:19:36Z) - Amortized Conditional Normalized Maximum Likelihood: Reliable Out of
Distribution Uncertainty Estimation [99.92568326314667]
We propose the amortized conditional normalized maximum likelihood (ACNML) method as a scalable general-purpose approach for uncertainty estimation.
Our algorithm builds on the conditional normalized maximum likelihood (CNML) coding scheme, which has minimax optimal properties according to the minimum description length principle.
We demonstrate that ACNML compares favorably to a number of prior techniques for uncertainty estimation in terms of calibration on out-of-distribution inputs.
arXiv Detail & Related papers (2020-11-05T08:04:34Z) - Towards High Performance Low Complexity Calibration in Appearance Based
Gaze Estimation [7.857571508499849]
Appearance-based gaze estimation from RGB images provides relatively unconstrained gaze tracking.
We analyze the effect of the number of gaze targets, the number of images used per gaze target and the number of head positions in calibration data.
Using only a single gaze target and single head position is sufficient to achieve high quality calibration, outperforming state-of-the-art methods by more than 6.3%.
arXiv Detail & Related papers (2020-01-25T09:30:06Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.