用渲染技术计算全景成像的参数估计下界,揭示真实极限。
A Renderer-Enabled Framework for Computing Parameter Estimation Lower Bounds in Plenoptic Imaging Systems
- 借助渲染生成前向模型,计算无直接观测时的参数估计误差下界。
- 在物体定位任务中,下界与最大似然估计性能吻合,验证了其有效性。
- 适合研究成像系统理论极限或优化估计算法的科研人员。
本文聚焦于全景成像系统中场景参数估计的信息论极限评估。提出一种通用框架,从含噪全景观测中计算参数估计误差的下界,特别针对被动间接成像问题——观测中不包含感兴趣参数的视线信息。利用计算机图形学渲染软件合成复杂参数与观测间的依赖关系(即前向模型),通过评估Hammersley-Chapman-Robbins界,建立任意无偏估计器方差的下界。分析了前向模型近似渲染对下界计算的影响,理论与仿真均表明其影响可控。实验对比了该框架计算的下界与最大似然估计在典型物体定位问题上的表现,结果显示计算出的下界在多个代表性场景中准确反映了真实的底层根本极限。
原文摘要 · Abstract (English)
This work focuses on assessing the information-theoretic limits of scene parameter estimation in plenoptic imaging systems. A general framework to compute lower bounds on the parameter estimation error from noisy plenoptic observations is presented, with a particular focus on passive indirect imaging problems, where the observations do not contain line-of-sight information about the parameter(s) of interest. Using computer graphics rendering software to synthesize the often-complicated dependence among parameter(s) of interest and observations, i.e. the forward model, the proposed framework evaluates the Hammersley-Chapman-Robbins bound to establish lower bounds on the variance of any unbiased estimator of the unknown parameters. The effects of inexact rendering of the true forward model on the computed lower bounds are also analyzed, both theoretically and via simulations. Experimental evaluations compare the computed lower bounds with the performance of the Maximum Likelihood Estimator on a canonical object localization problem, showing that the lower bounds computed via the framework proposed here are indicative of the true underlying fundamental limits in several nominally representative scenarios.
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