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arXiv 2501.02872cs.CV
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基于未知角度分布的二维未知视角断层成像

Two-Dimensional Unknown View Tomography from Unknown Angle Distributions

Indian Institute of Technology Bombay(印度理工学院孟买分校);Walmart Global Tech(沃尔玛全球科技)

Kaishva Chintan Shah, Karthik S. Gurumoorthy, Ajit Rajwade

AI总结:

针对角度及其分布均未知的二维UVT问题,提出基于交叉验证误差的交替优化框架,联合估计角度分布与二维结构,并在两种分布模型及含噪投影下验证性能。

摘要:

本研究提出了一种在观察视角未知且视角分布同样未知条件下进行二维断层成像的技术。未知视角断层成像(UVT)是冷冻电子显微镜以及CT系统几何标定中遇到的问题。关于二维UVT问题已有一定数量的文献,但大多数现有二维UVT算法都假设已知角度分布,而这一信息在实际中通常无法获得。我们提出的方法将该问题表述为一项基于交叉验证误差的优化任务,以交替方式联合估计角度分布和潜在的二维结构。我们针对两种概率分布模型考察了算法能力:一种是von Mises密度的半参数混合模型,另一种是概率质量函数模型。我们在含噪投影条件下评估算法性能,采用基于PCA的去噪技术以及由所估计分布的顺序统计量驱动的图拉普拉斯断层成像(GLT),以确保近乎完美的排序,并将该算法与直观基线方法进行比较。

英文摘要:

This study presents a technique for 2D tomography under unknown viewing angles when the distribution of the viewing angles is also unknown. Unknown view tomography (UVT) is a problem encountered in cryo-electron microscopy and in the geometric calibration of CT systems. There exists a moderate-sized literature on the 2D UVT problem, but most existing 2D UVT algorithms assume knowledge of the angle distribution which is not available usually. Our proposed methodology formulates the problem as an optimization task based on cross-validation error, to estimate the angle distribution jointly with the underlying 2D structure in an alternating fashion. We explore the algorithm's capabilities for the case of two probability distribution models: a semi-parametric mixture of von Mises densities and a probability mass function model. We evaluate our algorithm's performance under noisy projections using a PCA-based denoising technique and Graph Laplacian Tomography (GLT) driven by order statistics of the estimated distribution, to ensure near-perfect ordering, and compare our algorithm to intuitive baselines.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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