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arXiv 2201.00708cs.CV

多视角点云配准与各向异性及空间变化的定位噪声

Multiview point cloud registration with anisotropic and space-varying localization noise

ICube - UMR7357, CNRS, University of Strasbourg(斯特拉斯堡大学);Lehrstuhl für Biotechnologie und Biophysik, Biozentrum, Universität Würzburg, Germany(乌尔姆大学)

Denis Fortun, Etienne Baudrier, Fabian Zwettler, Markus Sauer, Sylvain Faisan

AI总结:

本文提出一种处理多视角点云配准中各向异性及空间变化定位噪声的方法,通过显式噪声模型提升鲁棒性,并在模拟和真实数据上验证效果。

摘要:

在本文中,我们解决了注册多个受高各向异性定位噪声影响的点云问题。我们的方法遵循广泛使用的高斯混合模型(GMM)重建框架,结合期望最大化(EM)算法。现有方法基于隐含假设的空间不变各向同性高斯噪声。然而,在单分子定位显微镜(SMLM)等应用中,这一假设会被违反。为了解决这个问题,我们提出引入一个显式的定位噪声模型,将形状建模与GMM分离,从而与噪声处理相脱钩。我们设计了一个随机EM算法,将无噪声数据视为潜在变量,在每次EM步骤中具有闭式解。我们的方法的第一个优势是能够处理具有任意协方差的各向异性高斯噪声。第二个优势是利用显式的噪声模型,可以利用可能来自物理传感器的噪声先验知识。我们在各种模拟数据上展示了我们的噪声处理策略在高各向异性噪声下的显著鲁棒性。我们还展示了我们的方法在真实SMLM数据上的性能。

英文摘要:

In this paper, we address the problem of registering multiple point clouds corrupted with high anisotropic localization noise. Our approach follows the widely used framework of Gaussian mixture model (GMM) reconstruction with an expectation-maximization (EM) algorithm. Existing methods are based on an implicit assumption of space-invariant isotropic Gaussian noise. However, this assumption is violated in practice in applications such as single molecule localization microscopy (SMLM). To address this issue, we propose to introduce an explicit localization noise model that decouples shape modeling with the GMM from noise handling. We design a stochastic EM algorithm that considers noise-free data as a latent variable, with closed-form solutions at each EM step. The first advantage of our approach is to handle space-variant and anisotropic Gaussian noise with arbitrary covariances. The second advantage is to leverage the explicit noise model to impose prior knowledge about the noise that may be available from physical sensors. We show on various simulated data that our noise handling strategy improves significantly the robustness to high levels of anisotropic noise. We also demonstrate the performance of our method on real SMLM data.

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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