非线性形状回归滤波分割结果 钙显像

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摘要翻译：
提出了一种形状滤波器来修复在体神经元钙成像中获得的分割结果。这种后分割算法可以自动平滑由初步分割得到的形状，同时避免了两个神经元被计算为一个组合分量的情况。形状滤波器是利用平方根速度将形状投影到形状流形上实现的，其中形状之间的距离是基于弹性变化的。提出了两种数据驱动的加权方法，以实现形状平滑度和与数据一致性之间的折衷。通过直角坐标图的投影，对所提出的方法进行直观的比较，证明了形状滤波器的平滑能力。定量度量也证明了我们的方法优于不使用任何加权准则的模型。
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英文标题：
《Nonlinear Shape Regression For Filtering Segmentation Results From
  Calcium Imaging》
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作者：
Jie Wang, Zhongxiao Fu, Nasrin Sadeghzadehyazdi, Jonathan Kipnis,
  Scott T. Acton
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最新提交年份：
2018
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分类信息：

一级分类：Electrical Engineering and Systems Science        电气工程与系统科学
二级分类：Image and Video Processing        图像和视频处理
分类描述：Theory, algorithms, and architectures for the formation, capture, processing, communication, analysis, and display of images, video, and multidimensional signals in a wide variety of applications. Topics of interest include: mathematical, statistical, and perceptual image and video modeling and representation; linear and nonlinear filtering, de-blurring, enhancement, restoration, and reconstruction from degraded, low-resolution or tomographic data; lossless and lossy compression and coding; segmentation, alignment, and recognition; image rendering, visualization, and printing; computational imaging, including ultrasound, tomographic and magnetic resonance imaging; and image and video analysis, synthesis, storage, search and retrieval.
用于图像、视频和多维信号的形成、捕获、处理、通信、分析和显示的理论、算法和体系结构。感兴趣的主题包括：数学，统计，和感知图像和视频建模和表示；线性和非线性滤波、去模糊、增强、恢复和重建退化、低分辨率或层析数据；无损和有损压缩编码；分割、对齐和识别；图像渲染、可视化和打印；计算成像，包括超声、断层和磁共振成像；以及图像和视频的分析、合成、存储、搜索和检索。
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英文摘要：
  A shape filter is presented to repair segmentation results obtained in calcium imaging of neurons in vivo. This post-segmentation algorithm can automatically smooth the shapes obtained from a preliminary segmentation, while precluding the cases where two neurons are counted as one combined component. The shape filter is realized using a square-root velocity to project the shapes on a shape manifold in which distances between shapes are based on elastic changes. Two data-driven weighting methods are proposed to achieve a trade-off between shape smoothness and consistency with the data. Intuitive comparisons of proposed methods via projection onto Cartesian maps demonstrate the smoothing ability of the shape filter. Quantitative measures also prove the superiority of our methods over models that do not employ any weighting criterion.
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PDF链接：
https://arxiv.org/pdf/1802.05318

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关键词：非线性 Segmentation Mathematical Construction Quantitative 情况 投影 方法 直观 methods