Exact solution to median surface problem using 3D graph search and application to parameter space exploration

Wu, Zhengwang; Jiang, Xiaoyi; Zheng, Nanning; Liu, Yuehu; Cheng, Dachuan

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Exact solution to median surface problem using 3D graph search and application to parameter space exploration

机译：使用3D图形搜索精确求解中值曲面问题并将其应用于参数空间探索

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摘要

In this paper we propose the generalized median surface problem and present an exact solution by applying a 3D graph search algorithm. To our knowledge this is a novel class of median computation problem which has not been considered before in the literature. In addition to the theoretic interest in median surface computation we also demonstrate its practical value by means of the task of parameter space exploration without ground truth, which is an effective means of dealing with the difficult parameter selection problem for image segmentation. We present a concrete application for artery boundary detection in sonography (ultrasound imaging). It will be shown that the median computation can not only avoid the parameter training, but also potentially achieve results comparable with trained parameters. The median-based approach can thus be a good alternate, particularly in situations with no ground truth available. (C) 2014 Elsevier Ltd. All rights reserved.

机译：在本文中，我们提出了广义中值曲面问题，并通过应用3D图形搜索算法提出了精确的解决方案。据我们所知，这是一类新颖的中值计算问题，以前在文献中没有考虑过。除了理论上对中值表面计算的兴趣之外，我们还通过不具有地面真实性的参数空间探索任务证明了其实用价值，这是处理用于图像分割的困难参数选择问题的有效手段。我们提出了超声（超声成像）中动脉边界检测的具体应用。将显示，中值计算不仅可以避免参数训练，而且还可以潜在地获得与训练后的参数相当的结果。因此，基于中位数的方法可以是一个很好的替代方法，尤其是在没有实际可用的情况下。（C）2014 Elsevier Ltd.保留所有权利。

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来源
《Pattern Recognition: The Journal of the Pattern Recognition Society》 |2015年第2期|共11页
作者
Wu, Zhengwang; Jiang, Xiaoyi; Zheng, Nanning; Liu, Yuehu; Cheng, Dachuan;
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正文语种 eng
中图分类计算技术、计算机技术;
关键词
Generalized median; Median surface; Graph search; Parameter handling;

机译：广义中值;中值表面;图搜索;参数处理;

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1. Exact solution to median surface problem using 3D graph search and application to parameter space exploration [J] . Wu, Zhengwang, Jiang, Xiaoyi, Zheng, Nanning, Pattern Recognition: The Journal of the Pattern Recognition Society . 2015,第2期

机译：使用3D图形搜索精确求解中值曲面问题并将其应用于参数空间探索
2. A solution methodology for exact design space exploration in a three-dimensional design space [J] . Chaudhuri S., Blthye S.A. IEEE transactions on very large scale integration (VLSI) systems . 1997,第1期

机译：在三维设计空间中进行精确设计空间探索的解决方法
3. The Median Problems on Linear Multichromosomal Genomes: Graph Representation and Fast Exact Solutions [J] . Andrew Wei Xu Journal of computational biology . 2010,第9期

机译：线性多染色体基因组的中位数问题：图表示和快速精确解
4. Exact Computation of Median Surfaces Using Optimal 3D Graph Search [C] . Zhengwang Wu, Xiaoyi Jiang, Nanning Zheng, IAPR-TC-15 international workshop on graph-based representations in pattern recognition . 2013

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Exact solution to median surface problem using 3D graph search and application to parameter space exploration

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