• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Geometry, Imaging and Computing >Surface-based shape classification using Wasserstein distance
【24h】

Surface-based shape classification using Wasserstein distance

机译：使用Wasserstein距离的基于表面的形状分类

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Surface based shape analysis plays a fundamental role in computer vision and medical imaging. In this work, we proposes a novel method for shape classification of brain’s hippocampus using Wasserstein distance based on optimal mass transport theory. In comparison with the conventional method based on Monge-Kantorovich theory, our proposed method employs Monge-Brenier theory for the computation of the optimal mass transport map, which remarkably ameliorates the efficiency by reducing computational complexity from O(n~2) to O(n). Using the conformal mapping, our method maps the metric surface with disk topology to the unit planar disk, which pushes the area element on the surface to the disk and incurs the area distortion. A probability measure is then determined by this area distortion. Given any two probability measures on two surfaces, our method is capable of obtaining a unique optimal mass transport map between them. The transportation cost of this optimal mass transport defines the Wasserstein distance between two surfaces, which intrinsically measures the dissimilarities between surface based shapes and thus can be used for shape classification. Experimental results on surface based hippocampal shape analysis demonstrates the efficiency and efficacy of our proposed method.
机译：基于表面的形状分析在计算机视觉和医学成像中起着基本作用。在这项工作中，我们提出了一种基于最佳质量输运理论的利用Wasserstein距离对海马进行形状分类的新方法。与基于Monge-Kantorovich理论的传统方法相比，我们提出的方法采用Monge-Brenier理论来计算最佳质量传输图，通过将计算复杂度从O（n〜2）降低到O（ n）。使用共形映射，我们的方法将具有磁盘拓扑结构的度量表面映射到单位平面磁盘，这会将表面上的面积元素推到磁盘上并导致面积变形。然后通过该区域失真确定概率度量。给定两个表面上的任何两个概率测度，我们的方法能够在它们之间获得唯一的最佳质量传输图。最佳质量运输的运输成本定义了两个表面之间的Wasserstein距离，该距离本质上测量了基于表面的形状之间的差异，因此可用于形状分类。基于表面海马形状分析的实验结果证明了我们提出的方法的有效性和有效性。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号