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首页> 外文会议>International Workshop on Computer Vision for Biomedical Image Applications(CVBIA 2005); 20051021; Beijing(CN) >A Hybrid Eulerian-Lagrangian Approach for Thickness, Correspondence, and Gridding of Annular Tissues
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A Hybrid Eulerian-Lagrangian Approach for Thickness, Correspondence, and Gridding of Annular Tissues

机译：环形组织的厚度，对应和网格化的混合欧拉-拉格朗日方法

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摘要

We present a novel approach to efficiently compute thickness, correspondence, and gridding of tissues between two simply connected boundaries. The solution of Laplace's equation within the tissue region provides a harmonic function whose gradient flow determines the correspondence trajectories going from one boundary to the other. The proposed method uses and expands upon two recently introduced techniques in order to compute thickness and correspondences based on these trajectories. Pairs of partial differential equations (PDEs) are efficiently computed within an Eulerian framework and combined with a Lagrangian approach so that correspondences trajectories are partially constructed when necessary. Results show that the proposed technique takes advantage of both the speed of the Eulerian PDE approach and the accuracy of the Lagrangian approach.
机译：我们提出了一种新颖的方法来有效地计算两个简单连接的边界之间的组织的厚度，对应关系和网格化。组织区域内拉普拉斯方程的解提供了一个谐波函数，该函数的梯度流确定了从一个边界到另一个边界的对应轨迹。所提出的方法使用并扩展了两种最新引入的技术，以便基于这些轨迹计算厚度和对应关系。在欧拉框架内有效地计算成对的偏微分方程对（PDE），并与拉格朗日方法组合，以便在必要时部分构造对应的轨迹。结果表明，所提出的技术同时利用了欧拉PDE方法的速度和拉格朗日方法的准确性。

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