Diffeomorphisms groups and pattern matching in image analysis
Diffeomorphisms groups and pattern matching in image analysis
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DOI：
10.1023/a:1008001603737
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发表时间：
1998-07-01
影响因子：
19.5
通讯作者：
Trouve, A
中科院分区：
文献类型：
--
作者：
Trouve, A
在之前的一篇论文中，有人提出将常见模式的变形视为无限维群的作用。我们在本文中表明，这种方法可以在数字图像的图像分析中以数值方式应用于模式匹配。使用李群的思想，我们构建了通过给定无限小变形成本的度量定义的变形之间的距离。然后，我们提出了一种数值方案来解决涉及该距离并导致次优梯度模式匹配的变分问题。建立了它与流体模型的联系。
In a previous paper, it was proposed to see the deformations of a common pattern as the action of an infinite dimensional group. We show in this paper that this approach can be applied numerically for pattern matching in image analysis of digital images. Using Lie group ideas, we construct a distance between deformations defined through a metric given the cost of infinitesimal deformations. Then we propose a numerical scheme to solve a variational problem involving this distance and leading to a sub-optimal gradient pattern matching. Its links with fluid models are established.