Diffusion pruning for rapidly and robustly selecting global correspondences using local isometry

Diffusion pruning for rapidly and robustly selecting global correspondences using local isometry
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使用局部等距快速、稳健地选择全局对应的扩散修剪

DOI:
10.1145/2517967
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发表时间:
2014
影响因子:
6.2
通讯作者:
Tam G
Tam G
中科院分区:
计算机科学1区
文献类型:
--
作者:
Tam G

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在计算机图形学和相关领域的各种应用中,寻找两个表面之间的对应关系是一种基本操作。候选对应可以通过匹配局部签名来找到,但由于它们只考虑局部几何形状,因此许多都是全局不一致的。我们提供了一种新的算法来修剪一组候选对应的那些最有可能是全球一致的。我们的方法可以处理关节表面,和相关的变形是全球非等距的,只要变形是局部近似等距。我们的方法使用一个有效的扩散框架,只需要在小的邻域测地距离计算,不像许多现有的技术,需要计算全球测地距离。我们证明,对于典型的例子,我们的方法提供了显着的精度提高,但也减少了数百倍的时间和内存成本相比,现有的修剪技术。与许多其他方法不同,我们的方法对孔不敏感。
Finding correspondences between two surfaces is a fundamental operation in various applications in computer graphics and related fields. Candidate correspondences can be found by matching local signatures, but as they only consider local geometry, many are globally inconsistent. We provide a novel algorithm to prune a set of candidate correspondences to those most likely to be globally consistent. Our approach can handle articulated surfaces, and ones related by a deformation which is globally nonisometric, provided that the deformation is locally approximately isometric. Our approach uses an efficient diffusion framework, and only requires geodesic distance calculations in small neighbourhoods, unlike many existing techniques which require computation of global geodesic distances. We demonstrate that, for typical examples, our approach provides significant improvements in accuracy, yet also reduces time and memory costs by a factor of several hundred compared to existing pruning techniques. Our method is furthermore insensitive to holes, unlike many other methods.
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