A PERFECT MATCH CONDITION FOR POINT-SET MATCHING PROBLEMS USING THE OPTIMAL MASS TRANSPORT APPROACH.
A PERFECT MATCH CONDITION FOR POINT-SET MATCHING PROBLEMS USING THE OPTIMAL MASS TRANSPORT APPROACH.
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DOI：
10.1137/12086443x
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发表时间：
2013-04-03
影响因子：
2.1
通讯作者：
Chern IL
中科院分区：
文献类型：
--
作者：
Chen P;Lin CL;Chern IL
我们研究了应用于点集匹配问题的基于最优质量传输的方法的性能。本研究基于 L2 质量传输成本，指出当点集基数和非刚性变形场的旋度范数的乘积不超过某个常数时，总是会发生完美匹配。这一分析结果通过匹配两组肺血管树分支点的数值研究来证明，这两组肺血管分支点的位移是由同一人类受试者的肺容量变化引起的。近乎完美的匹配性能验证了这种基于大众运输的方法的有效性。
We study the performance of optimal mass transport-based methods applied to point-set matching problems. The present study, which is based on the L2 mass transport cost, states that perfect matches always occur when the product of the point-set cardinality and the norm of the curl of the non-rigid deformation field does not exceed some constant. This analytic result is justified by a numerical study of matching two sets of pulmonary vascular tree branch points whose displacement is caused by the lung volume changes in the same human subject. The nearly perfect match performance verifies the effectiveness of this mass transport-based approach.