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基于等距随机游走图的三维动态曲面对准
引用本文:程志豪,潘翔,张三元,任亚楠.基于等距随机游走图的三维动态曲面对准[J].浙江大学学报(自然科学版 ),2020,54(1):135-142.
作者姓名:程志豪  潘翔  张三元  任亚楠
作者单位:1. 浙江工业大学 计算机科学与技术学院,浙江 杭州 3100232. 浙江大学 计算机科学与技术学院,浙江 杭州 310058
基金项目:国家重点研发计划重点专项资助项目(2017YFB1002600);浙江省自然科学基金资助项目(LY19F020031,LQ17F030004)
摘    要:为了提高三维动态曲面在噪声和遮挡下的对准精度,提出时空等距随机游走图算法. 该算法根据相邻两帧采样点的乘积空间定义图节点,通过时空相邻性进行节点裁剪处理. 以测地距离定义图边约束,将等距映射转化为图稳定性节点选择的随机游走问题. 通过马尔可夫链理论,计算得到最终的对应结果. 通过对不同动态曲面数据库的实验分析表明,该算法针对具有明显噪声和空洞的三维动态曲面能够得到一致性对准关系,性能优于已有算法.

关 键 词:三维动态曲面对准  测地距离  时空等距随机游走图  马尔可夫链理论  

Three-dimensional dynamic surface alignment based on isometric random walk graph
Zhi-hao CHENG,Xiang PAN,San-yuan ZHANG,Ya-nan REN.Three-dimensional dynamic surface alignment based on isometric random walk graph[J].Journal of Zhejiang University(Engineering Science),2020,54(1):135-142.
Authors:Zhi-hao CHENG  Xiang PAN  San-yuan ZHANG  Ya-nan REN
Abstract:A space-time isometric random walk graph was proposed in order to improve the alignment accuracy of three-dimensional dynamic surfaces under noise and occlusion. Graph nodes were defined according to the product space of sampling point sets, and pruning was performed based on spatial-temporal adjacency. The edge weight was defined by the geodesic distance. The isometric mapping problem was formulated into the choice among a random walk graph. The alignment results were computed by Markov chain theory. The experimental results of different dynamic surface databases show that the proposed algorithm can obtain a consistent alignment for three-dimensional dynamic surface with obvious noise and holes. The aligning accuracy of the algorithm is better than the existing algorithms.
Keywords:three-dimensional dynamic surface alignment  geodesic distance  space-time isometric random walk graph  Markov chain theory  
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