A fast expected time algorithm for the 2-D point pattern matching problem

2004 ◽  
Vol 37 (8) ◽  
pp. 1699-1711 ◽  
Author(s):  
P.B. Van Wamelen ◽  
Z. Li ◽  
S.S. Iyengar
2018 ◽  
Vol 72 (1) ◽  
pp. 55-70 ◽  
Author(s):  
Cláudio P. Santiago ◽  
Carlile Lavor ◽  
Sérgio Assunção Monteiro ◽  
Alberto Kroner-Martins

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Xiaoyun Wang ◽  
Xianquan Zhang

Point pattern matching is an important topic of computer vision and pattern recognition. In this paper, we propose a point pattern matching algorithm for two planar point sets under Euclidean transform. We view a point set as a complete graph, establish the relation between the point set and the complete graph, and solve the point pattern matching problem by finding congruent complete graphs. Experiments are conducted to show the effectiveness and robustness of the proposed algorithm.


Algorithmica ◽  
2003 ◽  
Vol 38 (1) ◽  
pp. 59-90 ◽  
Author(s):  
Martin Gavrilov ◽  
Piotr Indyk ◽  
Rajeev Motwani ◽  
Suresh Venkatasubramanian

1985 ◽  
Vol SMC-15 (5) ◽  
pp. 631-637 ◽  
Author(s):  
Ardeshir Goshtasby ◽  
George C. Stockman

2010 ◽  
Vol 7 (1) ◽  
pp. 231-246 ◽  
Author(s):  
Xiaopeng Wei ◽  
Xiaoyong Fang ◽  
Qiang Zhang ◽  
Dongsheng Zhou

We propose a new method for matching two 3D point sets of identical cardinality with global similarity but local non-rigid deformations and distribution errors. This problem arises from marker based optical motion capture (Mocap) systems for facial Mocap data. To establish one-to-one identifications, we introduce a forward 3D point pattern matching (PPM) method based on spatial geometric flexibility, which considers a non-rigid deformation between the two point-sets. First, a model normalization algorithm based on simple rules is presented to normalize the two point-sets into a fixed space. Second, a facial topological structure model is constructed, which is used to preserve spatial information for each FP. Finally, we introduce a Local Deformation Matrix (LDM) to rectify local searching vector to meet the local deformation. Experimental results confirm that this method is applicable for robust 3D point pattern matching of sparse point sets with underlying non-rigid deformation and similar distribution.


1978 ◽  
Author(s):  
Daryl J. Kahl ◽  
Azriel Rosenfeld ◽  
Alan Danker

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