Research on Analytical Solution Tensor Voting

Hongbin LIN  Zheng WU  Dong LEI  Wei WANG  Xiuping PENG  

IEICE TRANSACTIONS on Information and Systems   Vol.E101-D   No.3   pp.817-820
Publication Date: 2018/03/01
Publicized: 2017/12/01
Online ISSN: 1745-1361
DOI: 10.1587/transinf.2017EDL8181
Type of Manuscript: LETTER
Category: Pattern Recognition
perceptual grouping,  tensor voting,  analytic tensor voting,  salient structure inference,  structural information propagation,  

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This letter presents a novel tensor voting mechanism — analytic tensor voting (ATV), to get rid of the difficulties in original tensor voting, especially the efficiency. One of the main advantages is its explicit voting formulations, which benefit the completion of tensor voting theory and computational efficiency. Firstly, new decaying function was designed following the basic spirit of decaying function in original tensor voting (OTV). Secondly, analytic stick tensor voting (ASTV) was formulated using the new decaying function. Thirdly, analytic plate and ball tensor voting (APTV, ABTV) were formulated through controllable stick tensor construction and tensorial integration. These make the each voting of tensor can be computed by several non-iterative matrix operations, improving the efficiency of tensor voting remarkably. Experimental results validate the effectiveness of proposed method.