Research on Analytical Solution Tensor Voting

Hongbin LIN; Zheng WU; Dong LEI; Wei WANG; Xiuping PENG

doi:10.1587/transinf.2017EDL8181

Research on Analytical Solution Tensor Voting

Hongbin LIN, Zheng WU, Dong LEI, Wei WANG, Xiuping PENG

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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.

Publication: IEICE TRANSACTIONS on Information 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

Authors

Hongbin LIN
  Yanshan University
Zheng WU
  Yanshan University
Dong LEI
  Yanshan University
Wei WANG
  Yanshan University
Xiuping PENG
  Yanshan University

Keyword

perceptual grouping, tensor voting, analytic tensor voting, salient structure inference, structural information propagation

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Hongbin LIN, Zheng WU, Dong LEI, Wei WANG, Xiuping PENG, "Research on Analytical Solution Tensor Voting" in IEICE TRANSACTIONS on Information, vol. E101-D, no. 3, pp. 817-820, March 2018, doi: 10.1587/transinf.2017EDL8181.
Abstract: 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.
URL: https://globals.ieice.org/en_transactions/information/10.1587/transinf.2017EDL8181/_p

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@ARTICLE{e101-d_3_817,
author={Hongbin LIN, Zheng WU, Dong LEI, Wei WANG, Xiuping PENG, },
journal={IEICE TRANSACTIONS on Information},
title={Research on Analytical Solution Tensor Voting},
year={2018},
volume={E101-D},
number={3},
pages={817-820},
abstract={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.},
keywords={},
doi={10.1587/transinf.2017EDL8181},
ISSN={1745-1361},
month={March},}

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TY - JOUR
TI - Research on Analytical Solution Tensor Voting
T2 - IEICE TRANSACTIONS on Information
SP - 817
EP - 820
AU - Hongbin LIN
AU - Zheng WU
AU - Dong LEI
AU - Wei WANG
AU - Xiuping PENG
PY - 2018
DO - 10.1587/transinf.2017EDL8181
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E101-D
IS - 3
JA - IEICE TRANSACTIONS on Information
Y1 - March 2018
AB - 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.
ER -