Curvature preserving PDE-based nonlinear structure tensor

doi:10.3778/j.issn.1002-8331.2010.18.049

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (18): 156-159.DOI: 10.3778/j.issn.1002-8331.2010.18.049

• 图形、图像、模式识别 • Previous Articles Next Articles

Curvature preserving PDE-based nonlinear structure tensor

ZHENG Yu-hui¹，PAN Yu²，SUN Quan-sen²，WEI Zhi-hui²，XIA De-shen²

1.Computer and Software Institute，Nanjing University of Information Science & Technology，Nanjing 210044，China
2.School of Science，Nanjing University of Science & Technology，Nanjing 210094，China

Received:2009-02-27 Revised:2009-11-04 Online:2010-06-21 Published:2010-06-21
Contact: ZHENG Yu-hui

基于曲率保持PDE的非线性结构张量

郑钰辉¹，潘瑜²，孙权森²，韦志辉²，夏德深²

1.南京信息工程大学计算机与软件学院，南京 210044
2.南京理工大学计算机科学与技术学院，南京 210094

通讯作者: 郑钰辉

Abstract

Abstract: A new curvature-preserving diffusion based nonlinear structure tensor calculation method is proposed.At first，three requirements of nonlinear structure tensor algorithms are presented，based on which the defects of the divergence-based nonlinear structure tensor and the trace-based nonlinear structure tensor，in corner information extraction，are pointed out.After that，this paper smoothes the structure tensor with an extended curvature-preserving PDE method and gets the new nonlinear structure tensor，which is capable of structure estimation.Experimental results show that the method can produce better local structure estimation results.

Key words: matrix-valued data field, nonlinear structure tensor, structure information, curvature preserving

摘要： 提出了一种基于曲率保持扩散方程的非线性结构张量计算方法。在讨论了非线性结构张量算法必须满足3个条件的基础上，指出了基于散度的非线性结构张量与基于迹的非线性结构张量在提取图像二维结构信息时的不足；将曲率保持正则化方法用于平滑结构张量，使得新的非线性结构张量具有更好的结构估计能力。实验结果表明：该文方法对噪声图像仍能取得较好地局部结构估计结果。

关键词: 矩阵值数据场, 非线性结构张量, 结构信息, 曲率保持

CLC Number:

TP391.41

ZHENG Yu-hui¹，PAN Yu²，SUN Quan-sen²，WEI Zhi-hui²，XIA De-shen². Curvature preserving PDE-based nonlinear structure tensor[J]. Computer Engineering and Applications, 2010, 46(18): 156-159.

郑钰辉¹，潘瑜²，孙权森²，韦志辉²，夏德深². 基于曲率保持PDE的非线性结构张量[J]. 计算机工程与应用, 2010, 46(18): 156-159.

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Curvature preserving PDE-based nonlinear structure tensor

基于曲率保持PDE的非线性结构张量

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