| 多维信号的微局部奇异方向检测 |
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| 引用本文： | 陈小蔷, 王桥, 吴乐南. 多维信号的微局部奇异方向检测[J]. 电子与信息学报, 2004, 26(5): 696-701. |
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| 作者姓名： | 陈小蔷 王桥 吴乐南 |
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| 作者单位： | 东南大学无线电工程系,南京,210096;东南大学无线电工程系,南京,210096;东南大学无线电工程系,南京,210096 |
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| 基金项目： | 国家自然科学基金(60002008) |
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| 摘 要： | 多维信号的奇异性方向检测在许多领域都有重要的应用。在微局部分析的意义下,可以将图像的边缘和奇异性方向看作波前集。该文从工程角度对此给出一个比较直观的解释,并且基于此提出了一个自动检测多重奇异性方向的算法,可用于图像分析和多维信号检测等多个领域。
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| 关 键 词： | 奇异性 微局部分析 波前集 多维信号处理 |
| 文章编号： | 1009-5896(2004)05-0696-06 |
| 收稿时间： | 2002-12-29 |
| 修稿时间： | 2002-12-29 |
Detection of Microlocal Singularity Directions of Multi-dimensional Signals |
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| Chen Xiao-qiang, Wang Qiao, Wu Le-nan. Detection of Microlocal Singularity Directions of Multi-dimensional Signals[J]. Journal of Electronics & Information Technology, 2004, 26(5): 696-701. |
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| Authors: | Chen Xiao-qiang Wang Qiao Wu Le-nan |
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| Affiliation: | Department of Radio Engineering; Southeast University; Nanjing 210096; China |
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| Abstract: | Detecting singularities of multi-dimensional signals is important and interesting in various fields. The edge of an image and the directions of singularity can be regarded as a wavefront set in the meaning of microlocal analysis, which is intuitively illustrated from the viewpoint of engineering in this paper. A wavefront detection algorithm is proposed, which is based on microlocal analysis and can be applied to image analysis, multi-dimensional signal detection and many other related fields. Experimental results indicate that this algorithm is simple and successful. |
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| Keywords: | Singularity Microlocal analysis Wavefront set Multi-dimensional signal processing |
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