多维信号的微局部奇异方向检测
Detection of Microlocal Singularity Directions of Multi-dimensional Signals
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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。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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