多維信號的微局部奇異方向檢測
Detection of Microlocal Singularity Directions of Multi-dimensional Signals
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摘要: 多維信號的奇異性方向檢測在許多領(lǐng)域都有重要的應(yīng)用。在微局部分析的意義下,可以將圖像的邊緣和奇異性方向看作波前集。該文從工程角度對此給出一個比較直觀的解釋,并且基于此提出了一個自動檢測多重奇異性方向的算法,可用于圖像分析和多維信號檢測等多個領(lǐng)域。
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關(guān)鍵詞:
- 奇異性; 微局部分析; 波前集; 多維信號處理
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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