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一种基于多尺度分析的CT图像边缘检测方法

An Approach of Edge Detection for CT Images Based on Multiscale Analysis

作者: 严华刚  李海云 
单位:首都医科大学生物医学工程学院(北京100069)
关键词: 边缘检测;多尺度分析;小波变换;CT图像 
分类号:
出版年·卷·期(页码):2010·29·6(603-607)
摘要:

为了准确提取CT图像中解剖组织几何形态特征,提出了一种基于多尺度分析的CT图像边缘检测方法。本文应用多尺度分析中含有尺度因子的平滑函数的负导数作为小波,对CT图像实施小波变换,并检测小波变换的模局部极大值,完成基于模局部极大值的解剖组织轮廓特征表达。本文还讨论了一种模局部极大值点的简单筛选方法,针对CT图像噪声较大的特点,以模局部极大值的均方根乘以一个与尺度有关的因子作为模局部极大值的阈值,在不同尺度上获得了清晰的边缘信息。阈值处理后的模局部极大值图表明,不同尺度下的边缘检测能给出大小不同的物体的边缘信息。本方法能在有效抑制噪声的基础上,准确提取感兴趣解剖组织的几何轮廓特征。

In order to correctly extract the geometric features of anatomies in CT images, we proposed an approach of edge detection for CT images based on multiscale analysis. The analysis for multiscale edge detection was implemented by using the negative derivatives of a smoothing function containing a scale factor as the wavelets to perform wavelet transform on CT images, and by locating the local modulus maxima of the transform to depict the geometric features of anatomies in the images. We also proposed a simple method for identifying the local modulus maxima points. In addition, in order to address the relatively large CT image noise, we utilized the thresholds, that were obtained by multiplying the means square root of all local modulus maxima with a factor related to the scale, and achieved clean edges consequently. The resulting pictures of local modulus maxima after the thresholding showed that the edge information of different objects of different sizes could be revealed by different edge detections under different scales. It is indicated that the method proposed can extract the geometric contour features of the anatomies of interest correctly after suppressing the noise effectively.

参考文献:

[1] Gonzalez  RC, Woods  RE. Digital Image Processing. 北京:电子工业出版社,2007:568.
[2] Canny  J. A Computational Approach to Edge Detection. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1986, PAMI8( 6): 679-697.
[3] Holschneider  M, Kronland-Martinet  R, Morlet  J,et al. Wavelets, Time Frequency Methods and Phase Space, chapter A Real-Time Algorithm for Signal Analysis with the Help of the Wavelet Transform, Berlin: Springer-Verlag, 1989: 289-297.
[4] Mallat S.A Wavelet Tour of Signal Processing. 3ed. Burlington: Academic Press: 2009: 240-241.

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