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首页> 外文会议>Fifth International Conference on Electronic Measurement amp; Instruments (ICEMI'2001) Vol.1 Nov 18-21, 2001 Guilin, China >On B-spline Wavelet Edge Detection Based on Canny Criteria
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On B-spline Wavelet Edge Detection Based on Canny Criteria

机译：基于Canny准则的B样条小波边缘检测

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摘要

Based on Canny's edge detecting criteria, we study two types of the cardinal B-spline wavelets which converge asymptotically to Canny operator and Marr-Hildreth operator respectively, derive the mathematical formulas of the signal-to-noise ratio SNR, the localization L and the nonedge-mean-distance M, and prove that when detecting the object edge, the B-spline wavelet converging to Canny operator is superior to the B-spline wavelet converging to Marr-Hildreth operator. Like the first-derivative of Gauss function, B-spline wavelet converging to Canny operator can satisfy the optimal criteria approximately and detect edges with very high calculation speed.
机译：根据Canny的边缘检测准则，我们研究了两种基本的B样条小波，它们分别渐近收敛于Canny算子和Marr-Hildreth算子，推导了信噪比SNR的数学公式，定位L和非边缘平均距离M，并证明在检测物体边缘时，收敛于Canny算子的B样条小波优于收敛于Marr-Hildreth算子的B样条小波。像高斯函数的一阶导数一样，收敛到Canny算子的B样条小波可以近似地满足最佳准则，并以很高的计算速度检测边缘。

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