多尺度边缘检测中的有效尺度研究

RESEARCH OF EFFECTIVE SCALE IN MULTISCALE EDGE DETECTION

在边缘检测中,检测不同类型的边缘需要的滤波尺度各不相同。本文详细讨论了以紧支、对称平滑函数构造的滤波函数在检测不同类型边缘时的有效尺度,同时分析了高斯平滑函数及三次B样条平滑函数在抑制噪声时的有效尺度范围。该文的结论为多尺度边缘检测中滤波尺度的调整提供了重要的理论依据。

The filtering scales of different edge models are different in edge detection. The effective scales of different edge models based on compact,symmetry and smooth function are discussed in detail. The effective scale ranges of Gauss function and cubic B spline function to restrain noise are analyzed also. The conclusions of this paper are important in multiscale edge detection, and are the theoretic base of scale choice in edge detection.