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基于小波边缘刻画与LBF水平集变分模型的图像分割
杨志巧, 羿旭明
武汉大学数学与统计学院
摘要:
本文基于LBF图像水平集分割模型,构造了基于二维小波变换的图像边缘刻画函数,并引入到LBF水平集分割变分模型中,建立了基于小波变换的WLBF模型,同时给出了WLBF模型的数值求解算法。之后针对不同情景下的典型灰度图像,给出了图像分割实例,显示出WLBF模型及算法对图像分割的有效性。
关键词:  图像分割  水平集 小波变换  变分法
DOI:
分类号:O29
基金项目:国家自然科学基金面上项目(11671307).
A level set method for image segmentation based on wavelet edge characterization and LBF model
ZhiqiaoYang
Wuhan universitySchool of Mathematics and Statistics,Hubei Wuhan
Abstract:
Based on the LBF image level set segmentation model, this paper constructed the image edge characterization function based on two-dimensional wavelet transform, which is introduced into the LBF level set segmentation variational model, the WLBF model based on wavelet transform is established and the numerical solution algorithm of the WLBF model is also given. Subsequently, the image segmentation examples is conducted on the typical gray image in different situations. According to the aspects of segmentation accuracy and efficiency,the effectiveness of WLBF model and algorithm is analyzed.
Key words:  Image Segmentation  Level set  Wavelet Transform  Variational