将Tony F Chan提出的基于曲线进化、Mumford-shah泛函和level set技术的没有边界泛函的活动轮廓模型与Gabor滤波器相结合,利用Tony F Chan提出的不依赖于边界梯度的活动轮廓能够检测出边界梯度较弱的物体边界与Gabor滤波器能在不同方向...将Tony F Chan提出的基于曲线进化、Mumford-shah泛函和level set技术的没有边界泛函的活动轮廓模型与Gabor滤波器相结合,利用Tony F Chan提出的不依赖于边界梯度的活动轮廓能够检测出边界梯度较弱的物体边界与Gabor滤波器能在不同方向和频率增强图像的特点,先对原始细胞图像进行不同角度、不同频率Gabor滤波从而在不同方向增强细胞边界削弱细胞内部信息,然后把不同方向滤波后的图像融合以得到边界增强噪声减少的图像,最后在该图像上应用活动轮廓取得了较好的分割效果。展开更多
In this paper, the authors propose a new model for active contours segmentation in a given image, based on Mumford-Shah functional (Mumford and Shah, 1989). The model is composed of a system of differential and integr...In this paper, the authors propose a new model for active contours segmentation in a given image, based on Mumford-Shah functional (Mumford and Shah, 1989). The model is composed of a system of differential and integral equations. By the experimental results we can keep the advantages of Chan and Vese's model (Chan and Vese, 2001 ) and avoid the regularization for Dirac function. More importantly, in theory we prove that the system has a unique viscosity solution.展开更多
In this paper, Crouzeix-Raveart type nonconforming rectangular element is applied to the Mumford-Shah functional for image segmentation subjected to Robin boundary conditions. Meanwhile, by using the special orthogona...In this paper, Crouzeix-Raveart type nonconforming rectangular element is applied to the Mumford-Shah functional for image segmentation subjected to Robin boundary conditions. Meanwhile, by using the special orthogonality of this element＇s basic functions, the convergence analysis for L2-norm and broken H1-norm with semi-implicit scheme is presented. And the error order is improved to the optimal, too.展开更多
文摘将Tony F Chan提出的基于曲线进化、Mumford-shah泛函和level set技术的没有边界泛函的活动轮廓模型与Gabor滤波器相结合,利用Tony F Chan提出的不依赖于边界梯度的活动轮廓能够检测出边界梯度较弱的物体边界与Gabor滤波器能在不同方向和频率增强图像的特点,先对原始细胞图像进行不同角度、不同频率Gabor滤波从而在不同方向增强细胞边界削弱细胞内部信息,然后把不同方向滤波后的图像融合以得到边界增强噪声减少的图像,最后在该图像上应用活动轮廓取得了较好的分割效果。
文摘In this paper, the authors propose a new model for active contours segmentation in a given image, based on Mumford-Shah functional (Mumford and Shah, 1989). The model is composed of a system of differential and integral equations. By the experimental results we can keep the advantages of Chan and Vese's model (Chan and Vese, 2001 ) and avoid the regularization for Dirac function. More importantly, in theory we prove that the system has a unique viscosity solution.
文摘In this paper, Crouzeix-Raveart type nonconforming rectangular element is applied to the Mumford-Shah functional for image segmentation subjected to Robin boundary conditions. Meanwhile, by using the special orthogonality of this element＇s basic functions, the convergence analysis for L2-norm and broken H1-norm with semi-implicit scheme is presented. And the error order is improved to the optimal, too.
