In this paper,we consider the Chan–Vese(C-V)model for image segmentation and obtain its numerical solution accurately and efficiently.For this purpose,we present a local radial basis function method based on a Gaussi...In this paper,we consider the Chan–Vese(C-V)model for image segmentation and obtain its numerical solution accurately and efficiently.For this purpose,we present a local radial basis function method based on a Gaussian kernel(GA-LRBF)for spatial discretization.Compared to the standard radial basis functionmethod,this approach consumes less CPU time and maintains good stability because it uses only a small subset of points in the whole computational domain.Additionally,since the Gaussian function has the property of dimensional separation,the GA-LRBF method is suitable for dealing with isotropic images.Finally,a numerical scheme that couples GA-LRBF with the fourth-order Runge–Kutta method is applied to the C-V model,and a comparison of some numerical results demonstrates that this scheme achieves much more reliable image segmentation.展开更多
The culture of landscape constitutes one of the vital characteristics of Chinese culture,in which,Chan Buddhism is a typical kind of Buddhist culture expressed by the natural objects.Chinese Buddhism,represented by Ch...The culture of landscape constitutes one of the vital characteristics of Chinese culture,in which,Chan Buddhism is a typical kind of Buddhist culture expressed by the natural objects.Chinese Buddhism,represented by Chan School,is interpreted by the beautiful natural scenery,therefore it is closely related to the tourism from the ancient time.However,this link is to defend Buddhist tourism,which is inevitably criticized,since the secularization of sacred Buddhism,though Buddhist tourism is beneficial for life,society,economy,and Buddhism itself.But this sort of criticism is a misunderstanding of Chinese Buddhism since that Chinese Buddhism absorbs Zhuang Zi’s thought that“the ultimate truth(道)is in shit(屎尿)”1,so that it purports to the sacred dimension which is overlapped by the secular aspect.For example,the short poems composed by masters in Chan School“The Buddhist dharma is in this world,so that the enlightenment could not be realized outside of the human world”,“where there is bamboo and flower,there is dharma and prajna”,are the best way to express this kind of divine concept,moreover,Buddhist tourism is an effective practice to allocate this divine connotation.展开更多
TDOA(Time Difference of Arrival)测距方式是UWB(Ultra Wide Band)室内定位的常用方法,针对其不可避免的随机误差以及目标改变运动状态定位不准确的问题,文中提出了一种Chan-Taylor-IMMKF(Interacting Multiple Model Kalman Filter)...TDOA(Time Difference of Arrival)测距方式是UWB(Ultra Wide Band)室内定位的常用方法,针对其不可避免的随机误差以及目标改变运动状态定位不准确的问题,文中提出了一种Chan-Taylor-IMMKF(Interacting Multiple Model Kalman Filter)定位算法。该算法由Chan-Taylor加权算法与加入自适应算法IMM卡尔曼滤波算法组成,通过Chan-Taylor加权算法初次取得目标估计坐标,将该坐标值作为自适应算法IMM的卡尔曼滤波器的测量值,对目标坐标进行多次滤波处理,最终加权得到目标的最终估计坐标。实验将该算法与未滤波的Chan-Taylor加权算法、使用传统的卡尔曼滤波算法进行对比,结果显示该算法有效减小了系统的随机误差,并克服了传统卡尔曼滤波器在目标忽然改变运动状态时不能及时跟踪从而产生较大误差的问题,将误差标准差均值控制在15 cm之内。展开更多
基金sponsored by Guangdong Basic and Applied Basic Research Foundation under Grant No.2021A1515110680Guangzhou Basic and Applied Basic Research under Grant No.202102020340.
文摘In this paper,we consider the Chan–Vese(C-V)model for image segmentation and obtain its numerical solution accurately and efficiently.For this purpose,we present a local radial basis function method based on a Gaussian kernel(GA-LRBF)for spatial discretization.Compared to the standard radial basis functionmethod,this approach consumes less CPU time and maintains good stability because it uses only a small subset of points in the whole computational domain.Additionally,since the Gaussian function has the property of dimensional separation,the GA-LRBF method is suitable for dealing with isotropic images.Finally,a numerical scheme that couples GA-LRBF with the fourth-order Runge–Kutta method is applied to the C-V model,and a comparison of some numerical results demonstrates that this scheme achieves much more reliable image segmentation.
基金supported by the funding of program name“The Research of East Asian and Chinese Religion”(东亚与中国宗教研究).Project No.22JJD730002.
文摘The culture of landscape constitutes one of the vital characteristics of Chinese culture,in which,Chan Buddhism is a typical kind of Buddhist culture expressed by the natural objects.Chinese Buddhism,represented by Chan School,is interpreted by the beautiful natural scenery,therefore it is closely related to the tourism from the ancient time.However,this link is to defend Buddhist tourism,which is inevitably criticized,since the secularization of sacred Buddhism,though Buddhist tourism is beneficial for life,society,economy,and Buddhism itself.But this sort of criticism is a misunderstanding of Chinese Buddhism since that Chinese Buddhism absorbs Zhuang Zi’s thought that“the ultimate truth(道)is in shit(屎尿)”1,so that it purports to the sacred dimension which is overlapped by the secular aspect.For example,the short poems composed by masters in Chan School“The Buddhist dharma is in this world,so that the enlightenment could not be realized outside of the human world”,“where there is bamboo and flower,there is dharma and prajna”,are the best way to express this kind of divine concept,moreover,Buddhist tourism is an effective practice to allocate this divine connotation.
