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
Regarding the Chan Buddhism lamp records from the Song Dynasty and starting from Jing De Zhuan Deng Lu,the category of“enlightened masters in Chan Buddhism”禪門達者was listed separately,meaning a separate category w...Regarding the Chan Buddhism lamp records from the Song Dynasty and starting from Jing De Zhuan Deng Lu,the category of“enlightened masters in Chan Buddhism”禪門達者was listed separately,meaning a separate category was established for eccentric monks who pretended to be crazy,had unknown inheritance and miraculous deeds,and were difficult to classify.The following lamp records named this category of eccentric monks as“sages”散聖,or“saints”應化聖賢,which constructed another historical genealogy for the special Chan Buddhism eccentric monks.Moreover,the early lamp records included mostly idiosyncratic mad monks from previous dynasties.Since the Southern Song Dynasty,Chan Buddhism historical materials included many sages from the current dynasty.Therefore,this study mainly examines how the genealogy of Chan Buddhism eccentric monks was constructed in Song Dynasty Chan Buddhism lamp records,including quotations,and organizes the images of eccentric monks in the Song Dynasty,as written in Chan Buddhism historical materials,in order that the meaning of existence of these enlightened masters,sages,saints,etc.,included in the genealogy of Song Dynasty eccentric monks in the history of Chan Buddhism can be reflected.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
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.
文摘Regarding the Chan Buddhism lamp records from the Song Dynasty and starting from Jing De Zhuan Deng Lu,the category of“enlightened masters in Chan Buddhism”禪門達者was listed separately,meaning a separate category was established for eccentric monks who pretended to be crazy,had unknown inheritance and miraculous deeds,and were difficult to classify.The following lamp records named this category of eccentric monks as“sages”散聖,or“saints”應化聖賢,which constructed another historical genealogy for the special Chan Buddhism eccentric monks.Moreover,the early lamp records included mostly idiosyncratic mad monks from previous dynasties.Since the Southern Song Dynasty,Chan Buddhism historical materials included many sages from the current dynasty.Therefore,this study mainly examines how the genealogy of Chan Buddhism eccentric monks was constructed in Song Dynasty Chan Buddhism lamp records,including quotations,and organizes the images of eccentric monks in the Song Dynasty,as written in Chan Buddhism historical materials,in order that the meaning of existence of these enlightened masters,sages,saints,etc.,included in the genealogy of Song Dynasty eccentric monks in the history of Chan Buddhism can be reflected.
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.
