In this paper, an implicit symmetry constraint is calculated and its associated binary nonlinearization of the Lax pairs and the adjoint Lax pairs is carried out for the modified Korteweg-de Vries (mKdV) equation. Aft...In this paper, an implicit symmetry constraint is calculated and its associated binary nonlinearization of the Lax pairs and the adjoint Lax pairs is carried out for the modified Korteweg-de Vries (mKdV) equation. After introducing two new inde-pendent variables, we find that under the implicit symmetry constraint, the spatial part and the temporal part of the mKdV equation are decomposed into two finite-dimensional systems. Furthermore we prove that the obtained finite-dimensional systems are Hamiltonian systems and completely integrable in the Liouville sense.展开更多
This paper presents a parallel method for simulating real-time 3D deformable objects using the volume preservation mass-spring system method on tetrahedron meshes.In general,the conventional mass-spring system is mani...This paper presents a parallel method for simulating real-time 3D deformable objects using the volume preservation mass-spring system method on tetrahedron meshes.In general,the conventional mass-spring system is manipulated as a force-driven method because it is fast,simple to implement,and the parameters can be controlled.However,the springs in traditional mass-spring system can be excessively elongated which cause severe stability and robustness issues that lead to shape restoring,simulation blow-up,and huge volume loss of the deformable object.In addition,traditional method that uses a serial process of the central processing unit(CPU)to solve the system in every frame cannot handle the complex structure of deformable object in real-time.Therefore,the first order implicit constraint enforcement for a mass-spring model is utilized to achieve accurate visual realism of deformable objects with tough constraint error.In this paper,we applied the distance constraint and volume conservation constraints for each tetrahedron element to improve the stability of deformable object simulation using the mass-spring system and behave the same as its real-world counterparts.To reduce the computational complexity while ensuring stable simulation,we applied a method that utilizes OpenGL compute shader,a part of OpenGL Shading Language(GLSL)that executes on the graphic processing unit(GPU)to solve the numerical problems effectively.We applied the proposed methods to experimental volumetric models,and volume percentages of all objects are compared.The average volume percentages of all models during the simulation using the mass-spring system,distance constraint,and the volume constraint method were 68.21%,89.64%,and 98.70%,respectively.The proposed approaches are successfully applied to improve the stability of mass-spring system and the performance comparison from our experimental tests also shows that the GPU-based method is faster than CPU-based implementation for all cases.展开更多
介绍了一种研究系统特权安全问题的方法.由于其特有的迁移系统安全状态的能力,使得分析及保护系统特权都很困难,因此,传统访问控制研究中所采用的技术无法复制到该领域.在访问控制空间理论下,检查了系统特权的来源问题及其特点,从而将...介绍了一种研究系统特权安全问题的方法.由于其特有的迁移系统安全状态的能力,使得分析及保护系统特权都很困难,因此,传统访问控制研究中所采用的技术无法复制到该领域.在访问控制空间理论下,检查了系统特权的来源问题及其特点,从而将系统规则划分为约束规则与执行规则两类,分别描述授权的限制与效果.进一步对规则逻辑形式进行推导,发现特权操作问的特殊授权关系以及相关属性,并设计了一种快速构造授权推导图的算法.在此基础上,分析隐式授权安全问题可能存在的滥用特权威胁.最后对POSIX(portable operating system interface)标准的权能机制进行形式化描述,计算并构造其授权推导图.对标准设计中存在的滥用威胁提供了对策,有效地实现了与最小特权原则的一致性.展开更多
文摘In this paper, an implicit symmetry constraint is calculated and its associated binary nonlinearization of the Lax pairs and the adjoint Lax pairs is carried out for the modified Korteweg-de Vries (mKdV) equation. After introducing two new inde-pendent variables, we find that under the implicit symmetry constraint, the spatial part and the temporal part of the mKdV equation are decomposed into two finite-dimensional systems. Furthermore we prove that the obtained finite-dimensional systems are Hamiltonian systems and completely integrable in the Liouville sense.
基金This work was supported by the Basic Science Research Program through the National Research Foundation of Korea(NRF-2019R1F1A1062752)funded by the Ministry of Education+1 种基金was funded by BK21 FOUR(Fostering Outstanding Universities for Research)(No.:5199990914048)and was also supported by the Soonchunhyang University Research Fund.
文摘This paper presents a parallel method for simulating real-time 3D deformable objects using the volume preservation mass-spring system method on tetrahedron meshes.In general,the conventional mass-spring system is manipulated as a force-driven method because it is fast,simple to implement,and the parameters can be controlled.However,the springs in traditional mass-spring system can be excessively elongated which cause severe stability and robustness issues that lead to shape restoring,simulation blow-up,and huge volume loss of the deformable object.In addition,traditional method that uses a serial process of the central processing unit(CPU)to solve the system in every frame cannot handle the complex structure of deformable object in real-time.Therefore,the first order implicit constraint enforcement for a mass-spring model is utilized to achieve accurate visual realism of deformable objects with tough constraint error.In this paper,we applied the distance constraint and volume conservation constraints for each tetrahedron element to improve the stability of deformable object simulation using the mass-spring system and behave the same as its real-world counterparts.To reduce the computational complexity while ensuring stable simulation,we applied a method that utilizes OpenGL compute shader,a part of OpenGL Shading Language(GLSL)that executes on the graphic processing unit(GPU)to solve the numerical problems effectively.We applied the proposed methods to experimental volumetric models,and volume percentages of all objects are compared.The average volume percentages of all models during the simulation using the mass-spring system,distance constraint,and the volume constraint method were 68.21%,89.64%,and 98.70%,respectively.The proposed approaches are successfully applied to improve the stability of mass-spring system and the performance comparison from our experimental tests also shows that the GPU-based method is faster than CPU-based implementation for all cases.
文摘介绍了一种研究系统特权安全问题的方法.由于其特有的迁移系统安全状态的能力,使得分析及保护系统特权都很困难,因此,传统访问控制研究中所采用的技术无法复制到该领域.在访问控制空间理论下,检查了系统特权的来源问题及其特点,从而将系统规则划分为约束规则与执行规则两类,分别描述授权的限制与效果.进一步对规则逻辑形式进行推导,发现特权操作问的特殊授权关系以及相关属性,并设计了一种快速构造授权推导图的算法.在此基础上,分析隐式授权安全问题可能存在的滥用特权威胁.最后对POSIX(portable operating system interface)标准的权能机制进行形式化描述,计算并构造其授权推导图.对标准设计中存在的滥用威胁提供了对策,有效地实现了与最小特权原则的一致性.
