Voronoi and related diagrams have technological applications, for example, in motion planning and surface reconstruction, and also find significant use in materials science, molecular biology, and crystallography. Apollonius diagrams arguably provide the most natural division of space for many materials and technology problems, but compared to Voronoi and power diagrams, their use has been limi...

Introduction. It is obvious that in the near future, issues of equipping moving robotic systems with autonomous control elements will remain relevant. This requires development models group pursuit. Note optimization pursuit tasks reduced to construction optimal trajectories (shortest trajectories, differential constraints, fuel consumption indicators). At same time, aspects automated distribut...

We measure the efficiency of the recently extended Circular kernel 2 cgal package in relation with the 2D Apollonius graph application. We provide results of benchmarking for both of the new and the stand-alone version of the code. This allows us to quantify the performance of the new version of the kernel, based on a concrete application. The proposed version seems to accelerate the constructi...

The multi-UAV task assignment problem in large-scale group-to-group interception scenarios presents challenges terms of large computational complexity and the lack accurate evaluation models. This paper proposes an effective model hierarchical framework to address these challenges. incorporates dynamics constraints specific fixed-wing UAVs improves Apollonius circle accurately describe cooperat...

Multi-agent differential games usually include tracking policies and escaping policies. To obtain the proper in unknown environments, agents can learn through reinforcement learning. This typically requires a large amount of interaction with environment, which is time-consuming inefficient. However, if one an estimated model based on some prior knowledge, control policy be obtained suboptimal k...

Abstract Philostratus’ Life of Apollonius uses the transmigration soul to tie present past through corporal metaphors cultural preservation. These are laced throughout Apollonius’ visits Indian Brahmans and Ethiopian naked sages (Gymnoi), two wisdom groups who respectively celebrate deny embodied knowledge that reincarnation allows. This somatic line thinking culminates in a debate over Gymnoi’...