Kinetic space-time prisms
Kinetic space-time prisms
复制标题
DOI：
10.1145/2093973.2093996
复制
发表时间：
2011-11
期刊：
影响因子：
--
通讯作者：
B. Kuijpers;H. Miller;W. Othman
中科院分区：
文献类型：
--
作者：
B. Kuijpers;H. Miller;W. Othman
时空路径和棱镜分别划定了运动物体相对于时间的估计位置和潜在位置。路径通常是通过在运动物体的采样位置之间的线性插值形成的，而棱镜是给定最大旅行速度的两个位置之间所有可能路径的包络线。然而，经典的路径和棱镜在物理上是不现实的，因为它们暗示了物体在没有加速和减速的情况下瞬间改变方向和速度的能力。这在动力学对科学理解至关重要的应用中是不可接受的，例如动物生态学，通过介质移动的车辆（例如通过水的船舶和通过空气的飞机），人力运动（例如骑自行车和步行）以及交通运输的环境应用（例如能源消耗和排放建模）。在本文中，我们展示了如何施加一个上界的加速度，以及信息，如初始速度和航向，影响几何的时空棱镜。讨论了如何在一维和二维空间中计算运动路径和棱镜，并给出了运动棱镜和经典棱镜的比较实例。
The space-time path and prism demarcate the estimated and potential locations (respectively) of a moving object with respect to time. The path is typically formed through linear interpolation between sampled locations of a moving object, while the prism is the envelope of all possible paths between two locations given the maximum speed of travel. The classic path and prism, however, are not physically realistic since they imply the ability of the object to make instantaneous changes in direction and speed without acceleration and deceleration. This is not acceptable in applications where kinetics is vital for scientific understanding such as animal ecology, vehicles moving through media such as ships through water and planes through air, human-powered movement such as bicycling and walking and environmental applications of transportation such as energy consumption and emissions modeling. In this paper we demonstrate how imposing an upper bound on acceleration, as well as information such as the initial speed and heading, affects the geometry of the space-time prism. We discuss how to calculate kinetic paths and prisms in one-dimensional and two dimensional space, and provide examples comparing the kinetic prisms and classical prisms.