In camera sensor networks (CSNs), full view coverage, meaning that any direction of any point in the operational region is covered by at least one camera sensor, plays a significant role in object identification. While prior work is dedicated to static CSNs for the sake of critical condition to achieve full view coverage, such performance still remains unknown in mobile CSNs. In this paper, we take the initiative to address this issue, where a centralized parameter, i.e., equivalent sensing radius (ESR), is defined to unravel the critical requirement for asymptotic full view coverage in mobile heterogeneous CSNs in the sense that camera sensors of different sensing capabilities are moving around in target area. Specifically, we derive ESR under three different mobilities, i.e., 1-dimensional and 2-dimensional random walks and random rotating model, and then explore respectively the corresponding critical conditions to achieve almost surely coverage.1 The static network is introduced as a baseline in order to gain a clear understanding of how mobility affects coverage performance differently. Interestingly, we find that both 1-dimensional and 2-dimensional random walks exhibit a smaller ESR than static one whereas ESR is even larger in random rotating mobility than that in static CSNs. Moreover, the almost surely coverage is found to be around 1.225 times of the critical condition to achieve coverage with high probability,2 and therefore turns out to be a stronger result compared to the traditional coverage with high probability. We then turn to the impact of various mobility patterns on sensing energy consumption, a metric that is closely related to ESR, and show that it can be decreased by random walks under certain delay tolerance. The relationship between ESR and percentage of full view coverage is also discussed and the results unify those under homogeneous CSNs.

中文翻译：

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揭示临界传感范围对移动相机传感器网络的影响

在相机传感器网络 (CSN) 中，全视野覆盖，意味着操作区域中任何点的任何方向都被至少一个相机传感器覆盖，在物体识别中起着重要作用。虽然先前的工作致力于静态 CSNs 以达到实现全视图覆盖的关键条件，但这种性能在移动 CSNs 中仍然未知。在本文中，我们主动解决了这个问题，其中定义了一个集中参数，即等效传感半径（ESR），以阐明移动异构 CSN 中渐近全视图覆盖的关键要求，因为相机传感器不同的传感能力在目标区域内移动。具体来说，我们推导出三种不同迁移率下的 ESR，即一维和二维随机游走和随机旋转模型，然后分别探讨相应的临界条件以实现几乎肯定的覆盖。1 引入静态网络作为基线，以便清楚地了解移动性如何以不同的方式影响覆盖性能。有趣的是，我们发现一维和二维随机游走都表现出比静态随机游走更小的 ESR，而随机旋转迁移率的 ESR 甚至比静态 CSN 中的更大。此外，发现几乎可以肯定的覆盖率约为临界条件的 1.225 倍，以实现高概率覆盖2，因此与传统高概率覆盖相比，这是一个更强的结果。然后我们转向各种移动模式对感知能耗的影响，这是一个与 ESR 密切相关的指标，并表明在一定的延迟容忍度下可以通过随机游走来减少它。还讨论了 ESR 与全视图覆盖百分比之间的关系，并且结果统一了同类 CSN 下的结果。