Achieving optimal spatial resolution in imaging systems plays a major role in the design of vision-based industrial inspection tools. Single-view omnidirectional imaging systems provide a cost-effective and computationally-traceable solution for real-time inspection of infrastructure with a favorable size factor. We formulate, for the first time, the spatial cylindrical resolution of omnidirectional Catadioptric and Dioptric imaging systems with the focus on pipe inspection applications. We also provide a design guideline to achieve the highest resolution in these systems. First, we deliver a comprehensive study on optimal resolution in Catadioptric imaging systems which consist of a perspective pinhole camera, a collimated laser as the light source, and a reflective surface (i.e., hyperbolic mirror). Variation of the spatial resolution in terms of the camera's focal length, the mirror curvature, and the relative position between the laser projector and the camera is fully investigated via simulation and experiments. Also, the optimal resolution in Dioptric systems, which consist of a camera with compound refractive lenses (i.e., fish-eye lens) is studied and compared with that in Catadioptric systems. Tests were conducted on a 40-cm-diameter PVC pipe in a controlled laboratory environment.

在成像系统中实现最佳空间分辨率在基于视觉的工业检查工具的设计中起着重要作用。单视图全向成像系统提供了一种经济高效且可计算跟踪的解决方案，用于以有利的尺寸系数对基础设施进行实时检查。我们首次制定了全向折反射和折光成像系统的空间圆柱分辨率，重点是管道检测应用。我们还提供了设计指南，以在这些系统中实现最高分辨率。首先，我们对折反射成像系统中的最佳分辨率进行了全面的研究，该系统由透视针孔相机，准直激光器作为光源和反射面（即双曲镜）组成。通过仿真和实验，可以充分研究空间分辨率在相机焦距，镜面曲率以及激光投影仪与相机之间的相对位置方面的变化。此外，还研究了由具有复折射透镜（即鱼眼镜头）的照相机组成的屈光系统的最佳分辨率，并将其与折反射系统的最佳分辨率进行了比较。在直径为40厘米的PVC管上在受控的实验室环境中进行测试。鱼眼镜头）进行了研究，并与折反射系统中的鱼眼镜头进行了比较。在直径为40厘米的PVC管上在受控的实验室环境中进行测试。鱼眼镜头）进行了研究，并与折反射系统中的鱼眼镜头进行了比较。在直径为40厘米的PVC管上在受控的实验室环境中进行测试。