A theory of catadioptric image formation

Simon Baker, S. Nayar
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引用次数: 435

Abstract

Conventional video cameras have limited fields of view which make them restrictive for certain applications in computational vision. A catadioptric sensor uses a combination of lenses and mirrors placed in a carefully arranged configuration to capture a much wider field of view. When designing a catadioptric sensor, the shape of the mirror(s) should ideally be selected to ensure that the complete catadioptric system has a single effective viewpoint. In this paper, we derive the complete class of single-lens single-mirror catadioptric sensors which have a single viewpoint and an expression for the spatial resolution of a catadioptric sensor in terms of the resolution of the camera used to construct it. We also include a preliminary analysis of the defocus blur caused by the use of a curved mirror.
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反射象形成的理论
传统的视频摄像机具有有限的视场,这限制了它们在计算视觉中的某些应用。反射式传感器将镜头和反射镜组合在一起,精心布置,以捕捉更广阔的视野。在设计反射光传感器时,应理想地选择反射镜的形状,以确保整个反射光系统具有单一有效视点。本文导出了具有单视点的单透镜单镜反射式传感器的完备类,并给出了反射式传感器的空间分辨率用构造它的相机分辨率表示的表达式。我们还包括对使用曲面镜引起的散焦模糊的初步分析。
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