Current Optics and Photonics

Optical Society of Korea (한국광학회)
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Compact Catadioptric Wide Imaging with Secondary Planar Mirror

  • Ko, Young-Jun (Department of Electrical and Information Engineering, Seoul National University of Science and Technology) ;
  • Yi, Soo-Yeong (Department of Electrical and Information Engineering, Seoul National University of Science and Technology)
  • Received : 2019.03.02
  • Accepted : 2019.05.31
  • Published : 2019.08.25
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Abstract

Wide FOV imaging systems are important for acquiring rich visual information. A conventional catadioptric imaging system deploys a camera in front of a curved mirror to acquire a wide FOV image. This is a cumbersome setup and causes unnecessary occlusions in the acquired image. In order to reduce both the burden of the camera deployment and the occlusions in the images, this study uses a secondary planar mirror in the catadioptric imaging system. A compact design of the catadioptric imaging system and a condition for the position of the secondary planar mirror to satisfy the central imaging are presented. The image acquisition model of the catadioptric imaging system with a secondary planar mirror is discussed based on the principles of geometric optics in this study. As a backward mapping, the acquired image is restored to a distortion-free image in the experiments.

Keywords

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FIG. 1. Design of the combined hyperbolic mirror.

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FIG. 2. Imaging system using the combined hyperbolic mirror and secondary planar mirror.

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FIG. 3. Image acquisition model on horizontal plane.

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FIG. 4. Image acquisition model for lower part of the mirror: (a) Cross-section in x − y(r − y) plane, (b) Front view.

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FIG. 5. Size and position of secondary planar mirror (top view).

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FIG. 6. Occlusion due to secondary planar mirror.

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FIG. 7. Hole size of primary curved mirror.

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FIG. 8. Imaging system using a combined hyperbolic mirror and secondary planar mirror: (a) Front and rear view of combined hyperbolic mirror with a camera, (b) Experimental setup with the secondary planar mirror.

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FIG. 9. Placement of the secondary planar mirror for central imaging: (a) Central image, (b) Non-central image.

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FIG. 10. Experimental result: (a) Original image, (b) Restored image: mercator image, (c) Restored image: bird’s eye view.

TABLE 1. Parameters of the combined hyperbolic mirror (mm)

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