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.

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  1. S. K. NayarCatadioptric omnidirectional cameraProc. IEEE Computer Society Conference on Computer Vision and Pattern RecognitionUSA1997Jun.482488
  2. B. Micusik and T. PajdlaStructure from motion with wide circular field of view camerasIEEE Trans. Pattern Anal. Mach. Intell.20062811351149
  3. C.-C. Lin and M.-S. WangA vision based top-view transformation model for a vehicle parking assistantSensors (Basel)20121244314446
  4. B. Zhang, V. Appia, I. Pekkucuksen, Y. Liu, A. U. Batur, P. Shastry, S. Liu, S. Sivasankaran, and K. ChitnisA surround view camera solution for embedded systemsProc. IEEE Conference on Computer Vision and Pattern Recognition WorkshopsUSA2014Jun.676681
  5. Y.-Y. Chen, Y.-Y. Tu, C.-H. Chiu, and Y.-S. ChenAn embedded system for vehicle surrounding monitoringProc. 2nd International Conference on Power Electronics and Intelligent Transportation System (PEITS)China2009Dec.9295
  6. J. Kannala and S. S. BrandtA generic camera model and calibration method for conventional, wide-angle, and fish-eye lensesIEEE Trans. Pattern Anal. Mach. Intell.20062813351340
  7. S. Shestha, A. Overvig, and N. YuBroadband achromatic metasurface lensesProc. Conference on Lasers and Electro-Optics, OSA Technical DigestOptical Society of America2017(online)paper FM1H.3
  8. T. E. Boult and G. WolbergCorrecting chromatic aberrations using image warpingProc. IEEE Computer Society Conference on Computer Vision and Pattern RecognitionUSA1992Jun.684687
  9. Y. Yagi and S. KawatoPanorama scene analysis with conic projectionProc. IEEE International Workshop on Intelligent Robots and Systems, Towards a New Frontier of ApplicationsJapan1990Jul.181187
  10. R. Orghidan, J. Salvi, and E. M. MouaddibCalibration of a structured light-based stereo catadioptric sensorProc. Conference on Computer Vision and Pattern Recognition WorkshopUSA2003Jun.70
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  13. J. Gluckman and S. K. NayarCatadioptric stereo using planar mirrorsInt. J. Computer Vision2001446579
  14. J. Gluckman, S. K. Nayar, and K. J. ThoreszReal-time omnidirectional and panoramic stereoProc. DARPA Image Understanding WorkshopUSA1998Nov.299303
  15. G. Jang, S. Kim, and I. KweonSingle camera catadioptric stereo systemProc. of Workshop on Omnidirectional Vision, Camera Networks and Nonclassical cameras (OMNIVIS2005)China2005Oct.18
  16. T. Svoboda and T. PajdlarEpipolar geometry for central catadioptric camerasInt. J. Computer Vision2002492337
  17. S. Yi and N. AhujaAn omnidirectional stereo vision system using a single cameraProc. 18th International Conference on Pattern Recognition (ICPR’06)China2006Aug.861865
  18. S. Baker and S. K. NayarA theory of single-viewpoint catadioptric image formationInt. J. Computer Vision199935175196
  19. A. M. Bruckstein and T. J. RichardsonOmniview cameras with curved surface mirrorsProc. IEEE Workshop on Omnidirectional VisionUSA2000Jun.7984Cat. No.PR00704
  20. S. Yi and Y. KoWide field-of-view imaging using a combined hyperbolic mirrorCurr. Opt. Photon.20171336343
  21. C. Geyer and K. DaniilidisA unifying theory for central panoramic systems and practical implicationsProc. European Conference on Computer Vision (ECCV2000)Ireland2000Jun.445461

Other (21)

S. K. NayarCatadioptric omnidirectional cameraProc. IEEE Computer Society Conference on Computer Vision and Pattern RecognitionUSA1997Jun.482488

B. Micusik and T. PajdlaStructure from motion with wide circular field of view camerasIEEE Trans. Pattern Anal. Mach. Intell.20062811351149

C.-C. Lin and M.-S. WangA vision based top-view transformation model for a vehicle parking assistantSensors (Basel)20121244314446

B. Zhang, V. Appia, I. Pekkucuksen, Y. Liu, A. U. Batur, P. Shastry, S. Liu, S. Sivasankaran, and K. ChitnisA surround view camera solution for embedded systemsProc. IEEE Conference on Computer Vision and Pattern Recognition WorkshopsUSA2014Jun.676681

Y.-Y. Chen, Y.-Y. Tu, C.-H. Chiu, and Y.-S. ChenAn embedded system for vehicle surrounding monitoringProc. 2nd International Conference on Power Electronics and Intelligent Transportation System (PEITS)China2009Dec.9295

J. Kannala and S. S. BrandtA generic camera model and calibration method for conventional, wide-angle, and fish-eye lensesIEEE Trans. Pattern Anal. Mach. Intell.20062813351340

S. Shestha, A. Overvig, and N. YuBroadband achromatic metasurface lensesProc. Conference on Lasers and Electro-Optics, OSA Technical DigestOptical Society of America2017(online)paper FM1H.3

T. E. Boult and G. WolbergCorrecting chromatic aberrations using image warpingProc. IEEE Computer Society Conference on Computer Vision and Pattern RecognitionUSA1992Jun.684687

Y. Yagi and S. KawatoPanorama scene analysis with conic projectionProc. IEEE International Workshop on Intelligent Robots and Systems, Towards a New Frontier of ApplicationsJapan1990Jul.181187

R. Orghidan, J. Salvi, and E. M. MouaddibCalibration of a structured light-based stereo catadioptric sensorProc. Conference on Computer Vision and Pattern Recognition WorkshopUSA2003Jun.70

R. Orghidan, E. M. Mouaddib, and J. SalviA computer vision sensor for panoramic depth perceptionProc. 2nd Iberian Conference on Pattern Recognition and Image AnalysisPortugal2005Jun.153160

S. Yi, B. Choi, and N. AhujaReal-time omni-directional distance measurement with active panoramic visionInt. J. Control Autom. Syst.20075184191

J. Gluckman and S. K. NayarCatadioptric stereo using planar mirrorsInt. J. Computer Vision2001446579

J. Gluckman, S. K. Nayar, and K. J. ThoreszReal-time omnidirectional and panoramic stereoProc. DARPA Image Understanding WorkshopUSA1998Nov.299303

G. Jang, S. Kim, and I. KweonSingle camera catadioptric stereo systemProc. of Workshop on Omnidirectional Vision, Camera Networks and Nonclassical cameras (OMNIVIS2005)China2005Oct.18

T. Svoboda and T. PajdlarEpipolar geometry for central catadioptric camerasInt. J. Computer Vision2002492337

S. Yi and N. AhujaAn omnidirectional stereo vision system using a single cameraProc. 18th International Conference on Pattern Recognition (ICPR’06)China2006Aug.861865

S. Baker and S. K. NayarA theory of single-viewpoint catadioptric image formationInt. J. Computer Vision199935175196

A. M. Bruckstein and T. J. RichardsonOmniview cameras with curved surface mirrorsProc. IEEE Workshop on Omnidirectional VisionUSA2000Jun.7984Cat. No.PR00704

S. Yi and Y. KoWide field-of-view imaging using a combined hyperbolic mirrorCurr. Opt. Photon.20171336343

C. Geyer and K. DaniilidisA unifying theory for central panoramic systems and practical implicationsProc. European Conference on Computer Vision (ECCV2000)Ireland2000Jun.445461

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