1 / 21

360 x 360 Mosaics

360 x 360 Mosaics. Shree K. Nayar and Amruta Karmarkar Computer Science Department Columbia University IEEE CVPR Conference June 2000, Hilton Head Island, USA Sponsors: ONR MURI , Packard Foundation . Goal. Easy Capture Process Use a Low Resolution CCD

tamma
Download Presentation

360 x 360 Mosaics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 360 x 360 Mosaics Shree K. Nayar and Amruta Karmarkar Computer Science Department Columbia University IEEE CVPR Conference June 2000, Hilton Head Island, USA Sponsors: ONR MURI , Packard Foundation

  2. Goal • Easy Capture Process • Use a Low Resolution CCD • Compute a High Resolution Mosaic

  3. k+1 Rotation from Correspondences: Spherical Mosaics from Strips Spherical Panorama : Unit Sphere : z Strip Half - Strip 180 k y x 0 360

  4. Capturing 360 Degree Strips Fish Eye Lens : Catadioptric Imaging : Examples: Rees 70, Rosendahl 83, Charles 87, Nayar 88, Yagi 90, Hong 91, Powell 95, Yamazawa 95, Bogner 95, Nalwa 96, Nayar 97, Chahl & Srinivasan 97 Examples: Wood 1906, Miyamoto 64, Hall 87, Zimmerman 93 , Poelstra 96 , Kuban et al. 94

  5. pixel image plane c mirror z (r) Resolution of Camera + Lens Resolution of Complete System viewpoint Resolution of a Catadioptric System ( Baker & Nayar 98 )

  6. Minimum Compression

  7. 180 700 pixels (8 pixels per deg.) 0 360 Spherical Mosaic From Strips

  8. Spherical Mosaics from Slices Spherical Panorama : Unit Sphere : z Slice Half - Slice 180 y x 0 360

  9. R 2 I R i 1 Example: Image: 500 x 500 pixels Samples On Outer Ring: 1500 Pixels Samples In 6-Pixel Disc: 4500 Pixels Increase in Samples: 3 : 1 High Resolution Slices Image Samples Slice d

  10. Perspective Projection : Specular Reflection : Local Mirror Slope : Deriving Sheet Cameras : Formulation image plane pinhole normal parallel sheet of rays c z Mirror z(r) r viewpoint

  11. Differential Equation : Mirror Shape : Deriving Sheet Cameras : Formulation

  12. Parabola Telecentric Lens : Parabola Parabola Parabola Image plane Conical mirror Parallel Sheet Rays 360 Slice Cameras Perspective Lens : Image plane Hat mirror Parallel Sheet Rays

  13. paraboloid mirror ellipsoidal mirror parallel sheet parallel sheet hat-shapped mirror conical mirror camera camera Variants : Folded Slice Cameras

  14. 360 Sheet Camera Rotation

  15. 360 x 360 Spherical Mosaic

  16. Reconstruction of Step Edge 1 Pixel Disc 4 Pixel Disc edge

  17. Left and Right Views : Left Right 360 Slice b b / 2 Right Left Stereo Panoramas: Ishiguro et al. 92, Huang and Hung 92 Peleg and Ben-Ezra 99, Shum et al. 99 360 x 360 Stereo Mosaics Slice Camera Rotation :

  18. Left Panorama Right Panorama

  19. Increase in Resolution: 2:1 Smaller Fields of View ( Panoramas ) 45 deg 640 pixels 0 deg. -45 deg 480 pixels

  20. Stereoscopic Panorama

  21. Catadioptrics: Solid Angles to Image Areas Summary • 360 x 360 Spherical Mosaics • Regular and Stereo • High Resolution Slice Cameras

More Related