360 x 360 Mosaics

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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

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Goal

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

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Spherical Mosaics from Strips
Spherical Panorama
Unit Sphere
z
Strip
Half - Strip
180
k
y
x
0
360
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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
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Resolution of a Catadioptric System
( Baker Nayar 98 )
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(No Transcript)
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Spherical Mosaic From Strips
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Spherical Mosaics from Slices
Spherical Panorama
Unit Sphere
z
Slice
Half - Slice
180
y
x
0
360
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High Resolution Slices
Image
Samples
Slice
d
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Deriving Sheet Cameras Formulation
image plane
pinhole
normal
parallel sheet of rays
c
z
Mirror z(r)
r
viewpoint
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Deriving Sheet Cameras Formulation
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360 Slice Cameras
Perspective Lens
Image plane
Hat mirror
Parallel Sheet Rays
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Variants Folded Slice Cameras
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360 Sheet Camera Rotation
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360 x 360 Spherical Mosaic
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Reconstruction of Step Edge
1 Pixel Disc
4 Pixel Disc
edge
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360 x 360 Stereo Mosaics
Slice Camera Rotation
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Left Panorama
Right Panorama
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Smaller Fields of View ( Panoramas )
45 deg
640 pixels
0 deg.
-45 deg
480 pixels
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Stereoscopic Panorama
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Summary

• 360 x 360 Spherical Mosaics

• Regular and Stereo

• High Resolution Slice Cameras