Krill-eye : Superposition compound eye for wide-angle imaging via GRIN lenses

We propose a novel wide angle imaging system inspired by compound eyes of animals. Instead of using a single lens, well compensated for aberration, we used a number of simple lenses to form a compound eye which produces practically distortion-free, uniform images with angular variation. The images formed by the multiple lenses are superposed on a single surface for increased light efficiency. We use GRIN (gradient refractive index) lenses to create sharply focused images without the artifacts seen when using reflection based methods for X-ray astronomy. We show the theoretical constraints for forming a blur-free image on the image sensor, and derive a continuum between 1 ∶ 1 flat optics for document scanners and curved sensors focused at infinity. Finally, we show a practical application of the proposed optics in a beacon to measure the relative rotation angle between the light source and the camera with ID information.

[1]  Shree K. Nayar,et al.  Ego-motion and omnidirectional cameras , 1998, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271).

[2]  W. Lama,et al.  Some radiometric properties of gradient-index fiber lenses. , 1980, Applied optics.

[3]  Andreas Tünnermann,et al.  Artificial apposition compound eye fabricated by micro-optics technology. , 2004, Applied optics.

[4]  Timothy P. Grayson,et al.  Curved focal plane wide-field-of-view telescope design , 2002, SPIE Astronomical Telescopes + Instrumentation.

[5]  Yasushi Yagi,et al.  Omnidirectional imaging with hyperboloidal projection , 1993, Proceedings of 1993 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS '93).

[6]  Pradyumna Kumar Swain,et al.  Curved CCD detector devices and arrays for multispectral astrophysical applications and terrestrial stereo panoramic cameras , 2004, SPIE Astronomical Telescopes + Instrumentation.

[7]  Todor Georgiev On the Brightness in Images Captured with Conventional and Compound Eye Cameras , 2004 .

[8]  Koji Yoshida,et al.  An Omnidirectional Vision Sensor with Single View and Constant Resolution , 2007, 2007 IEEE 11th International Conference on Computer Vision.

[9]  J D Rees,et al.  Non-Gaussian imaging properties of GRIN fiber lens arrays. , 1982, Applied optics.

[10]  Tomás Svoboda,et al.  Epipolar Geometry of Panoramic Cameras , 1998, ECCV.

[11]  K A Nugent,et al.  X-ray focusing with lobster-eye optics: a comparison of theory with experiment. , 1996, Applied optics.

[12]  M C Hutley,et al.  Imaging properties of the Gabor superlens , 1999 .

[13]  Frank Wippermann,et al.  Micro-optical artificial compound eyes. , 2006 .

[14]  Katsushi Ikeuchi,et al.  Simple Surface Reflectance Estimation of Diffuse Outdoor Object using Spherical Images , 2007 .

[15]  Ramesh Raskar,et al.  Bokode: imperceptible visual tags for camera based interaction from a distance , 2009, ACM Trans. Graph..

[16]  Carlos Gómez-Reino,et al.  Limitation in the Cone of Light through GRIN Lenses: Stops, Pupils and Vignetting , 1992 .

[17]  M Toyama,et al.  Unevenness of illuminance caused by gradient-index fiber arrays. , 1980, Applied optics.

[18]  Ulrich Amsel,et al.  The History of the Photographic Lens , 1922, Nature.

[19]  R. A. Hicks,et al.  Equiresolution catadioptric sensors. , 2005, Applied optics.

[20]  P. Peumans,et al.  Curving monolithic silicon for nonplanar focal plane array applications , 2008 .

[21]  Y Sumi,et al.  Spherical gradient-index sphere lens. , 1986, Applied optics.

[22]  Andrew Lawrence,et al.  LOBSTER-ISS: an imaging x-ray all-sky monitor for the International Space Station , 2002, SPIE Optics + Photonics.

[23]  Yasushi Yagi,et al.  Wide Field of View Head Mounted Display for Tele-presence with An Omnidirectional Image Sensor , 2003, 2003 Conference on Computer Vision and Pattern Recognition Workshop.

[24]  J. Tanida,et al.  Thin Observation Module by Bound Optics (TOMBO): Concept and Experimental Verification. , 2001, Applied optics.