<font size=+1>Patents and Publications</font> Patents

  • US 6412961 Rectifying mirror

  • US 8180606 Wide angle substantially non-distorting mirror

  • US 8894226 Two Mirror System

  • US 8979287 Reflective surface producing a non-reversed, undistorted, perspective view

    Papers

    16.   A Solution to the Bundle-to-Bundle Mapping Problem of Geometric Optics Using Four Freeform Reflectors
    Christopher Croke and R. Andrew Hicks
    JOSA A, Volume 31, Issue 9, pp. 2097-2104, 2014.

    15.   Bundle Separation, Obstructions to Perfect Imaging and other Qualitative Aspects of Simultaneous Multiple Surface Design
    R. Andrew Hicks, Sarah G. Rody and J. Douglas Wright
    Opt. Eng. 53(3), March 2014.

    14.   The Frobenius Integrability Theorem and the Blind-Spot Problem for Motor Vehicles
    Meredith Coletta, R. Andrew Hicks and Shari Moskow
    SIAM Journal of Imaging Science, 6(3), pp. 1367-1384, July 2013.

    13.   Computational Photography with Panoramic Sensors that Have Uniform Resolution with Respect to Unwarping Transformations
    R. Andrew Hicks and Meredith Coletta
    Journal of Mathematical Imaging and Vision, Volume 46, Issue 1, pp. 121-127, May 2013.

    12.   The customized reflections of freeform mirrors.
    R. Andrew Hicks
    Physics Today 63, pages 72-73, 2010.

    11.   Designing coupled free-form surfaces
    R. Andrew Hicks and Christopher Croke
    JOSA A, Volume 27, Issue 10, pp. 2132-2137, 2010.

    10.   Controlling a ray bundle with a free-form reflector
    R. Andrew Hicks
    Optics Letters, Volume 33, No. 15, pages 1672-1674, July 2008.

    9.   Programmable imaging with two axis micromirrors
    R. Andrew Hicks, Vasileios T. Nasis, Timothy P. Kurzweg
    Optics Letters, Volume 32, No. 9, pages 1066-1068, May 2007.

    8.   An optical navigation sensor for micro aerial vehicles
    C.Tisse, H.Durrant-Whyte and R. Andrew Hicks
    Computer Vision and Image Understanding, Vol.105, Issue 1, Pages 21-29, January 2007.

    7.   Realizing any central projection with a mirror pair
    R. Andrew Hicks, Marc Millstone and Kostas Daniilidis
    Applied Optics Volume 45, Issue 28, pages 7205-7210, October 1st, 2006.

    6.   Equiresolution Catadioptric Sensors
    R. Andrew Hicks, Ronald K. Perline
    Applied Optics, Volume 44, Issue 29, pages 6108-6114, October 2005.

    5.   Blind-spot problem for motor vehicles
    R. Andrew Hicks, Ronald K. Perline
    Applied Optics, Volume 44, Issue 19, pages 3893-3897, July 2005.

    4.   Designing a mirror to realize a given projection
    R. Andrew Hicks
    JOSA A, Volume 22, Issue 2, pages 323-330, February 2005.

    3.   Reflective Surfaces as Computational Sensors
    R. Andrew Hicks and Ruzena Bajcsy
    Image and Vision Computing, Volume 19, Issue 11, September 2001, pages 773-777.

    2.   Closed Form Solutions for Reconstruction via Complex Analysis
    R. Andrew Hicks, David Pettey, Kostas Daniilidis and Ruzena Bajcsy
    Journal of Mathematical Imaging and Vision, Volume 13, Issue 1, August 2000, pages 57-70.

    1.   Group Actions and the Topology of Non-negatively Curved 4-Manifolds
    R. Andrew Hicks
    Illinois Journal of Mathematics, Volume 41, Number 3, Fall 1997, pages 421-437.
    pdf file
    Read what the critics had to say.






    Other Publications by R. Andrew Hicks

  • Reflective Surfaces as Computational Sensors
  • R. Andrew Hicks and Ruzena Bajcsy
    Proc. of the Second Workshop on Perception for Mobile Agents, Fort Collins, Colorado, 1999, pages 82-86.
    pdf file

  • Complex Analysis for Reconstruction from Controlled Motion
    R. Andrew Hicks, David Pettey, Kostas Daniilidis and Ruzena Bajcsy
    Proc. of the 9th Int. Conf. on Computer Analysis of Images and Patterns, Ljubljana, 1999, pages 301-310.
    pdf file

  • Global Signatures for Robot Control and Reconstruction
  • R. Andrew Hicks, David Pettey, Kostas Daniilidis and Ruzena Bajcsy
    In "Robust Vision for Vision-Based Control of Motion", SPIE & IEEE Press, 2000.
    pdf file

  • Catadioptric Sensors that Approximate Wide-angle Perspective Projections
  • R. Andrew Hicks and Ruzena Bajcsy
    Proc. of CVPR 2000, Hilton Head Island, South Carolina, 2000, pages 545-551.

  • Geometric Distributions for Catadioptric Sensor Design
  • R. Andrew Hicks and Ronald K. Perline
    Proc. of CVPR 2001, Kauai, Hawaii, December 2001, pages 584-589.

  • Catadioptric Sensors for Panoramic Viewing
  • R. Andrew Hicks, Ronald K. Perline and Meredith Coletta
    Proc. of ICCIT 2001, Montclair New Jersey, October 2001, pages 465-470.
    pdf file

  • Equi-areal Catadioptric Sensors
  • R. Andrew Hicks and Ronald K. Perline
    Proc. of Omnivis02, Copenhagen, Denmark, June 2, 2002, pages 13-18.

  • Differential Methods in Catadioptric Sensor Design with Applications to Panoramic Imaging
  • R. Andrew Hicks
    arXiv preprint cs.CV/0303024 posted on arXiv , March 24, 2003.

  • An exact expression for the image error in a catadioptric sensor
  • R. Andrew Hicks
    arXiv preprint physics/0410058 posted on arXiv , October 8, 2004.

  • The method of vector fields for catadioptric sensor design with applications to panoramic imaging
  • R. Andrew Hicks and Ronald K. Perline
    Proc. of CVPR 2004, Washington D.C., June 2004, pages 584-589.


  • Micromirror array theory for imaging sensors
  • R. Andrew Hicks, Timothy Kurzweg
    Proceedings of SPIE Volume 5721
    MOEMS Display and Imaging Systems III
    Hakan Urey, David L. Dickensheets, Editors, January 2005, pages 182-189.


  • Digital Photographic Imaging using MOEMS
  • Vasileios T. Nasis, R. Andrew Hicks, and Timothy P. Kurzweg
    Proceedings of SPIE Volume 6114
    MOEMS Display, Imaging, and Miniaturized Microsystems IV
    Hakan Urey, David L. Dickensheets, Bishnu P. Gogoi, Editors, January 23, 2006.


  • Imaging with two-axis micromirrors
  • R. Andrew Hicks, Vasileios T. Nasis and Timothy P. Kurzweg
    arXiv preprint physics/0608131 posted on arXiv , August 11th, 2006.