We present two families of reflective surfaces that are capable of providing a wide field of view, and yet still approximate a perspective projection to a high degree. These surfaces are derived by considering a plane perpendicular to the axis of a surface of revolution and finding the equations governing the distortion of the image of the plane in this surface. We then view this relation as a differential equation and prescribe the distortion term to be linear. By choosing appropriate initial conditions for the differential equation and solving it numerically, we derive the surface shape and obtain a precise estimate as to what degree the resulting sensor can approximate a perspective projection. Thus these surfaces act as computational sensors, allowing for a wide-angle perspective view of a scene without processing the image in software. The applications of such a sensor should be numerous, including surveillance, robotics and traditional photography.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Catadioptric sensors that approximate wide-angle perspective projections


    Contributors:
    Hicks, R.A. (author) / Bajcsy, R. (author)


    Publication date :

    2000-01-01


    Size :

    533071 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    Catadioptric Sensors that Approximate Wide-Angle Perspective Projections

    Hicks, R. / Bajcsy, R. / IEEE | British Library Conference Proceedings | 2000


    Equi-areal catadioptric sensors

    Hicks, R.A. / Perline, R.K. | IEEE | 2002


    Catadioptric Video Sensors

    Nayar, S. K. / Gluckman, J. / Swaminathan, R. et al. | British Library Conference Proceedings | 1998


    Equi-areal Catadioptric Sensors

    Hicks, R. A. / Perline, R. K. | British Library Conference Proceedings | 2002