Catadioptric sensors are visual sensors that employ lenses (dioptrics) and mirrors (catoptrics). We present a general method of catadioptric sensor design for realizing prescribed projections. Our method makes use of geometric distributions in. 3-dimensional space, which are generalizations of vector fields. The main idea is this: if one desires a reflective surface that will image the world in a certain way, then this condition determines the orientation of the tangent planes to the surface. Analytically, this means that the surface will then be determined by a pair of partial differential equations, which may or may not have a common solution. We show how to check if a common solution exists. If no common solution exists, we describe a method for obtaining optimal approximate solutions in a least-squares sense. As an example application, we construct a mirror that will give a panoramic view of a scene without any digital unwarping.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Geometric distributions for catadioptric sensor design


    Contributors:
    Hicks, R.A. (author) / Perline, R.K. (author)


    Publication date :

    2001-01-01


    Size :

    596989 byte





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    Geometric Distributions for Catadioptric Sensor Design

    Hicks, R. A. / Perline, R. K. / IEEE | British Library Conference Proceedings | 2001


    Catadioptric camera calibration using geometric invariants

    Xianghua Ying, / Zhanyi Hu, | IEEE | 2003


    Catadioptric Camera Calibration Using Geometric Invariants

    Ying, X. / Hu, Z. / IEEE | British Library Conference Proceedings | 2003


    Geometric Invariants and Applications under Catadioptric Camera Model

    Wu, Y. / Hu, Z. / IEEE | British Library Conference Proceedings | 2005