This paper presents a new framework for solving geometric structure and motion problems based on L/sub /spl infin//-norm. Instead of using the common sum-of-squares cost-function, that is, the L/sub /spl infin//-norm, the model-fitting errors are measured using the L/sub /spl infin//-norm. Unlike traditional methods based on L/sub 2/ our framework allows for efficient computation of global estimates. We show that a variety of structure and motion problems, for example, triangulation, camera resectioning and homography estimation can be recast as a quasiconvex optimization problem within this framework. These problems can be efficiently solved using second order cone programming (SOCP) which is a standard technique in convex optimization. The proposed solutions have been validated on real data in different settings with small and large dimensions and with excellent performance.


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    Title :

    Multiple view geometry and the L/sub /spl infin//-norm


    Contributors:
    Kahl, F. (author)


    Publication date :

    2005-01-01


    Size :

    453192 byte





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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