Linear fitting of implicit algebraic models to data usually suffers from global stability problems. Complicated object structures can accurately be modeled by closed-bounded surfaces of higher degrees using ridge regression. This paper derives an explicit formula for computing a Euclidean invariant 3D ridge regression matrix and applies it for the global stabilization of a particular linear fitting method. Experiments show that the proposed approach improves global stability of resulting surfaces significantly.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Fitting globally stabilized algebraic surfaces to range data


    Contributors:
    Sahin, T. (author) / Unel, M. (author)


    Publication date :

    2005-01-01


    Size :

    698471 byte





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    Fitting Globally Stabilized Algebraic Surfaces to Range Data

    Sahin, T. / Unel, M. / IEEE | British Library Conference Proceedings | 2005



    Lie-Algebraic Averaging for Globally Consistent Motion Estimation

    Govindu, V. / IEEE Computer Society | British Library Conference Proceedings | 2004


    Globally Consistent Range Scan Alignment for Environment Mapping

    Lu, F. / Milios, E. | British Library Online Contents | 1997


    Globally optimal segmentation of interacting surfaces with geometric constraints

    Kang Li, / Xiaodong Wu, / Chen, D.Z. et al. | IEEE | 2004