Many formulations of visual reconstruction problems (e.g. optic flow, shape from shading, biomedical motion estimation from CT data) involve the recovery of a vector field. Often the solution is characterized via a generalized spline or regularization formulation using a smoothness constraint. This paper introduces a decomposition of the smoothness constraint into two parts: one related to the divergence of the vector field and one related to the curl or vorticity. This allows one to "tune" the smoothness to the properties of the data. One can, for example, use a high weighting on the smoothness imposed upon the curl in order to preserve the divergent parts of the field. For a particular spline within the family introduced by this decomposition process, we derive an exact solution and demonstrate the approach on examples.<>


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Motion estimation and vector splines


    Contributors:
    Suter (author)


    Publication date :

    1994-01-01


    Size :

    375162 byte





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    Motion Estimation and Vector Splines

    Suter, D. / Institute of Electrical and Electronics Engineers; Computer Society | British Library Conference Proceedings | 1994


    Motion Estimation with Quadtree Splines

    Szeliski, R. / Shum, H.-Y. / IEEE Computer Society et al. | British Library Conference Proceedings | 1995


    Motion estimation with quadtree splines

    Szeliski, R. / Heung-Yeung Shum | IEEE | 1995


    Splines and Axial Motion Devices

    Wagner,E.R. / General Motors,Saginaw,US | Automotive engineering | 1979


    Modeling Motion Prediction Techniques: Linear and Quadratic Splines vs Circular-Queue Vector Approach

    Tello-Martínez, J T / Starostenko, O / Alarcon-Aquino, V et al. | IEEE | 2010