Following Sugihara, we represent the geometric constraints imposed by the line-drawing of a polyhedron as a set of linear equalities and inequalities. Unlike him, we explicitly take into account the uncertainty in vertex position. This allows us to circumvent the superstrictness of the constraints without deleting any of them. For a given error bound, deciding whether a line-drawing is the correct projection of a polyhedron is reduced to linear programming, and 3D shape recovery is reduced to optimization under linear constraints. Our method can be used for recovering the shape of polyhedral objects whose reflectance can be modelled accurately. We have implemented if for the Lambertian model and the Lambertian model with interreflections. We present results obtained using real images.<>


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    Title :

    Recovering the shape of polyhedra using line-drawing analysis and complex reflectance models


    Contributors:
    Shimshoni (author) / Ponce (author)


    Publication date :

    1994-01-01


    Size :

    539955 byte





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    Recovering the Shape of Polyhedra Using Line-Drawing Analysis and Complex Reflectance Models

    Shimshoni, I. / Ponce, J. / Institute of Electrical and Electronics Engineers; Computer Society | British Library Conference Proceedings | 1994


    Recovering the Shape of Polyhedra Using Line-Drawing Analysis and Complex Reflectance Models

    Shimshoni, I. / Ponce, J. | British Library Online Contents | 1997


    Geometric Methods for Shape Recovery from Line Drawings of Polyhedra

    Ros, L. s. / Thomas, F. | British Library Online Contents | 2005



    Recovering Shape and Reflectance Model of Non-Lambertian Objects from Multiple Views

    Yu, T. / Xu, N. / Ahuja, N. et al. | British Library Conference Proceedings | 2004