This paper presents a framework for implicit deformable models and a pair of new algorithms for solving the nonlinear partial differential equations that result from this framework. Implicit models offer a useful alternative to parametric models, particularly when dealing with the deformation of higher-dimensional objects. The basic expressions for the evolution of implicit models are relatively straightforward; they follow as a direct consequence of the chain rule for differentiation. More challenging, however, is the development of algorithms that are stable and efficient. The first algorithm is a viscosity approximation which gives solutions over a dense set in the range, providing a means of calculating the solutions of embedded families of contours simultaneously. The second algorithm incorporates sparse solutions for a discrete set of contours. This sparse-field method requires a fraction of the computation compared to the first but offers solutions only for a finite number of contours. Results from 3d medical data as well as video images are shown.<>


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    Titel :

    Algorithms for implicit deformable models


    Beteiligte:
    Whitaker, R.T. (Autor:in)


    Erscheinungsdatum :

    01.01.1995


    Format / Umfang :

    680192 byte




    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



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