Modelling elasticity in solids using active cubes - application to simulated operations

Morten Bro-Nielsen, Nicolas Ayache (Editor)

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    Abstract

    The paper describes an approach to elastic modelling of human tissue based on the use of 3D solid active models-active cubes (M. Bro-Nielsen, 1994)-and a shape description based on the metric tensor in a solid. Active cubes are used because they provide a natural parameterization of the surface and the interior of the given object when deformed to match the object's shape. Using the metric tensor to store the shape of the deformed active cube, the elastic behaviour of the object in response to applied forces or subject to constraints is modelled by minimizing an energy based on the metric tensor. The application of this approach to modelling the elastic deformation of human tissue in response to movement of bones is demonstrated
    Original languageEnglish
    Title of host publicationComputer Vision, Virtual Reality, and Robotics in Medicine (CVRMed'95), Nice, France : Proceedings
    PublisherSpringer Verlag
    Publication date1995
    Pages535-541
    ISBN (Print)978-3-540-59120-7
    ISBN (Electronic)978-3-540-49197-2
    Publication statusPublished - 1995
    EventComputer Vision, Virtual Reality and Robotics in Medicine - Nice, France
    Duration: 3 Apr 19956 Apr 1995
    Conference number: 1

    Conference

    ConferenceComputer Vision, Virtual Reality and Robotics in Medicine
    Number1
    CountryFrance
    CityNice
    Period03/04/199506/04/1995
    SeriesLecture Notes in Computer Science
    Volume905
    ISSN0302-9743

    Keywords

    • solid modelling
    • medical computing
    • digital simulation
    • tensors
    • minimisation

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