Finite element surface fitting for bridge management

Xiaojun Chen, Takuma Kimura

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    Abstract

    We propose a new finite element surface fitting method which can handle very large databases. This method uses finite element discretization to find an approximation of a smooth function which minimizes a sum of data residuals and second derivatives under some constraints on data. The finite element discretization derives a large scale constrained quadratic program, which can be reformulated as a system of piecewise linear equations. We develop a preconditioned Newton method to solve the system efficiently. We apply this method to form surfaces over Aomori Region in Japan by geographic databases, such that every bridge became associated with environmental information.

    Original languageEnglish
    Pages (from-to)671-681
    Number of pages11
    JournalInternational Journal of Information Technology and Decision Making
    Volume5
    Issue number4
    DOIs
    Publication statusPublished - 2006 Dec

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    Keywords

    • Bridge management
    • Finite element method
    • Newton's method
    • Nonsmooth equation
    • Surface fitting

    ASJC Scopus subject areas

    • Computer Science (miscellaneous)

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