Construction of Monotone Extensions to Boundary Functions

Cornelis Traas

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    Abstract

    Suppose we are given monotonically increasing, smooth, univariate functions along the edges of the unit square. The problem is to construct an extension F(x, y) to the whole square which is monotone and of class C 1. A nonlinear method is presented which defines F in terms of a set of level lines, each of which is represented as a cubic Bézier curve. As the level changes, the corresponding control points shift along trajectories which contain appropriate kinks.
    Original languageEnglish
    Title of host publicationNumerical Methods in Approximation Theory
    EditorsDietrich Braess, Larry L. Schumaker
    Place of PublicationBasel
    PublisherSpringer
    Pages347-357
    Number of pages11
    Volume9
    ISBN (Electronic)978-3-0348-8619-2
    ISBN (Print)978-3-0348-9702-0
    DOIs
    Publication statusPublished - 1992
    EventConference on Numerical Methods in Approximation Theory 1991 - Oberwolfach, Germany
    Duration: 24 Nov 199130 Nov 1991

    Publication series

    NameInternational Series of Numerical Mathematics
    PublisherSpringer
    Volume105
    ISSN (Print)0021-9045

    Conference

    ConferenceConference on Numerical Methods in Approximation Theory 1991
    CountryGermany
    CityOberwolfach
    Period24/11/9130/11/91

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