On the role of kinesthetic thinking in computational geometry

J. Antoni SellarÈs, Godfried Toussaint

    Research output: Contribution to journalArticle

    Abstract

    Computational geometry is a new (about 30 years) and rapidly growing branch of knowledge in computer science that deals with the analysis and design of algorithms for solving geometric problems. These problems typically arise in computer graphics, image processing, computer vision, robotics, manufacturing, knot theory, polymer physics and molecular biology. Since its inception many of the algorithms proposed for solving geometric problems, published in the literature, have been found to be incorrect. These incorrect algorithms rather than being ‘purely mathematical’ often contain a strong kinesthetic component. This paper explores the relationship between computational geometric thinking and kinesthetic thinking, the effect of the latter on the correctness and efficiency of the resulting algorithms, and their implications for education.

    Original languageEnglish (US)
    Pages (from-to)219-237
    Number of pages19
    JournalInternational Journal of Mathematical Education in Science and Technology
    Volume34
    Issue number2
    DOIs
    StatePublished - Jan 1 2003

    Fingerprint

    Computational geometry
    Computational Geometry
    mathematics
    Design and Analysis of Algorithms
    Knot Theory
    Molecular Biology
    Computer graphics
    Computer Vision
    computer graphics
    Molecular biology
    Robotics
    Image Processing
    Correctness
    Computer Science
    Branch
    Polymers
    Manufacturing
    Physics
    computer science
    Computer science

    ASJC Scopus subject areas

    • Mathematics (miscellaneous)
    • Education
    • Applied Mathematics

    Cite this

    On the role of kinesthetic thinking in computational geometry. / SellarÈs, J. Antoni; Toussaint, Godfried.

    In: International Journal of Mathematical Education in Science and Technology, Vol. 34, No. 2, 01.01.2003, p. 219-237.

    Research output: Contribution to journalArticle

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