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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