Determining knots by minimizing energy

Cai Ming Zhang, Hui Jian Han, Fuhua Frank Cheng

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


A new method for determining knots to construct polynomial curves is presented. At each data point, a quadric curve which passes three consecutive points is constructed. The knots for constructing the quadric curve are determined by minimizing the internal strain energy, which can be regarded as a function of the angle. The function of the angle is expanded as a Taylor series with two terms, then the two knot intervals between the three consecutive points are defined by linear expression. Between the two consecutive points, there are two knot intervals, and the combination of the two knot intervals is used to define the final knot interval. A comparison of the new method with several existing methods is included.

Original languageEnglish
Pages (from-to)261-264
Number of pages4
JournalJournal of Computer Science and Technology
Issue number2
StatePublished - Mar 2006


  • Interpolation curve
  • Knots
  • Shape preserving
  • Strain energy

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Hardware and Architecture
  • Computer Science Applications
  • Computational Theory and Mathematics


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