A Grobner Bases Approach to the Detection of Improperly Parameterized Rational Curve - American Journal of Computational Mathematics

AJCM > Vol.3 No.1, March 2013

A Grobner Bases Approach to the Detection of Improperly Parameterized Rational Curve ()

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DOI: 10.4236/ajcm.2013.31007 2,803 Downloads 5,159 Views

Author(s)

Amadu Fullah Kamara, Mohamed Abdulai Koroma

Affiliation(s)

Department of Mathematics, Faculty of Pure and Applied Sciences, Fourah Bay College, University of Sierra Leone, Freetown, Sierra Leone; Department of Mathematics, Harbin Institute of Technology, Harbin, China.
Department of Mathematics, University of Science and Technology of China, Hefei, China;Department of Mathematics, Faculty of Pure and Applied Sciences, Fourah Bay College, University of Sierra Leone, Freetown, Sierra Leone.

ABSTRACT

This paper proposes an algorithm for the detection of improper parameterization of rational curves using the concept of Grobner bases. The advantage of the proposed algorithm lies in the fact that the Grobner bases can operate in both univariate and multivariate fields with specified ordering.

KEYWORDS

Grobner Bases; Resultant; Field; Parameterization

Share and Cite:

A. Kamara and M. Koroma, "A Grobner Bases Approach to the Detection of Improperly Parameterized Rational Curve," American Journal of Computational Mathematics, Vol. 3 No. 1, 2013, pp. 48-52. doi: 10.4236/ajcm.2013.31007.

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