Scalar-vector algorithm for the roots of quadratic quaternion polynomials, and the characterization of quintic rational rotation-minimizing frame curves

DOI10.1016/j.jsc.2013.07.001zbMath1284.65062OpenAlexW2029789625MaRDI QIDQ2437281

P. Dospra, Rida T. Farouki, Takis Sakkalis

Publication date: 3 March 2014

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2013.07.001

zbMATH Keywords

algorithmnumerical examplePythagorean-hodograph curvesquadratic equationquaternion polynomialsquaternion rootsrational rotation-minimizing frames

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17) Numerical computation of roots of polynomial equations (65H04)

Related Items

Solution of a quadratic quaternion equation with mixed coefficients, Complex Roots of Quaternion Polynomials, Rational rotation-minimizing frames -- recent advances and open problems, Roots of quaternion polynomials: theory and computation

Cites Work

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