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Статья

Gevorkyan, M.N.
Dual Quaternion Representation of Points, Lines and Planes / M.N.Gevorkyan, D.S.Kulyabov, [a.o.]. – Text : electronic // Discrete and Continuous Models and Applied Computational Science. – 2025. – Vol. 33, No. 4. – P. 411-439. – URL: https://doi.org/10.22363/2658-4670-2025-33-4-411-439. – Bibliogr.: 30.

BackgroundThe bulk of the work on dual quaternions is devoted to their application to describehelical motion. Little attention is paid to the representation of points, lines, and planes (primitives) using them.PurposeIt is necessary to consistently present the dual quaternion theory of the representation of primitivesand refine the mathematical formalism.MethodIt uses the algebra of dual numbers, quaternions and dualquaternions, as well as elements of the theory of screws and sliding vectors.ResultsFormulas have been obtainedand systematized that use exclusively dual quaternionic operations and notation to solve standard problemsof three-dimensional geometry.ConclusionsDual quaternions can serve as a full-fledged formalism for thealgebraic representation of a three-dimensional projective space



Спец.(статьи,препринты) = С 131 - Высшая алгебра. Линейная алгебра. Теория матриц
Спец.(статьи,препринты) = С 17 - Вычислительная математика. Таблицы
ОИЯИ = ОИЯИ (JINR)2025