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2009•Unpublished venueRequires access

The Quaternion of Finite Rotation—A Effective Parameter to Analyse the Body Three Dimensional Rotation in Sports

Weiya Yue

Open publisher page 1 citations

Abstract

Using the eigen value、eigen vector and similarity transformation of direction cosine matrix,we have calculated the quaternion of finite rotation(α,β,γ,θ),and then used FORTRAN77 language to make a computing software,by which we have found the special effect of rotation axis r =(α,β,γ) and rotation angleθin the application of humen 3D - rotation.

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What this paper is about

Using the eigen value、eigen vector and similarity transformation of direction cosine matrix,we have calculated the quaternion of finite rotation(α,β,γ,θ),and then used FORTRAN77 language to make a computing software,by which we have found the special effect of rotation axis r =(α,β,γ) and rotation angleθin the application of humen 3D - rotation.

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Available abstract

Using the eigen value、eigen vector and similarity transformation of direction cosine matrix,we have calculated the quaternion of finite rotation(α,β,γ,θ),and then used FORTRAN77 language to make a computing software,by which we have found the special effect of rotation axis r =(α,β,γ) and rotation angleθin the application of humen 3D - rotation.

Key concepts: Quaternion, Rotation (mathematics), Euler's rotation theorem, Rotation matrix, Direction cosine, Trigonometric functions, Mathematics, Transformation (genetics)

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