Читать книгу Kinematics of General Spatial Mechanical Systems - M. Kemal Ozgoren - Страница 49
3.2 Transformation Matrices Between Reference Frames 3.2.1 Definition and Usage of a Transformation Matrix
ОглавлениеConsider two reference frames and . If they are differently oriented with respect to each other, a vector appears differently in and . In other words, . However, since and represent the same vector , they are nonetheless related so that
In Eq. (3.11), is defined as the transformation matrix between and . It can be considered as an operator that transforms the components of a vector from to . So, to be more specific, it may also be called a component transformation matrix.
