@@ -143,25 +143,23 @@ message Dimension3d
143143// Units are rad for orientation, rad/s for rates, and rad/s^2 for
144144// accelerations
145145//
146- // The preferred angular range is [-pi, pi]. The coordinate system is defined as
147- // right-handed.
146+ // The coordinate system is defined as right-handed.
148147// For the sense of each rotation, the right-hand rule applies.
149148//
150149// The rotations are to be performed \b yaw \b first (around the z-axis),
151150// \b pitch \b second (around the new y-axis) and \b roll \b third (around the
152151// new x-axis) to follow the definition according to [1] (Tait-Bryan / Euler
153- // convention z-y'-x'').
152+ // convention z-y'-x''). The preferred angular range is [-pi, pi] for roll
153+ // and yaw and [-pi/2, pi/2] for pitch.
154154//
155155// Roll/Pitch are 0 if the objects xy-plane is parallel to its parent's
156156// xy-plane. Yaw is 0 if the object's local x-axis is parallel to its parent's
157157// x-axis.
158158//
159159// \f$ Rotation_{yaw,pitch,roll} =
160- // Rotation_{roll }*Rotation_{pitch}*Rotation_{yaw } \f$
160+ // Rotation_{yaw }*Rotation_{pitch}*Rotation_{roll } \f$
161161//
162- // \f$ vector_{\text{global coord system}} :=
163- // Rotation_{yaw,pitch,roll}^{-1}( \f$ \c Orientation3d \f$
164- // )*vector_{\text{local coord system}} + local_{origin}\text{::position} \f$
162+ // \f$ vector_{gobal coord system} := Rotation_{yaw, pitch, roll} * vector_{local coord system} +local_{origin::position} \f$
165163//
166164// \attention This definition changed in OSI version 3.0.0. Previous OSI
167165// versions (V2.xx) had an other definition.
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