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Table 3 Axis and angle notations

From: Real-time inverse kinematics for the upper limb: a model-based algorithm using segment orientations

Anatomical joint

Degree of freedom

Identifier

Rotation axis

Rotation angle

Shoulder

Elevation plane

elv

\(\mathbf {r}_\mathtt{{elv}}\)

\(\theta _\mathtt{{elv}}\)

Thoracohumeral (elevation) angle

sh_elv

\(\mathbf {r}_\mathtt{{sh\_elv}}\)

\(\theta _\mathtt{{sh\_elv}}\)

Axial rotation

sh_rot

\(\mathbf {r}_\mathtt{{sh\_rot}}\)

\(\theta _\mathtt{{sh\_rot}}\)

Elbow

Elbow flexion

el_flex

\(\mathbf {r}_\mathtt{{el\_flex}}\)

\(\theta _\mathtt{{el\_flex}}\)

Forearm rotation

pro_sup

\(\mathbf {r}_\mathtt{{pro\_sup}}\)

\(\theta _\mathtt{{pro\_sup}}\)

Wrist

Deviation

dev

\(\mathbf {r}_\mathtt{{dev}}\)

\(\theta _\mathtt{{dev}}\)

Flexion

flex

\(\mathbf {r}_\mathtt{{flex}}\)

\(\theta _\mathtt{{flex}}\)

Proximal-distal r1

pdr1

\(\mathbf {r}_\mathtt{{pdr1}}\)

\(\theta _\mathtt{{pdr1}}\)

Proximal-distal r3

pdr3

\(\mathbf {r}_\mathtt{{pdr3}}\)

\(\theta _\mathtt{{pdr3}}\)

  1. The table lists identifiers derived from the model file and notations of rotation axes and angles for all relevant degrees of freedom used for algorithm formulation