Modified motor equivalence analysis. In Panel A, data points (A, B, and C) are
projected onto the UCM for perfect performance (the hyperbolic curve) computed
in normalized units. Both axes are measured in normalized force units (see
text). The projected points (Ap, Bp, and Cp) minimize the distances from the
respective data points. Segments A-Ap, B-Bp, and C-Cp are the local normals to
the hyperbola at Ap, Bp, and Cp, respectively. For data points A and C, the
motor equivalent (ME) component is the length of the highlighted portion of the
UCM between Ap and Cp. The non-motor-equivalent (nME) component is distance A-Ap
minus distance C-Cp, since the points A and C are on the same side of the UCM.
Conversely, the nME component for the points A and B is distance A-Ap plus
distance B-Bp, since the points A and B are on the opposite sides of the UCM. In
Panel B, the ME and nME movements are signed. ME distances are computed from the
reference point, and nME distances are computed from the UCM. The bottom figure
describes the signs assigned to the ME and nME movements. ME movement is
computed from a reference point on the UCM, and nME movement is computed as the
orthogonal distance from the UCM for perfect performance