Abstract Significant debate exists regarding the neural
strategies underlying the positioning and orienting of the
hand during voluntary reaching movements of the hu-
man upper extremity. Some authors have suggested that
positioning and orienting are controlled independently,
while others have argued that a strong interdependence
exists. In an effort to address this uncertainty, our study
employed computer simulations to examine the impact
of physiological limitations of joint rotation on the pro-
posed independence of hand position and orientation.
Specifically, we analyzed the effects of geometric con-
straints on final arm postures using a 7 degree-of-free-
dom model of the human arm. For 20 different hand con-
figurations within the attainable workspace, we comput-
ed sets of achievable joint angles by applying inverse ki-
nematics. From each set, we then calculated the locus of
possible elbow positions for the particular final hand
posture. When the joints were allowed 360° of rotation,
the loci formed complete circles; however, when joint
ranges were limited to physiological values, the extent of
the loci decreased to an average arc angle of 54.6°
(±27.9°). Imposition of joint limits also led to practically
linear relationships between joint angles within a solu-
tion set. These theoretical results suggest a requirement
for coordinated interaction between control of the joints
associated with hand position and those involved with
hand orientation in order to ensure attainable joint trajec-
tories. Furthermore, it is conceivable that some of the
correlations observed between joint angles in the course
of natural reaching movements result from geometric
constraints.
Key words Upper limb · Posture · Geometric constraints ·
Human
Introduction
Reaching movements of the human upper extremity re-
present a significant control problem due to the number of
degrees of freedom involved. A number of researchers
have hypothesized that humans might simplify the control
process by dividing the task into parallel, independent
components, as is often done in robotics (Hollerbach
1988). Accordingly, shoulder motion, incorporating ab-
duction/adduction, flexion/extension, and internal/external
rotation, and elbow flexion/extension would position the
hand in space. Forearm pronation/supination, wrist flex-
ion/extension, and ulnar/radial deviation would govern
orientation of the hand. Movement of the limb to the prop-
er location, positioning of the hand in the proper orienta-
tion, and grasping the object would be controlled indepen-
dently (Arbib 1981; Jeannerod 1984, 1992). Additional
experimental results seemed to support this hypothesis
(Lacquaniti and Soechting 1982). In contrast, several oth-
er studies have shown strong interdependence between
grasp and transport (Chieffi and Gentilucci 1993; Gent-
ilucci et al. 1996), as well as systematic links between the
positioning and orienting of the hand (Soechting and Flan-
ders 1993; Desmurget et al. 1996, 1998).
The geometry of the limb itself may fundamentally
influence its control. For each hand position and orienta-
tion, a locus of possible elbow locations exists (Korein
1985). This locus lies along a circle centered on the line
connecting the center of the shoulder and wrist coordi-
nate axes (Fig. 1) (Engelbrecht 1997). In the absence of
limitations on joint range of motion, any point on the
circle can be attained, so the orienting and positioning of
the hand can be separated. However, if the locus does
not include the entire circle, then either one cannot prop-
erly orient the hand for a given posture of the upper arm
that places the hand in the correct position, or one cannot
attain the necessary hand position for a distal solution
that generates the desired hand orientation. Thus, as the
percentage of the circle spanned by the elbow locus di-
minishes, the need for greater interaction between con-
trol of position and orientation grows.
D.G. Kamper (
✉
) · W. Zev Rymer
Sensory Motor Performance Program, Suite 1406,
Rehabilitation Institute of Chicago, 345 E. Superior Street,
Chicago, IL 60611, USA
e-mail: d-kamper@nwu.edu
Tel.: +1-312-908-4269, Fax: +1-312-908-2208
Exp Brain Res (1999) 126:134–138 © Springer-Verlag 1999
RESEARCH NOTE
Derek G. Kamper · W. Zev Rymer
Effects of geometric joint constraints on the selection
of final arm posture during reaching: a simulation study
Received: 7 December 1998 / Accepted: 14 January 1999