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20


The

IMAGE Imgs/thesis.final.w611.gif

Figure 2.8 - Friction cone ground slip model (2D example)
L- a link of the creature
M- a monitor point on link L
C- boundaries of a friction cone for a ratio of 1.0
P- point of initial contact of M with ground plane
- new "point of initial contact" of M with ground
plane after slipping is applied


No other ground forces are applied to the creature to constrain movement in any direction.

foot may be in full or partial contact with the ground, depending on which monitor points are in

ground contact.

It is free to pitch, roll and yaw and to slip within the described constraints

provided by the friction cones. This contrasts with many approaches in animation and in robotics,

which use planar dynamics or place less realistic constraints on the motion of the foot while in

contact with the floor [HF77, FM87, KKI90, KT91, CHP92,VFV92, SC92, Hod+9].

2. 5

Biped Models

The most complex human model used, shown in Figure 2.9, has 19 degrees of freedom including

ball-and-socket hips, 2 DOF ankles and a jointed torso.

All other joints are modeled using 1

DOF.

Mass and inertia parameters are realistic for a human model and are from taken from

[WH95].

Several other simpler human models with fewer DOFs are also used throughout our

experiments in order to reduce simulation time requirements. The simplest of these has 12 DOFs,

with 2 DOF hips (pitch and roll but no yaw), no arms, and a rigid torso which incorporates the

mass and inertia parameters for fixed arms in the reference position of Figure 2.9.

[CONVERTED BY MYRMIDON]