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ikgeo 1.0.3
IK-Geo
This implementation of the core IK-Geo algorithms was adapted from IK-Geo. For details on the algorithms used, refer to the original source or to the paper "IK-Geo: Unified Robot Inverse Kinematics Using Subproblem Decomposition".
To install
This can be installed from pypi with:
pip install ik_geo
To install the package from this repository locally, use:
pip install .
To Use
Refer to examples/sample.py for a full code example.
To compute the IK solutions for a specific robot, you can either select one of the hardcoded robots available or provide your own kinematics. If you provide your own kinematics, you must do so as a Product of Exponentials (POE). This is either with 6 or 7 h vectors (rotation axes) and 7 or 8 p vectors (displacements), respectively. Note that 7-joint bots are not yet supported, so the user must choose one joint to fix to give 6 h vectors and 7 p vectors
Once you have your kinematics, you need to choose the correct decomposition strategy from: { "spherical_two_parallel", "spherical_two_intersecting", "spherical", "three_parallel_two_intersecting", "three_parallel", "two_parallel", "two_intersecting", "gen_six_dof" } to use. If you choose the wrong one, you will get wrong answers.
Once you have configured your IK solver, you can get a list of IK solutions by calling the desired ik function:
from ik_geo import Robot
h # 6x3 array
p # 7x3 array
robot = Robot.spherical_two_intersecting(h,p)
R = [[0, 0, 1], [0, 1, 0], [-1, 0, 0]]
t = [-1, 3, 0]
# For all possible solutions, as well as whether or not they are least squares
solutions = robot.get_ik(R, t)
# For all possible IK solutions sorted by error
solutions = robot.get_ik_sorted(R, t)
Performance
While this implementation can be used on a wide range of manipulators, it performs much better on when the solution can be found entirely analytically. The following table shows which method is used for each type of kinematics:
Solution Type
Robot Kinematic Family
Example
Closed-form
Spherical joint
Franka Production 3, fixed q5
and two intersecting axes
KUKA LBR iiwa 7 R800 , fixed q3
and two parallel axes
ABB IRB 6640
Three parallel axes
N/A
and two intersecting axes
Universal Robots UR5
and two parallel axes
N/A
1D search
Two intersecting axes
Kassow Robots KR810, fixed q7
and two intersecting axes
FANUC CRX-10iA/L
and two parallel axes
Kawasaki KJ125
Two parallel axes
N/A
and two parallel axes
N/A
Two intersecting axes k,k+2
ABB YuMi, fixed q3
and two intersecting axes
RRC K-1207i, fixed q6
and two parallel axes
N/A
2D search
General 6R
Kassow Robots KR810, fixed q6
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