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Questions tagged [inverse-kinematics]

Inverse kinematics is a subtopic of kinematics dealing with equations that describe the joint parameters necessary to move a robotic arm to a particular position. Also called motion planning.

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19
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4answers
10k views

How can the inverse kinematics problem be solved?

The forward kinematics of a robot arm can be solved easily. We can represent each joint using Denavit–Hartenberg transformation matrices. For example, if the $i^{th}$ joint is a linear actuator, it ...
3
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2answers
433 views

Evaluating the similarity of two 7 Degree of Freedom Arms

I am working on the Baxter robot where I have a first arm configuration and a bunch of other arm configurations, where I want to find the closest arm configuration to the first among the many other ...
17
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2answers
20k views

Computing the Jacobian matrix for Inverse Kinematics

When computing the Jacobian matrix for solving an Inverse Kinematic analytically,I read from many places that I could use this formula to create each of the columns of a joint in the Jacobian matrix: ...
6
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2answers
2k views

Solving Inverse Kinematics with Gradient Descent

I am trying to implement my own inverse kinematics solver for a robot arm. My solution is a standard iterative one, where at each step, I compute the Jacobian and the pseudo-inverse Jacobian, then ...
2
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3answers
5k views

Jacobian method for inverse kinematics

I have big problem. I have to solve inverse kinematics for a manipulator with 6-DOF using jacobian method. From what I know to do that I need to have matrix of transformation and Denavit–Hartenberg ...
0
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3answers
2k views

Is there any C++ library I could use to program a robotic manipulator involving forward and inverse kinematics?

I came across robotics library (RL), but quite unclear about its real purpose. Is it a FK/IK solver library or simply an graphical simulator?. RL has poor documentation, so its not clear how to use it....
9
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3answers
2k views

With a 6-axis robot, given end-effector position and range of orientations, how to find optimal joint values

Given a six-axis articulated robot arm holding a tool at its end-effector, if I have a desired tool position and tool orientation, there will be exactly 1 solution to the inverse kinematics equation ...
3
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2answers
764 views

Robot arm reachability of a pose in Cartesian space

Given a set of robot joint angles (i.e. 7DoF) $\textbf{q} = [q_1, ... , q_n]$ one can calculate the resulting end-effector pose (denoted as $\textbf{x}_\text{EEF}$), using the foward kinematic map. ...
2
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1answer
76 views

constraining rotation in jacobian IK algorithm

i'm implementing a damped least squares IK algorithm for an articulated arm, based on the work here. I have the algorithm working well, but it occasionally produces solutions that have segments ...
1
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2answers
2k views

How to find the body jacobain, for each link in a robot manipulator?

The links twist could be obtained, and thus The spatial manipulator Jacobian could be done, but when it comes to the body Jacobian, it is becomes difficult. Moreover, the adjoint transformation ...
6
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1answer
433 views

Is the geometric inverse problem's solution “continuous” for a redundant robot?

Let's say my redundant robot is at an operationnal position $x$. Is the set of all possible joint configuration "continuous", which would mean that it is possible to explore all the possible ...
3
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1answer
983 views

Solving Inverse Kinematics with Non-Linear Least Squares

I want to write my own inverse kinematics solver, and I have been recommended to use Google's Ceres Solver to help. Now, according to the documentation, Ceres Solver is usually used for non-linear ...
3
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1answer
513 views

inverse kinematics for 6 jointed robots

I am a uncertain about how to compute the right homogeneous transformation matrix to compute an inverse kinematic Q-configuration. Looking at robot like this Where at the end of this robot I have ...
2
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3answers
671 views

Finding inverse kinematics algorithm for a specific manipulator

I need to find a way to solve invrese kinematics for Comau SMART-3 robot. Could you give me a few hints where to start looking? I have no idea about robotics and I couldn't find an algorithm for this ...
1
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1answer
99 views

How to prioritize target position over target angle in Inverse Kinematics?

I have succesfully gotten my inverse kinematics method working using damped least squares and it has some really good results. My target position also includes a target angle for the end effector, ...
1
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1answer
295 views

Optimization of link lengths for 3R serial manipulator

I am trying to formulate an optimization problem for determining link lengths of 3R manipulator shown in picture below, Following are the constraints, Robot arm should be reachable at point x = 100, ...
1
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1answer
80 views

3-RRP manipulator robot

I'm having some issues with a planar manipulator I have to deal with. The first two moves are rotational and the third one is a prismatic one. The shoulder and elbow move around the X-axis, while the ...