Questions tagged [optimization]

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How to do path planning using only a fixed number of points?

I have a vehicle with cameras to detect different colored cones. I want to generate a drivable path based on the location of the detected cones.The number of detected cones varies, as it depends on ...
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How to solve this basic dynamics/inverse kinematics problem

Suppose I have a 6-DOF robot arm with revolute joints whose tooltip is at some position $\bf{r_0}$ and I want to move it through some trajectory ${\bf r}(t)$. For simplicity, assume there are just 2 ...
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Solving inverse kinematics with non-linear optimization libraries

Is it a good idea to solve inverse kinematics with non-linear optimization libraries such as Ceres? I've seen examples of Ceres being used to solve IK and it provides elegant, concise solution. But my ...
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How to find fundamental matrix based on other fundamental matrix and camera movement?

I am trying to speed up some multi-camera system that relies on calculation of fundamental matrices between each camera pair. Please notice the following is pseudocode. ...
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3 answers
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Difference between motion-only bundle adjustment and pose-graph optimization

I've been trying to figure out the difference between motion-only bundle adjustment and pose-graph optimization, when talking about systems that only use cameras to estimate motion between frames, but ...
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The Optimal Reduction Ratio

Hello everybody. For my robot design, I would like to utilize the most optimal gear ratio that I can use. For that I want to utilize the torque of my motor which is a linear function of rpm. This task ...
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3D Rigid Body Pose Optimization in flat euclidean space

I am confused about what is the best way to optimize the 3D pose of an object and the best way to parametrize the translation and rotation for optimization in flat euclidean space. Assume I have a ...
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Initial Solution Dynamic Optimization

Community, For mobile robot-trajectory planning i use dynamic optimization for a system with nonholonomic constraints and dynamics together with a cost function. This works somewhat well, howewer the ...
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Nonlinear Sensor Fusion with Space-Time Finite Element and Static Condensation?

I have recently implemented an algorithm for the nonlinear fusion of GNSS, barometer, magnetometer, accelerometer and gyroscope data. The algorithm is based on a space-time finite element where the ...
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Equations of motion in matrix form and energy consumption

I am working on Lagrangian derived high-dimensional motion equations for a robot in matrix form. The structure of such an equation is known: $M(q)\ddot{q}+C(q,\dot{q})\dot{q}+G(q)=0$ In here, $M(q)$, $...
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Identifying active PID-Controller parameters

A metric of a physical system is being controlled by a PID controller (in this case a valve controls the temperature of a liquid by mixing hot liquid into a stream of cold liquid). All measurement ...
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How to perform a cart-pole swing up task using MPC?

I originally thought this was a really simple problem. However, to my surprise I did not find any resource talking about it, the only thing I found was that using Matlab's nonlinear MPC toolbox you ...
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Quadrotor Smooth Trajectory optimization

I'm currently following a course on coursera on quadrotors, and i'm currently focusing on the trajectory planning mechanism. In the course, it's said that one of the criterias when planning a ...
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How to estimate gradient of Jerk

A trajectory is described by a position vector, i.e., traj = $[q_0, q_1,...,q_n]$. The objective is to minimize the jerk of the trajectory. I am referring to this code to understand how the gradient ...
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Design optimization method using indices

There are several methods like manipulability and conditioning index for design optimization kinematics performance, but these methods rely on the singular values of the jacobian matrix. I described ...
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What is the concepts of submaps in LIDAR based graph slam algorithms?

I have been reading some slam papers recently and many of the papers mention building and performing scan matching on submaps instead of individual poses. Does it mean that a submap is just a single ...
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2 answers
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How to handle landmarks in Bundle Adjustment?

At the moment I try to understand Bundle Adjustment on a level to be able to implement it on my own. The major point I'm still confused at is the management of the landmarks. So, let's think of a few ...
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Multiple robots performing a set of tasks (Optimization)

Consider a situation where you have a 'm' number of robots and 'n' number of tasks. Each task is at a different location. What optimization algorithm should I use in order to assign a set of tasks to ...
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