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Related Concept Videos

Glassware Calibration01:11

Glassware Calibration

Accurate calibration of glassware, such as volumetric flasks, pipettes, and burettes, is essential to ensure accurate measurements in the analytical laboratory. Calibration helps maintain consistency across measurements and prevents errors arising from inaccurate volumes.
Volumetric flasks: Volumetric flasks are designed to prepare aqueous solutions of precise volumes accurately with a calibration line on the neck. To calibrate a volumetric flask, it is important to fill it with distilled...
Calibration Curves: Linear Least Squares01:20

Calibration Curves: Linear Least Squares

A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
For data that follow a straight line, the standard method for fitting is the linear...
One-Degree-of-Freedom System01:24

One-Degree-of-Freedom System

In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
Torque Free Motion01:15

Torque Free Motion

The torque-free motion refers to the movement of a rigid body in space when no external torques are acting upon it. This type of motion can be observed in environments where there are no external forces or frictions, like in outer space. For example, a rotation of Mars in space is a torque-free motion. Mars is an axisymmetric object, meaning it has an axis of symmetry along which it rotates, designated as the z-axis. The rotating frame of reference is defined such that the center of mass of...
Calibration Curves: Correlation Coefficient01:10

Calibration Curves: Correlation Coefficient

In a linear calibration curve, there is a value called the calibration coefficient, denoted by 'r,' which measures the strength and the direction of association between two variables. The correlation coefficient value ranges from −1 to +1. A value of +1 indicates a perfect positive linear correlation, −1 denotes a perfect negative correlation, and 0 implies no correlation between the two variables. A positive correlation value establishes that as one variable increases, the other increases, and...
Distance Corrections01:15

Distance Corrections

To achieve precise distance measurements, especially in surveying and construction, certain corrections must be applied to account for potential sources of error like the standardization errors, temperature variations, and slope adjustments.Standardization error emerges when measurement equipment undergoes changes, such as wear, repairs, or weather impacts. To address this, surveyors compare the equipment’s readings to a standard. This process identifies any deviation that might lead to...

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Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads
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Non-orthogonal tool/flange and robot/world calibration.

Floris Ernst1, Lars Richter, Lars Matthäus

  • 1Institute for Robotics and Cognitive Systems, University of Lübeck, Ratzeburger Allee 160, 23538, Lübeck, Germany. ernst@rob.uni-luebeck.de

The International Journal of Medical Robotics + Computer Assisted Surgery : MRCAS
|April 18, 2012
PubMed
Summary

A new calibration method improves robot-assisted surgery accuracy by up to 80% for tool and robot positioning. This faster, more stable approach works even with limited tracking data, enhancing medical robotics.

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Area of Science:

  • Robotics
  • Medical Imaging
  • Computer Vision

Background:

  • Accurate robot and tracking device calibration is crucial for robot-assisted medical applications.
  • Current methods like Tsai/Lenz and Daniilidis have limitations in handling real-world errors.

Purpose of the Study:

  • To develop a novel method for simultaneous tool/flange and robot/world calibration.
  • To address limitations of existing methods, especially with imperfect calibration data and limited degrees of freedom (DOFs).

Main Methods:

  • Estimating a solution to the matrix equation AX=YB using a least-squares approach.
  • Developing a method for full robot/world and partial tool/flange calibration with <6 DOF localization devices.
  • Evaluating methods on simulation and real-world data from various tracking devices (optical, magnetic, ultrasound, laser scanning).

Main Results:

  • New algorithms outperform classical methods by up to 80% in translational accuracy.
  • Rotational accuracy is comparable to classical methods.
  • The new methods demonstrate superior stability, with less sensitivity to the number of calibration stations.

Conclusions:

  • The novel method accurately estimates coordinate system relationships between robots and localization devices.
  • It is effective for systems with limited data (e.g., 3-DOF ultrasound).
  • The method's speed makes it suitable for real-time applications.