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Related Concept Videos

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...
Residuals and Least-Squares Property01:11

Residuals and Least-Squares Property

The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line
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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...
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
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Systematic Error: Methodological and Sampling Errors01:15

Systematic Error: Methodological and Sampling Errors

In the case of systematic errors, the sources can be identified, and the errors can be subsequently minimized by addressing these sources. According to the source, systematic errors can be divided into sampling, instrumental, methodological, and personal errors.
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Centroid for the Paraboloid of Revolution01:16

Centroid for the Paraboloid of Revolution

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Related Experiment Video

Updated: May 26, 2026

Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine
07:05

Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine

Published on: October 27, 2016

A novel systematic error compensation algorithm based on least squares support vector regression for star sensor

Jun Yang1, Bin Liang, Tao Zhang

  • 1Department of Automation, Tsinghua University, Beijing 100084, China. jun-yang07@mails.tsinghua.edu.cn

Sensors (Basel, Switzerland)
|December 14, 2011
PubMed
Summary
This summary is machine-generated.

This study analyzes systematic errors in star centroid estimation for star sensors. A novel compensation algorithm significantly improves estimation accuracy, enhancing attitude determination precision.

Keywords:
LSSVRcentroid estimationstar sensorsubpixelsystematic error compensation

Related Experiment Videos

Last Updated: May 26, 2026

Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine
07:05

Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine

Published on: October 27, 2016

Area of Science:

  • Spacecraft attitude determination
  • Optical sensor calibration
  • Astrodynamics

Background:

  • Star centroid estimation is critical for precise attitude determination in star sensors.
  • Existing algorithms are susceptible to systematic errors affecting accuracy.
  • Understanding and mitigating these errors is essential for reliable navigation.

Purpose of the Study:

  • To theoretically analyze systematic errors in star centroid estimation algorithms.
  • To develop a novel compensation algorithm for error reduction.
  • To improve the precision of star centroid estimation.

Main Methods:

  • Frequency domain analysis and numerical simulations to study systematic error.
  • Analysis of approximation and truncation errors due to discretization and sampling limitations.
  • Development of a least squares support vector regression (LSSVR) with Radial Basis Function (RBF) kernel for compensation.

Main Results:

  • Systematic error identified as approximation and truncation errors.
  • A criterion for selecting sampling window size to minimize truncation error is provided.
  • The LSSVR-based compensation algorithm improved accuracy from 0.06 to 6 × 10(-5) pixels for a 5-pixel window.

Conclusions:

  • Systematic errors in star centroid estimation are quantifiable and reducible.
  • The proposed LSSVR compensation algorithm effectively eliminates systematic errors.
  • This advancement significantly enhances the precision of star sensors for attitude determination.