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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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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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Updated: Apr 11, 2026

Sample Drift Correction Following 4D Confocal Time-lapse Imaging
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Data driven drift correction for complex optical systems.

Aashwin Mishra1, Matthew Seaberg1, Ryan Roussel1

  • 1SLAC National Laboratory, 2575 Sand Hill Rd, Menlo Park, CA 94025, USA.

Journal of Synchrotron Radiation
|April 10, 2026
PubMed
Summary
This summary is machine-generated.

Time varying Bayesian optimization (TVBO) offers robust drift correction for precise beam trajectories in complex experiments. This data-driven approach ensures stability in X-ray beam conditioning systems over extended durations.

Keywords:
Bayesian optimizationX-ray free electron laserX-ray opticsdrift correctionmachine learningsplit and delay

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Area of Science:

  • Physics
  • Experimental Physics
  • Optical Engineering

Background:

  • Modern light sources offer increased spectral brightness, enabling intricate experiments.
  • Maintaining precise beam trajectory is crucial for these experiments.
  • Active drift control is necessary to preserve beam stability over time.

Purpose of the Study:

  • To introduce time varying Bayesian optimization (TVBO) as a data-driven method for robust drift correction.
  • To demonstrate TVBO's application in a complex split and delay optical system.
  • To showcase TVBO's adaptability for real-life experimental conditions.

Main Methods:

  • Utilized numerical simulations to test TVBO.
  • Applied TVBO to a system with six crystals and twelve input dimensions.
  • Investigated TVBO for linear, non-smooth temporal drift, and constrained multi-objective control.

Main Results:

  • TVBO demonstrated effective drift correction for various drift types.
  • Constrained TVBO successfully handled multi-objective control settings.
  • The approach proved robust under simulated real-life conditions.

Conclusions:

  • TVBO is a powerful data-driven approach for maintaining beam stability.
  • This method is adaptable to various X-ray beam conditioning and guidance systems.
  • TVBO can ensure sub-micrometer and nanoradian beam stability for hours-long experiments.