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Beams with Unsymmetric Loadings

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Related Experiment Video

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Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads

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Published on: July 25, 2025

An analytical geometric calibration method for circular cone-beam geometry.

Jingyan Xu¹, Benjamin M W Tsui

¹Division of Medical Imaging Physics, Department of Radiology, Johns Hopkins University, Baltimore, MD 21287, USA. jxu@jhmi.edu

IEEE Transactions on Medical Imaging

|June 18, 2013

Summary

This study presents an analytical method for geometric calibration in cone-beam CT and SPECT imaging. The technique accurately determines critical parameters using projections of point objects, even with limited data.

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Area of Science:

Medical Imaging
Geometric Calibration
Computed Tomography

Background:

Seven parameters define circular cone-beam geometry in X-ray CT and SPECT.
Previous work established a method for detector in-plane rotation angle determination.

Purpose of the Study:

To analytically determine the remaining six geometric parameters for cone-beam CT and SPECT.
To assess the method's accuracy and robustness under various conditions.

Main Methods:

Utilizing cone-beam projections of at least three point objects.
Employing an analytical approach based on fitted ellipse parameters from calibration data.
Performing numerical evaluations for noise and data acquisition range impact.

Main Results:

Accurate parameter estimation in noise-free conditions or with moderate data truncation/shorter scan range.
Comparable or superior accuracy and precision to existing methods with a full 360° scan.
Identification of bias in simple fitting methods with shorter acquisition ranges, which can be mitigated.

Conclusions:

The proposed analytical method provides accurate geometric calibration for cone-beam systems.
Robustness is demonstrated across different noise levels and acquisition ranges.
Sophisticated fitting algorithms are recommended for shorter scan ranges to minimize bias.