3D Imaging Calibration Device Bead Pattern Projection Matrix
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Solution Overview
Problem
Three-dimensional imaging equipment faces challenges in accurately calibrating due to structural deflections and modifications, leading to blurred reconstructed images, as existing methods struggle to precisely describe positional relationships between the X-ray source, detector, and subject using gantry rotation angles and parameters.
Innovation Solution
A calibration device and method utilizing bead groups with different cross ratios and segment ratios, arranged in specific patterns on a polyhedron-shaped body, allowing for precise mapping and generation of a projection matrix to accurately calibrate the imaging equipment.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Stability of the object's composition
If the gantry is made large and heavy to achieve stable imaging, then the structural stability is improved, but the manufacturing precision deteriorates due to structural deflection and modification
Solution Approach 1:
The patent replaces mechanical parameter-based calibration with a mathematical projection matrix approach. Instead of relying on precise mechanical positioning of the gantry, the system uses a calibration device with beads and computational algorithms to determine the projection matrix, thereby substituting mechanical precision requirements with computational processing.
Solution Approach 2:
The calibration device with bead groups serves as an intermediary object between the X-ray source and detector. This intermediary provides known geometric references that enable accurate calibration without requiring precise mechanical positioning of the gantry components.
2Ease of operation
If traditional calibration methods using gantry rotation angles are used, then the calibration process is simple, but the measurement precision deteriorates due to blurred reconstructed images
Solution Approach 1:
The patent replaces mechanical angle-based calibration with a computational projection matrix approach. The system uses a calibration device with known bead positions and solves for the projection matrix through mathematical optimization, eliminating the need for precise gantry angle measurements while improving reconstruction accuracy.
Solution Approach 2:
The patent changes the calibration parameters from gantry rotation angles to a projection matrix that directly relates object coordinates to detector coordinates. This parameter transformation allows the system to bypass mechanical angle measurement limitations and achieve higher precision through computational methods.
3Measurement precision
If multiple calibration parameters are used to describe positional relationships, then the measurement precision is improved, but the device complexity increases
Solution Approach 1:
The patent extracts the essential calibration information from complex mechanical parameter relationships and condenses it into a projection matrix. By taking out only the necessary positional relationship data and representing it through a unified matrix formulation, the system reduces complexity while maintaining precision.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The solution enables accurate recognition of beads on the detector, improving mapping accuracy and reducing calibration time by simplifying the calculation process, resulting in a precise projection matrix and high-quality three-dimensional images.
Implementation Method 1
When a gantry of the imaging equipment revolves in an accurate circular orbit, positional relationships among a source, a detector, and a subject may be briefly defined with several parameters
Data Source
AI summary
Provided is a calibration device for three-dimensional imaging equipment including a first bead group including first beads arranged in a first pattern, and a second bead group including second beads arranged in a second pattern different from the first pattern, wherein the first and second bead groups have different cross ratios or different segment ratios from each other, the first beads are arranged in a line, and the second beads are arranged in a line.