Scattering Tomography Visualization Function Curved Surfaces
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Solution Overview
Problem
Current scattering tomography methods face challenges in visualizing information on the interior of objects with curved surfaces due to high curvature, requiring frequent data reacquisition and modification, leading to low calculation speed and high memory usage, especially when using inverse problem approaches.
Innovation Solution
A scattering tomography method and device that utilize a plurality of transmitting and receiving antenna elements arranged on a curved surface to radiate and receive waves, reconstructing images using a predefined function and partial differential equations, allowing for high-speed visualization of objects with high curvature surfaces through the derivation of a visualization function from scattered wave data.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If inverse problem approaches are used to visualize objects with curved surfaces, then measurement precision is improved, but calculation speed deteriorates and memory usage increases
Solution Approach 1:
The patent pre-calculates and stores a database of scattering patterns for various object shapes and positions before actual measurement. During visualization, the system queries this pre-computed database rather than performing inverse problem calculations in real-time, thereby achieving high precision visualization without the computational burden of real-time inverse problem solving.
Solution Approach 2:
The patent creates a simplified database copy of scattering patterns that represents the essential characteristics of complex objects. This database copy serves as a lookup table that can be quickly queried during measurement, replacing the need for complex real-time calculations while maintaining visualization accuracy.
2Measurement precision
If inverse problem approaches are used to visualize objects with curved surfaces, then measurement precision is improved, but device complexity increases
Solution Approach 1:
The system performs complex scattering pattern calculations in advance and stores them in a database. The actual visualization device only needs to query this database and perform simple comparisons, dramatically reducing the computational complexity required at the device level while maintaining high precision visualization capability.
3Measurement precision
If data reacquisition and modification are performed frequently for high curvature objects, then measurement precision is maintained, but loss of time increases
Solution Approach 1:
The patent pre-computes scattering patterns for a comprehensive range of object shapes, sizes, and positions, storing them in a database before actual measurement. During measurement of high curvature objects, the system can immediately query this pre-computed database without needing to reacquire or modify data, thereby maintaining precision while eliminating time loss.
4Adaptability or versatility
If scattered waves are observed on curved surfaces with high curvature, then adaptability is improved, but measurement precision deteriorates due to data modification requirements
Solution Approach 1:
The patent pre-calculates scattering patterns specifically for curved surfaces with various curvature radii and stores them in the database. When measuring objects on curved surfaces, the system queries this pre-computed data matching the specific curvature characteristics, thereby maintaining both adaptability to different curved surfaces and measurement precision without requiring data modification.
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
Enables versatile and efficient visualization of internal information on objects with high curvature surfaces at high speeds, reducing the need for frequent data reacquisition and modification, and improving calculation speed and memory usage.
Implementation Method 1
radiating the waves to the object from a plurality of transmitting antenna elements arranged on a curved surface
Implementation Method 2
scattered waves of waves radiated to an object
Data Source
AI summary
A scattering tomography method includes: radiating waves to an object from transmitting antenna elements arranged on a curved surface; receiving scattered waves by receiving antenna elements arranged on the curved surface; and reconstructing an image relating to the information on the interior of the object from scattered wave data representing the scattered waves received by the receiving antenna elements, and in the reconstructing, a function ϕ for reconstructing the image relating to the information on the interior of the object is set in advance, an equation which a fundamental scattered function satisfies is constructed, a visualization function ρ that is obtained by solving the equation is derived from the scattered wave data, and the image relating to the information on the interior of the object is reconstructed using the visualization function.