3D Image Reconstruction Using Pre-computed Weight Lookup Tables
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Solution Overview
Problem
Current 3D image reconstruction methods using ultrahigh frequency/millimeter wave/terahertz frequencies face challenges in achieving high-speed and high-resolution image reconstruction at any measurement distance due to the need for far-field approximation and interpolation, which reduces accuracy and resolution.
Innovation Solution
An adaptive high-speed/high-resolution 3D image reconstruction method that exactly solves the integral equation for inverse scattering by setting a weight for image reconstruction, allowing parallel processing of measurement values without far-field approximation or Fast Fourier Transform (FFT) usage, enabling accurate reconstruction across varying measurement distances.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If far-field approximation is applied to enable fast computation, then computation speed is improved, but image reconstruction accuracy deteriorates when measurement distance is short
Solution Approach 1:
The patent pre-calculates and stores weight values in a lookup table before measurement, based on the exact integral equation solution. During actual image reconstruction, only simple multiplication and addition operations are needed, avoiding the need to solve complex integral equations in real-time. This preliminary preparation enables fast computation without sacrificing accuracy.
Solution Approach 2:
The patent creates a simplified model by copying the essential weighting information into a lookup table, which can be quickly accessed during reconstruction. Instead of performing complex numerical integration during measurement, the system uses pre-computed weight values that replicate the effect of exact integral equation solutions, achieving both speed and accuracy.
2Productivity
If FFT algorithm is used for fast computation, then computation speed is improved, but measurement distance must be longer than wavelength, limiting applicability
Solution Approach 1:
The patent changes the approach from using FFT with far-field approximation to using exact integral equation solutions with pre-computed weights. This parameter change in the computational method allows the system to work at any measurement distance without being constrained by the wavelength requirement of FFT-based methods.
Solution Approach 2:
By pre-calculating weight values for all possible measurement configurations and storing them in a lookup table, the system prepares all necessary computational parameters in advance. This allows the exact integral equation to be solved efficiently during reconstruction without requiring far-field conditions or FFT algorithms.
3Productivity
If interpolation is applied to obtain periodic measurement values for high-speed FFT, then computation speed is improved, but image reconstruction resolution is lowered
Solution Approach 1:
The patent copies the essential weighting information into a lookup table that can be directly applied to measurement values without interpolation. This eliminates the need to convert non-periodic measurements into periodic form, preserving the original measurement resolution while still enabling fast computation through simple weight-based multiplication and addition.
Data Source
AI summary
Disclosed is a method for performing a 3D image reconstruction at a high speed and high resolution, regardless of a measurement distance. Specifically, a weight for image reconstruction is previously set, and a 3D image reconstruction algorithm is performed at a high speed, without reducing a resolution, by a parallel processing for image reconstruction, a computation of a partial region using a database based on a measurement result, and a generation of a variable pulse waveform.