Hermetic Transform Imaging Signal Resolution
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Solution Overview
Problem
Current imaging technologies, such as CT and MRI, face limitations in achieving high image resolution due to the reliance on Fourier Transform mathematics, which restricts the processing and engineering of imaging devices, leading to suboptimal signal frequency and phase resolution.
Innovation Solution
The implementation of Hermetic Transforms, which offer higher resolution by processing signals through Hermetic Transform and Inverse Hermetic Transform operations, allowing for improved signal oversampling and beamforming, enabling the construction of devices with smaller, less expensive magnets while maintaining or exceeding current resolution standards.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If Fourier Transform mathematics are used for image processing, then the processing method is well-established and easy to implement, but the image resolution and signal frequency resolution are limited
Solution Approach 1:
The patent applies parameter changes by transitioning from Fourier Transform to Hermetic Transform mathematics. This fundamental mathematical parameter change enables superior signal frequency and phase resolution, directly improving image resolution while allowing for more sophisticated signal processing capabilities that were previously unattainable with conventional Fourier methods.
2Measurement precision
If conventional Fourier Transform methods are used, then the imaging device structure is standardized, but the signal frequency and phase resolution are suboptimal
Solution Approach 1:
The patent implements parameter changes by adopting Hermetic Transform mathematics, which provides superior signal frequency and phase resolution compared to conventional Fourier Transform. This mathematical paradigm shift enables more precise signal analysis and imaging capabilities, directly addressing the measurement precision requirement while accepting increased processing complexity.
3Measurement precision
If Hermetic Transforms are implemented, then image resolution and signal processing capability are enhanced, but the processing complexity and computational requirements increase
Solution Approach 1:
The patent applies parameter changes by implementing Hermetic Transform operations, which provide enhanced signal phase and frequency resolution. This mathematical transformation enables superior image reconstruction quality and signal analysis capabilities, directly improving measurement precision while inherently increasing processing algorithm complexity compared to standard Fourier methods.
Data Source
AI summary
In an exemplary embodiment, a tomography device comprises a scanner that obtains image slices. The device additionally comprises at least one processor configured to: perform a Hermetic Transform on the image slices to obtain hermetically transformed data using; filter and perform an Inverse Hermetic Transform on the Hermetic Transform data to obtain filtered inverse Hermetic Transform data; and perform back projection and angle integration on the filtered inverse Hermetic Transform data.