Magnetic Resonance Simulation Apparatus Reducing Computation Time
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Solution Overview
Problem
Current magnetic resonance numerical simulation methods, such as MAGSI, face inefficiencies in computation due to straightforward calculation of spatial partial differentials, leading to increased computation time and memory consumption.
Innovation Solution
A magnetic resonance numerical simulation apparatus and method that separates the update formula into components, allowing computation of magnetization and spatial partial differentials in specific directions without using non-contributory terms, reducing the arithmetic operation amount and improving computation efficiency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If spatial partial differential of magnetization is computed straightforwardly in MAGSI, then magnetization at freely selected position in voxel is obtained, but computation efficiency deteriorates
Solution Approach 1:
The update formula is segmented into multiple computational steps: (1) computing intermediate values using only contributory spatial partial differentials, (2) updating magnetization based on these intermediate values, and (3) computing updated spatial partial differentials. This segmentation allows the system to compute only the necessary components rather than all spatial partial differentials, thereby improving computation efficiency while maintaining accuracy.
Solution Approach 2:
The invention extracts and identifies only the contributory spatial partial differentials that actually affect the magnetization update at the target position. By taking out and computing only these relevant terms from the complete set of spatial partial differentials, the system eliminates unnecessary computations, directly resolving the contradiction between accuracy and efficiency.
2Measurement precision
If all spatial partial differentials are computed in MAGSI, then complete magnetization information is obtained, but memory consumption increases
Solution Approach 1:
The invention extracts only the contributory spatial partial differentials needed for the magnetization update, storing and processing only these relevant values in memory. This extraction principle reduces the quantity of data held in memory from all spatial partial differentials to only those that contribute to the computation, thereby reducing memory consumption while preserving complete magnetization information.
Solution Approach 2:
The system performs partial computation by calculating only the necessary spatial partial differentials rather than all possible differentials. This partial action approach computes exactly what is needed for the magnetization update without excess computation or storage, optimizing the balance between information completeness and resource usage.
Data Source
AI summary
A processing circuitry inputs, in regard to an isochromat, a value before update of magnetization, and a value before update of a partial differential for the magnetization in each of a spatial direction and/or an angular frequency direction. The processing circuitry executes an arithmetic operation of an update formula representing a time-dependent behavior of magnetic resonance, by using a part of the values before update of the magnetization, and the values before update of the partial differential, and compute, in regard to the isochromat, a value after update of the magnetization, and a value after update of the partial differential for the magnetization in a computation target direction of the spatial direction and/or the angular frequency direction.