AFT-Net MRI Reconstruction for Noisy K-Space Mapping

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Solution Overview

Problem

Conventional MRI image reconstruction methods struggle with noise and distortion due to random error and lack generality, especially when dealing with raw data from MRI scanners, leading to unreliable and inconsistent image quality.

Innovation Solution

A unified complex-valued image reconstruction approach using the Artificial Fourier Transform (AFT) framework, integrated with deep learning networks like AFT-Net, to learn the mapping between k-space and image domains, effectively removing noise and preserving structural information.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If conventional Fourier transformation methods are used for MRI reconstruction, then the reconstruction process is straightforward and computationally efficient, but the image quality suffers from noise and distortion due to random error

Engineering Contradiction:
Improveimage qualityVSAvoidreconstruction framework complexity
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The patent introduces an Artificial Fourier Transform (AFT) network as an intermediary between raw k-space data and final image reconstruction. This neural network mediator learns to map k-space data to image domain while inherently handling noise and distortion, resolving the contradiction by placing a smart intermediary layer that improves reliability without requiring complete redesign of the reconstruction pipeline

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The AFT network employs fully adjustable parameters that can be fine-tuned through training on specific datasets. By changing the parameters of the transformation function from fixed mathematical constants to learnable parameters, the system adapts to reduce noise and distortion while maintaining reconstruction accuracy, thus improving image quality without excessive complexity

Inventive Principle:
Principle #35Parameter changes

2Loss of information

If domain conversion from k-space to image domain is performed using conventional methods, then the process is simple and fast, but information loss occurs inevitably during the transformation

Engineering Contradiction:
Improveinformation preservationVSAvoidreconstruction time
Core Design Contradiction:
Loss of informationVSLoss of time

Solution Approach 1:

The AFT network performs preliminary learning of the k-space to image domain mapping during a training phase. By pre-learning the optimal transformation that preserves information, the network embeds this knowledge into its parameters, allowing fast inference without information loss during actual reconstruction, thus resolving the time-quality tradeoff

Inventive Principle:
Principle #10Preliminary action

3Reliability

If deep learning networks with multiple layers are used for MRI reconstruction, then noise removal and structural preservation improve, but the computational complexity and training requirements increase significantly

Engineering Contradiction:
Improvedenoising performanceVSAvoidcomputational energy consumption
Core Design Contradiction:
ReliabilityVSUse of energy by moving object

Solution Approach 1:

The reconstruction task is segmented into distinct functional modules within the AFT network: k-space data input, complex-valued feature extraction layers, transformation blocks, and image domain output. This segmentation allows each module to be optimized independently for noise removal while controlling overall computational energy consumption through selective training and inference

Inventive Principle:
Principle #1Segmentation

Data Source

PatentUS20260051099A1Systems and Methods for Deep Learning-Based MRI Reconstruction with Artificial Fourier Transform (AFT)
Publication Date: 2026.02.19 THE TRUSTEES OF COLUMBIA UNIV IN THE CITY OF NEW YORK
  • US20260051099A1 patent drawing
  • US20260051099A1 patent drawing
  • US20260051099A1 patent drawing

AI summary

Disclosed are methods, systems, and other implementations, including a unified complex-valued deep learning framework (AFT-Net), which determines the k-space domain to image domain mapping for MRI reconstruction and allows incorporation of existing deep learning models. Embodiments include a computer-implemented method for reconstructing images that includes obtaining resonance (MR) k-space data resulting from a scan performed by an MRI scanner on tissue of a patient, with the MR k-space data including complex-valued data, and processing, by a complex-valued machine learning image reconstruction system, the complex-valued data of the MR k-space data to generate image data representing features of the MR k-space data. The processing may include performing data filtering operations, by one or more machine learning filter blocks implemented according to a CU-Net architecture realized using one or more convolutional neural networks (CNN) configured for complex data processing, on data that is based on the k-space data.