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We introduce a new weighted covariance and bias (WCB) loss function for deep neural networks (DNNs) to control CT image quality. This method allows tunable control over variance and bias trade-offs, optimizing image properties for specific tasks.

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deep learning reconstructionneural networknoise correlationsspatial resolutiontask-based image qualityvariance bias trade-off

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Area of Science:

  • Medical imaging
  • Computational imaging
  • Deep learning

Background:

  • CT image quality optimization balances variance and bias, controlled by filter cutoff or regularization strength.
  • Deep neural networks (DNNs) lack tunable control over output image properties, typically minimizing mean squared error without trade-off management.
  • Existing methods do not offer granular control over the variance-bias trade-off in DNN-based image reconstruction.

Purpose of the Study:

  • To propose a novel loss function, weighted covariance and bias (WCB), for controlling DNN output image properties.
  • To enable tunable control over the trade-off between variance and bias in neural network image reconstruction.
  • To demonstrate task-specific optimization of image quality for DNNs.

Main Methods:

  • Developed the weighted covariance and bias (WCB) loss function using multiple noise realizations for separate variance and bias penalty weighting.
  • Employed spatial frequency domain penalties for targeted image feature penalization.
  • Evaluated the method using simulations with digital anthropomorphic phantoms and CT measurement physics.

Main Results:

  • The WCB loss function provides superior control over variance-bias trade-offs compared to mean squared error.
  • WCB allows targeted control of specific image properties: variance, bias, spatial resolution, and noise correlation.
  • Optimized WCB weights for a spiculated lung nodule shape discrimination task, demonstrating task-specific performance enhancement.

Conclusions:

  • The WCB loss function offers a new paradigm for controlling DNN image properties in medical imaging.
  • This method enables precise tuning of image quality attributes for improved diagnostic performance.
  • WCB facilitates optimization of DNN outputs for specific clinical tasks, advancing medical image analysis.