Multi-modal synergistic PET and MR reconstruction using mutually weighted quadratic priors
Abolfazl Mehranian1, Martin A Belzunce1, Colm J McGinnity2
1Department of Biomedical Engineering, School of Biomedical Engineering and Imaging Sciences, King's College London, United Kingdom.
Magnetic Resonance in Medicine
|October 17, 2018
Summary
This study introduces a new framework for synergistic reconstruction of PET-MR and multi-contrast MR data, significantly improving image quality by reducing noise and artifacts in both PET and MR imaging.
Area of Science:
- Medical Imaging
- Image Reconstruction
- Multimodal Imaging
Background:
- Positron Emission Tomography (PET) and Magnetic Resonance (MR) imaging are crucial diagnostic tools.
- Noisy PET data and undersampled MR data often lead to suboptimal image quality.
- Improving the quality of simultaneously acquired PET-MR data is essential for accurate diagnosis.
Purpose of the Study:
- To propose a novel framework for synergistic reconstruction of PET-MR and multi-contrast MR data.
- To enhance image quality by addressing noise in PET and undersampling artifacts in MR.
- To develop a method that leverages the strengths of both PET and MR imaging for improved reconstruction.
Main Methods:
- Development of weighted quadratic priors to preserve common boundaries and reduce artifacts.
- Iterative reweighting of priors using normalized multi-modal Gaussian similarity kernels.
- Integration of synergistic reconstruction within PET maximum a posteriori expectation maximization and MR regularized sensitivity encoding algorithms.
Main Results:
- Synergistic reconstructions demonstrated the lowest quantification errors across all modalities compared to conventional methods.
- The proposed method effectively reduced PET Gibbs ringing and MR undersampling artifacts.
- In vivo MR data showed maintained image quality with significant acceleration (3x and 14x), and PET-MR reconstruction showed improved performance over independent methods.
Conclusions:
- The proposed methodology provides a robust framework for multi-modal synergistic image reconstruction.
- This framework can be readily integrated with existing established image reconstruction algorithms.
- The approach offers significant improvements in image quality for combined PET-MR and multi-contrast MR imaging.
Related Concept Videos
Mutual Inductance
3.8K
Inductance is the property of a device that tells us how effectively it induces an emf in another device. In other words, it is a physical quantity that expresses the effectiveness of a given device.
When two circuits carrying time-varying currents are close to one another, the magnetic flux through each circuit varies because of the changing current in the other circuit. Consequently, an emf is induced in each circuit by the changing current in the other. Therefore, this type of emf is called...
When two circuits carrying time-varying currents are close to one another, the magnetic flux through each circuit varies because of the changing current in the other circuit. Consequently, an emf is induced in each circuit by the changing current in the other. Therefore, this type of emf is called...
3.8K
Quadratic Equations
360
A quadratic equation is an algebraic expression where a variable is raised to the second power and combined with its first power and a constant; all equated to zero. These equations are frequently used to model relationships involving area, motion, and optimization. The general representation of a quadratic equation iswhere a, b, and c are real values, and a is nonzero to ensure the presence of the squared term.One method for solving a quadratic equation involves rewriting it as a product of...
360
Quadratic Models
238
Quadratic models are mathematical representations used to describe relationships in which the rate of change changes at a constant rate. These models appear in a wide variety of natural and engineered systems, especially those involving motion, forces, and optimization. One common application is analyzing the vertical motion of objects influenced by gravity, such as a ball thrown into the air.In such scenarios, the object's height changes over time in a curved pattern, rising to a maximum point...
238
Quadratic Equations in the Complex Number System
521
A quadratic equation in the form ax2+bx+c=0 can have solutions that vary in nature depending on the value of the discriminant, b2−4ac. In this expression, a is the coefficient of the quadratic term x2, b is the coefficient of the linear term x, and c is the constant term. When the discriminant is negative, the equation has no real number solutions. However, by introducing complex numbers through the imaginary unit i, defined by i=-1, these equations can still be solved.The square root of...
521
Sensory Modalities
3.9K
Sensation typically is the process by which the sensory receptors and sense organs detect stimuli from the internal and external environment and transmit this information to the central nervous system for processing.
General senses refer to the broad category of sensory information detected by receptors in the body and can be further grouped into somatic and visceral senses. Somatic sensations include touch, pressure, temperature, and pain and are essential for navigating our environment and...
General senses refer to the broad category of sensory information detected by receptors in the body and can be further grouped into somatic and visceral senses. Somatic sensations include touch, pressure, temperature, and pain and are essential for navigating our environment and...
3.9K
Weighted Mean
6.3K
While taking the arithmetic, geometric, or harmonic mean of a sample data set, equal importance is assigned to all the data points. However, all the values may not always be equally important in some data sets. An intrinsic bias might make it more important to give more weightage to specific values over others.
For example, consider the number of goals scored in the matches of a tournament. While computing the average number of goals scored in the tournament, it may be more important to...
For example, consider the number of goals scored in the matches of a tournament. While computing the average number of goals scored in the tournament, it may be more important to...
6.3K


