Laterally Oscillating Trajectory for Undersampling Slices: LOTUS
Mayuri Sothynathan1,2, Paul I Dubovan3,4, Corey A Baron1,5
1Centre for Functional and Metabolic Mapping (CFMM), Robarts Research Institute, Western University, London, Ontario, Canada.
Magnetic Resonance in Medicine
|June 10, 2026
Summary
A new diffusion MRI technique, Laterally Oscillating Trajectory for Undersampling Slices (LOTUS), improves image quality and reduces scan time by enabling faster simultaneous multislice imaging. This method minimizes g-factor for better diffusion MRI data acquisition.
Area of Science:
- Medical Imaging
- Magnetic Resonance Imaging (MRI)
- Diffusion MRI
Background:
- Spiral sampling in diffusion MRI offers signal-to-noise ratio (SNR) benefits.
- Simultaneous multislice (SMS) acceleration in diffusion MRI is crucial for reducing scan times.
- Exploration of SMS acceleration with spiral trajectories remains limited.
Purpose of the Study:
- Introduce Laterally Oscillating Trajectory for Undersampling Slices (LOTUS), a novel 3D spiral-like k-space trajectory.
- Minimize g-factor through controlled incoherent aliasing for improved image reconstruction.
- Develop a constrained reconstruction approach for robust g-factor estimation in non-Cartesian reconstructions.
Main Methods:
- Simulated data acquisition using LOTUS and other trajectories on a numerical phantom.
- In vivo diffusion-weighted brain MRI acquisition in two subjects with varying acceleration factors (in-plane and slice).
- Quantitative and qualitative comparison of trajectory performance using g-factor maps and fractional anisotropy (FA) maps, with and without compressed sensing.
Main Results:
- Simulations demonstrated reduced g-factor (20%-31%) and improved reconstruction accuracy with LOTUS compared to other trajectories.
- In vivo acquisitions showed g-factor benefits and qualitative image quality improvements consistent with simulations.
- LOTUS performance improvements increased with higher numbers of simultaneous slices in both simulations and in vivo data.
Conclusions:
- LOTUS enables higher rates of slice acceleration in diffusion MRI.
- This acceleration capability has the potential to significantly decrease overall scan time.
- The findings highlight LOTUS as a promising technique for efficient diffusion MRI acquisition.
Related Concept Videos
Orthogonal Trajectories
Orthogonal trajectories describe the geometric relationship between two families of curves that intersect each other at right angles. One illustrative case involves a family of parabolas that open sideways along the x-axis. These curves share a common shape but differ by a scaling parameter, resulting in a set of curves that all pass through the origin and widen at different rates.Determining Orthogonal TrajectoriesTo identify the orthogonal trajectories for these parabolas, the first step...
Upsampling
Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
Boundary Conditions: Lossless Lines
Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
Curvilinear Motion: Rectangular Components
Curvilinear motion characterizes the movement of a particle or object along a curved path, notably evident when envisioning a car navigating a winding road. If the car starts at point A, its position vector is established within a fixed frame of reference, where the ratio of the position vector to its magnitude signifies the unit vector pointing in the position vector's direction.
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the time...
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the time...
Steady, Laminar Flow Between Parallel Plates
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
Linear Approximation in Time Domain
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...


