Related Experiment Video
Updated: Jan 21, 2026

Trajectory Data Analyses for Pedestrian Space-time Activity Study
Published on: February 25, 2013
Inductive measurement and encoding of k-space trajectories in MR raw data
Jan Ole Pedersen1,2,3, Christian G Hanson4, Rong Xue5,6
1Department of Health Technology, Center for Magnetic Resonance, Technical University of Denmark, Kongens Lyngby, Denmark.
Researchers developed a novel method to precisely measure magnetic resonance imaging (MRI) k-space trajectories inductively. This technique improves image quality and reduces reconstruction errors, offering a cost-effective solution for concurrent data acquisition.
Area of Science:
- Medical Imaging
- Magnetic Resonance Imaging (MRI)
Background:
- Accurate k-space trajectory measurement is crucial for high-quality MRI reconstruction.
- Current methods for estimating k-space trajectories can be prone to errors, impacting image fidelity.
Purpose of the Study:
- To concurrently acquire inductive k-space trajectory measures alongside MR imaging data.
- To evaluate the feasibility and effectiveness of this novel measurement technique.
Main Methods:
- 1D gradient measures were obtained via digital integration, regularized with gradient coil current data.
- Gradient measures were frequency modulated into an RF signal for scanner reception.
- Custom circuitry was used for gradient measure generation and frequency modulation.
Main Results:
- The inductive k-space trajectory measure slightly improved image quality for echo planar imaging (EPI) compared to scanner-estimated trajectories.
- A 76% reduction in root-mean-square error was achieved for spiral trajectories using the regularized inductive measure.
Conclusions:
- The study demonstrated the feasibility of inductively measuring k-space trajectories with enhanced precision through regularization.
- This approach presents a potentially inexpensive method for concurrent k-space trajectory acquisition during MRI scans.
Related Concept Videos
Encoding
Automatic processing involves the encoding of details like time, space, frequency, and the meaning of words, usually done without conscious...
State Space Representation
Consider an RLC circuit, a...
Space Trusses
At the core of a space truss lies the fundamental unit known as the tetrahedron. This structure is composed of six members that form a three-dimensional shape...
Transfer Function to State Space
In an RLC...
State Space to Transfer Function
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
Space Trusses: Problem Solving
Consider a tripod consisting of a tetrahedral space truss with a ball-and-socket joint at C. Suppose the height and lengths of the horizontal and vertical...

