Related Experiment Video
Updated: Jun 8, 2026

Monitoring the Wall Mechanics During Stent Deployment in a Vessel
Published on: May 8, 2012
A strain energy filter for 3D vessel enhancement
Changyan Xiao1, Marius Staring, Denis Shamonin
1Division of Image Processing, Department of Radiology, Leiden University Medical Center, P.O. Box 9600, 2300 RC, Leiden, The Netherlands.
We developed a new method using a shape-tuned strain energy density function to improve the detection of complex vascular structures in 3D images. This approach effectively handles non-cylindrical objects, enhancing vessel details and branches.
Area of Science:
- Medical Imaging
- Image Processing
- Biomedical Engineering
Background:
- Traditional Hessian-related vessel filters struggle with non-cylindrical objects in 3D imaging.
- Accurate vessel segmentation is crucial for diagnosing and treating various medical conditions.
Purpose of the Study:
- To introduce a novel shape-tuned strain energy density function for enhanced vessel likelihood measurement in 3D images.
- To overcome the limitations of existing methods in handling complex vascular geometries.
Main Methods:
- Formulated a new function based on tensor invariants and the stress-strain principle from mechanics.
- Developed a shape discriminating and vessel strength measure function.
- Validated the method using both synthetical and clinical 3D image data.
Main Results:
- The proposed method demonstrates superior performance in enhancing complex vascular structures.
- Effectively identifies and enhances vessel branches, bifurcations, and fine feature details.
- Successfully addresses the limitations of traditional filters with non-cylindrical objects.
Conclusions:
- The shape-tuned strain energy density function offers a robust solution for 3D vessel enhancement.
- This method improves the visualization and analysis of intricate vascular networks.
- Paves the way for more accurate medical image analysis in vascular research.
Related Concept Videos
Three-Dimensional Analysis of Strain
Transformation of Plane Strain
Under plane strain conditions, typical for members where one dimension significantly exceeds the others, deformations and resultant strains are...
Elastic Strain Energy for Normal Stresses
If...
Strain Energy
Consider a rod that is fixed at one end and subjected to an axial force at the free end. This axial force induces stress within the rod, leading to its elongation. As the axial force increases, so does the elongation of the rod, illustrating a direct relationship between the force applied and the resulting...
Elastic Strain Energy for Shearing Stresses
Strain-Energy Density
In the elastic region of a material, the relationship between the stress and the strain is linear and follows Hooke's Law. The strain energy density in this region...

