# 2D and 3D Vascular Structures Enhancement via Multiscale Fractional Anisotropy Tensor

## TL;DR

This paper introduces a novel enhancement function for vascular structure detection that overcomes limitations of Hessian-based methods, demonstrating superior results in 2D and 3D biomedical images.

## Contribution

The paper proposes a new enhancement function that improves the detection of curve-like vascular structures beyond existing Hessian-based techniques.

## Key findings

- Achieves higher quality vascular enhancement in synthetic and real images.
- Outperforms existing Hessian-based methods in experiments.
- Effective for both 2D and 3D biomedical images.

## Abstract

The detection of vascular structures from noisy images is a fundamental process for extracting meaningful information in many applications. Most well-known vascular enhancing techniques often rely on Hessian-based filters. This paper investigates the feasibility and deficiencies of detecting curve-like structures using a Hessian matrix. The main contribution is a novel enhancement function, which overcomes the deficiencies of established methods. Our approach has been evaluated quantitatively and qualitatively using synthetic examples and a wide range of real 2D and 3D biomedical images. Compared with other existing approaches, the experimental results prove that our proposed approach achieves high-quality curvilinear structure enhancement.