2019
DOI: 10.1007/978-3-030-11024-6_26
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2D and 3D Vascular Structures Enhancement via Multiscale Fractional Anisotropy Tensor

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… Show more

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Cited by 10 publications
(15 citation statements)
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“…Our hybrid vesselness filter for vascular structures enhancement takes the advantages of vesselness enhancement diffusion, and integrates the improved Frangi's filter based on the ratio of eigenvalues of the Hessian matrix. The proposed method is mainly compared with Frangi's filter [14], Jerman's method [20] and multiscale fractional anisotropy tensor (MFAT) method [23]. The main reasons are summarized in the following aspects: 1) Frangi's filter is widely used, since it is easy to implement, and returns very high response uniformity on objects with uniform intensities.…”
Section: Resultsmentioning
confidence: 99%
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“…Our hybrid vesselness filter for vascular structures enhancement takes the advantages of vesselness enhancement diffusion, and integrates the improved Frangi's filter based on the ratio of eigenvalues of the Hessian matrix. The proposed method is mainly compared with Frangi's filter [14], Jerman's method [20] and multiscale fractional anisotropy tensor (MFAT) method [23]. The main reasons are summarized in the following aspects: 1) Frangi's filter is widely used, since it is easy to implement, and returns very high response uniformity on objects with uniform intensities.…”
Section: Resultsmentioning
confidence: 99%
“…The proposed method is found to achieve 96.96 ± 0.70, 3.04 ± 0.70, 5.39 ± 1.25 and 96.56 ± 0.94 percentage of TP, FN, FP, and OM rate for all 10 datasets, respectively. Moreover, low level of noise was added to the 2011 Vas-cuSynth Sample Data [30], [31], and the proposed method was tested compared with Jerman's method [20] and the Multiscale Fractional Anisotropy Tensor (MFAT) method [23]. The comparison results are presented in Table 3.…”
Section: Table 2 Segmentation Results On 2013 Vascusynth Sample (%)mentioning
confidence: 99%
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“…To emulate the multiscale Hessian-based Vesselness approach used in phenoVein (Bühler et al, 2015), the MATLAB fibremetric implementation of the Frangi 'Vesselness' filter (Frangi et al, 1998) was used with vein thickness between 4 and 9 pixels, applied over four scales using a Gaussian image pyramid (Burt & Adelson, 1983) to cover the largest veins. We also tested improved Hessian-based enhancement techniques using Multiscale Fractional Anisotropy Tensors (MFAT), in both their eigenvalue-based (MFAT λ ) and probability-based (MFAT p ) form (Alhasson et al, 2019), and the intensity-independent, multiscale phase-congruency enhancement developed by Kovesi (Kovesi, 1999(Kovesi, , 2000, which was previously used to segment fungal (Obara et al, 2012), slime mould (Fricker et al, 2017) and ER networks (Pain et al, 2019). We used the normalised local weighted mean phase angle ('Feature Type') to give intensity-independent enhancement of vein structures, initially calculated over 3-5 scales and six orientations, and then applied to an image pyramid to cover larger scales.…”
Section: Comparison With Other Vein Segmentation Methodsmentioning
confidence: 99%
“…Hessian-based enhancement techniques using Multiscale Fractional Anisotropy Tensors (MFAT), in both their eigenvalue-based (MFATλ) and probability-based (MFATp) form (Alhasson et al, 2018), and the intensity-independent, multiscale phase-congruency enhancement developed by Kovesi (Kovesi, 1999;Kovesi, 2000), that we have previously used to segment fungal (Obara et al, 2012), slime mold (Fricker et al, 2017) and ER networks (Pain et al, 2019). We used the normalized local weighted mean phase angle ('Feature Type') to give intensity-independent enhancement of vein structures, initially calculated over 3-5 scales and 6 orientations, and then applied to an image pyramid to cover larger scales.…”
Section: Comparison With Other Vein Segmentation Methodsmentioning
confidence: 99%