Abstract
Centerline is generally used to measure topological and morphological parameters of blood vessels, which is pivotal for the quantitative analysis of vascular diseases. However, previous centerline extraction methods have two drawbacks on complex blood vessels, represented as the failure on ring-like structures and the existing of multi-voxel width. In this paper, we propose a monocentric centerline extraction method for ring-like blood vessels, which consists of three components. First, multiple centerlines are generated from the seed points that are chosen by randomly sprinkling points on blood vessel data. Second, multi-centerline fusion is used to repair the notches of centerlines on ring-like vessels, and the local maximum of distance from oundary is employed to remedy the missing centerline points. Finally, monocentric processing is devised to keep the vascular centerline with single voxel width. We compared the proposed method with Wan et al.’s method and topological thinning on five groups of data including synthesized vascular datasets and MR brain images. The result showed the proposed method performed better than the two contrast methods both by visual inspection and by quantitative assessment, which demonstrated the performance of the proposed method on ring-like blood vessels as well as the elimination of multi-voxel width points.
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References
Antiga L (2002) Patient-specific modeling of geometry and blood flow in large arteries. PhD Dissertation. Politecnico di Milano
Aylward S, Pizer S, Eberly D, Bullitt E (1996) Intensity ridge and widths for tubular object segmentation and description. In: Anon (ed) Proceedings of the workship on mathematical methods in biomedical image analysis. IEEE, San Francisco, CA, pp 131–138
Bian Z, Tan W, Yang J, Liu J, Zhao D (2014) Accurate airway centerline extraction based on topological thinning using graph-theoretic analysis. Biomed Mater Eng 24:3239–3249
Bitter I, Kaufman AE, Sato M (2001) Penalized-distance volumetric skeleton algorithm. IEEE Trans Vis Comput Graph 7:195–206
Bullitt E, Zeng DL, Gerig G, Aylward S, Joshi S, Smith JK, Lin WL, Ewend MG (2005) Vessel tortuosity and brain tumor malignancy: a blinded study. Acad Radiol 12:1232–1240. https://doi.org/10.1016/j.acra.2005.05.027
A C, D B GS (1985) A width-independent fast thinning algorithm. IEEE Trans Pattern Anal Mach Intell 7:463–474
Ćurić G (2014) Function of circle of Willis. J Cereb Blood Flow Metab 34:578–584
Ding M, Tong R, Liao SH, Dong J (2009) An extension to 3D topological thinning method based on LUT for colon centerline extraction. Comput Methods Prog in Biomed 94:39–47
Elattar MA, Wiegerinck EM, Planken RN, Vanbavel E, van Assen HC, Baan J Jr, Marquering HA (2014) Automatic segmentation of the aortic root in CT angiography of candidate patients for transcatheter aortic valve implantation. Med Biol Eng Comput 52:611–618. https://doi.org/10.1007/s11517-014-1165-7
Gray-Edwards HL, Salibi N, Josephson EM, Hudson JA, Cox NR, Randle AN, McCurdy VJ, Bradbury AM, Wilson DU, Beyers RJ et al (2014) High resolution MRI anatomy of the cat brain at 3 Tesla. J Neurosci Methods 227:10–17. https://doi.org/10.1016/j.jneumeth.2014.01.035
Hamarneh G, Jassi P (2010) VascuSynth: simulating vascular trees for generating volumetric image data with ground-truth segmentation and tree analysis. Comput Med Imaging Graph 34:605–616. https://doi.org/10.1016/j.compmedimag.2010.06.002
Hassouna MS, Farag AA (2005) Robust centerline extraction framework using level sets. IEEE Comput Soc Conf Comput Vis Pattern Recog 1: 458–465
Heinzer S, Krucker T, Stampanoni M, Abela R, Meyer EP, Schuler A, Schneider P, Mueller R (2006) Hierarchical microimaging for multiscale analysis of large vascular networks. NeuroImage 32:626–636. https://doi.org/10.1016/j.neuroimage.2006.03.043
Heinzer S, Kuhn G, Krucker T, Meyer E, Ulmann-Schuler A, Stampanoni M, Gassmann M, Marti HH, Mueller R, Vogel J (2008) Novel three-dimensional analysis tool for vascular trees indicates complete micro-networks, not single capillaries, as the angiogenic endpoint in mice overexpressing human VEGF(165) in the brain. NeuroImage 39:1549–1558. https://doi.org/10.1016/j.neuroimage.2007.10.054
Hernández-Hoyos M, Orkisz M, Puech P, Mansard-Desbleds C, Douek P, Magnin IE (2002) Computer-assisted analysis of three-dimensional MR angiograms. Radiographics Rev Publ Radiol Soc North Am Inc 22:421–436
Huang A, Liu HM, Liu HM, Lee CW, Yang CY, Tsang YM, Tsang YM (2009) On concise 3-D simple point characterizations: a marching cubes paradigm. IEEE Trans Med Imaging 28:43–51
Jasika N, Alispahic N, Elma A, Ilvana K, Elma L, Nosovic N (2012) Dijkstra’s shortest path algorithm serial and parallel execution performance analysis. 2012 Proc 35th Int Convention MIPRO 2012: 1811-1815
Jin D, Iyer KS, Chen C, Hoffman EA, Saha PK (2016) A robust and efficient curve skeletonization algorithm for tree-like objects using minimum cost paths. Pattern Recognition Letters 76:32–40. https://doi.org/10.1016/j.patrec.2015.04.002
Kang DG, Suh DC, Ra JB (2009) Three-dimensional blood vessel quantification via centerline deformation. IEEE Trans Med Imaging 28:405–414
Krissian K, Malandain G, Ayache N (1998) Model based multiscale detection and reconstruction of 3D vessels. HAL - INRIA: RR-3442
Krissian K, Malandain G, Ayache N (1998) Model based multiscale detection and reconstruction of 3D vessels. INRIA, City
Kumar RP (2013) Study on liver blood vessel movement during breathing cycle. Colour Vis Comput Symp 8255:1–5
Kumar RP, Albregtsen F, Reimers M, Edwin B, Lango T, Elle OJ (2015) Three-dimensional blood vessel segmentation and centerline extraction based on two-dimensional cross-section analysis. Ann Biomed Eng 43:1223–1234. https://doi.org/10.1007/s10439-014-1184-4
Lahousse L, Tiemeier H, Ikram MA, Brusselle GG (2015) Chronic obstructive pulmonary disease and cerebrovascular disease: a comprehensive review. Respir Med 109:1371–1380. https://doi.org/10.1016/j.rmed.2015.07.014
Lam L, Lee SW, Suen CY (1992) Thinning methodologies—a comprehensive survey. IEEE Trans Pattern Anal Mach Intell 14:869–885
Lee J, Kim G, Lee H, Shin BS, Shin YG (2008) Fast path planning in virtual colonoscopy. Comput Biol Med 38:1012–1023
Lee TC, Kashyap RL, Chu CN (1994) Building skeleton models via 3-D medial surface/axis thinning algorithms. Cvgip Graph Model Image Process 56:462–478
Li H, Yezzi A (2007) Vessels as 4-D curves: global minimal 4-D paths to extract 3-D tubular surfaces and centerlines. IEEE Trans Med Imaging 26:1213–1223. https://doi.org/10.1109/tmi.2007.903696
Mendonça AM, Campilho A (2006) Segmentation of retinal blood vessels by combining the detection of centerlines and morphological reconstruction. IEEE Trans Med Imaging 25:1200–1213
Mortier P, De Beule M, Van Loo D, Masschaele B, Verdonck P, Verhegghe B (2008) Automated generation of a finite element stent model. Med Biol Eng Comput 46:1169–1173. https://doi.org/10.1007/s11517-008-0410-3
Pagidipati NJ, Gaziano TA (2013) Estimating deaths from cardiovascular disease: a review of global methodologies of mortality measurement. Circulation 127:749–756. https://doi.org/10.1161/circulationaha.112.128413
A SR, B E (2002) Initialization, noise, singularities, and scale in height ridge traversal for tubular object centerline extraction. IEEE Trans Med Imaging 21:61–75
Sadleir R, Whelan PF (2005) Colon centerline calculation for CT colonography using optimised 3D topological thinning. Comput Med Imaging Graph 29:251–258
Serrador JM, Picot PA, Rutt BK, Shoemaker JK, Bondar RL (2000) MRI measures of middle cerebral artery diameter in conscious humans during simulated orthostasis. Stroke 31:1672–1678
Tillich M, Hill BB, Paik DS, Petz K, Napel S, Zarins CK, Rubin GD (2001) Prediction of aortoiliac stent-graft length: comparison of measurement methods. Radiology 220:475–483
Wan M, Liang Z, Ke Q, Hong L, Bitter I, Kaufman AE (2002) Automatic centerline extraction for virtual colonoscopy. IEEE Trans Med Imaging 21:1450–1460
Xin L, Gao Z, Xiong H, Ghista D, Ren L, Zhang H, Wu W, Huang W, Hau WK (2016) Three-dimensional hemodynamics analysis of the circle of Willis in the patient-specific nonintegral arterial structures. Biomech Model Mechanobiol 15:1–18
XuJ, Feng D, Wu J, Cui Z (2009) Robust centerline extraction for tree-like blood vessels based on the region growing algorithm and level-set method. 2009 Sixth Int Conf Fuzzy Syst Knowl Discov 4: 586–591 Doi https://doi.org/10.1109/FSKD.2009.916
Yang G, Kitslaar P, Frenay M, Broersen A, Boogers MJ, Bax JJ, Reiber JHC, Dijkstra J (2012) Automatic centerline extraction of coronary arteries in coronary computed tomographic angiography. Int J Cardiovasc Imaging 28:921–933
Zhao F, Liang J, Chen D, Wang C, Yang X, Chen X, Cao F (2015) Automatic segmentation method for bone and blood vessel in murine hindlimb. Med Phys 42:4043–4054. https://doi.org/10.1118/1.4922200
Zhao F, Liang J, Chen X, Liu J, Chen D, Yang X, Tian J (2016) Quantitative analysis of vascular parameters for amicro-CT imaging of vascular networks with multi-resolution. Med Biol Eng Comput 54:511–524. https://doi.org/10.1007/s11517-015-1337-0
Zhao F, Liu J, Qu X, Xu X, Chen X, Yang X, Cao F, Liang J, Tian J (2014) In vivo quantitative evaluation of vascular parameters for angiogenesis based on sparse principal component analysis and aggregated boosted trees. Phys Med Biol 59:7777–7791
Acknowledgements
This work was partly supported by the National Natural Science Foundation of China under Grant Nos. 61601363, 61372046, 61401264, 11571012, 61640418, 81530058, and 61601154; the National Key R&D Program of China under Grant No. 2016YFC1300300; the Science and Technology Plan Program in Shaanxi Province of China under Grant Nos. 2013K12-20-12 and 2015KW-002; the Natural Science Research Plan Program in Shaanxi Province of China under Grant Nos. 2017JQ6017, 2015JM6322, and 2015JZ019; and the Scientific Research Foundation of Northwest University. The MR brain images from healthy volunteers used in this paper were collected and made available by the CASILab at The University of North Carolina at Chapel Hill and were distributed by the MIDAS Data Server at Kitware, Inc.
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All the MR brain data are obtained from public database. No human/animal experiments are involved in this paper.
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Zhao, F., Sun, F., Hou, Y. et al. A monocentric centerline extraction method for ring-like blood vessels. Med Biol Eng Comput 56, 695–707 (2018). https://doi.org/10.1007/s11517-017-1717-8
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DOI: https://doi.org/10.1007/s11517-017-1717-8