Abstract
In this paper, we propose a new marked point process (MPP) model and the associated optimization technique to extract curvilinear structures. Given an image, we compute the intensity variance and rotated gradient magnitude along the line segment. We constrain high level shape priors of the line segments to obtain smoothly connected line configuration. The optimization technique consists of two steps to reduce the significance of the parameter selection in our MPP model. We employ Monte Carlo sampler with delayed rejection to collect line hypotheses over different parameter spaces. Then, we maximize the consensus among line detection results to reconstruct the most plausible curvilinear structures without parameter estimation process. Experimental results show that the algorithm effectively localizes curvilinear structures on a wide range of datasets.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Arbeáez, P., Maire, M., Fowlkes, C., Malik, J.: Contour detection and hierarchical image segmentation. IEEE TPAMI 33(5), 898–916 (2011)
Batool, N., Chellappa, R.: Modeling and detection of wrinkles in aging human faces using marked point processes. In: Fusiello, A., Murino, V., Cucchiara, R. (eds.) ECCV 2012 Ws/Demos, Part II. LNCS, vol. 7584, pp. 178–188. Springer, Heidelberg (2012)
Becker, C., Rigamonti, R., Lepetit, V., Fua, P.: Supervised feature learning for curvilinear structure segmentation. In: Mori, K., Sakuma, I., Sato, Y., Barillot, C., Navab, N. (eds.) MICCAI 2013, Part I. LNCS, vol. 8149, pp. 526–533. Springer, Heidelberg (2013)
Celeux, G., Chauveau, D., Diebolt, J.: Stochastic versions of the EM algorithm: an experimental study in the mixture case. J. Statist. Comput. Simulation 55(4), 287–314 (1996)
Chambon, S., Gourraud, C., Moliard, J.M., Nicolle, P.: Road crack extraction with adapted filtering and Markov model-based segmentation. In: VISAPP(2), pp. 81–90 (May 2010)
Chatelain, F., Descombes, X., Lafarge, F., Lantuejoul, C., Mallet, C., Minlos, R., Schmitt, M., Sigelle, M., Stoica, R., Zhizhina, E.: Stochastic geometry for image analysis. Wiley-ISTE (2012)
Descombes, X., Zerubia, J.: Marked point process in image analysis. IEEE SPM 19(5), 77–84 (2002)
Frangi, A.F., Niessen, W.J., Vincken, K.L., Viergever, M.A.: Multiscale vessel enhancement filtering. In: Wells, W.M., Colchester, A.C.F., Delp, S.L. (eds.) MICCAI 1998. LNCS, vol. 1496, pp. 130–137. Springer, Heidelberg (1998)
Freeman, W.T., Adelson, E.H.: The design and use of steerable filters. IEEE TPAMI 13(9), 891–906 (1991)
Gamal-Eldin, A., Descombes, X., Charpiat, G., Zerubia, J.: Multiple birth and cut algorithm for point process optimization. In: SITIS (2010)
Gilks, W.R., Richardson, S., Spiegelhalter, D.: Markov chain Monte Carlo in practice. Chapman & Hall/CRC (1995)
González, G., Türetken, E., Fleuret, F., Fua, P.: Delineating trees in noisy 2D images and 3D image-stacks. In: CVPR, pp. 2799–2806 (June 2010)
Green, P.J.: Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika 82(4), 711–732 (1995)
Green, P.J., Mira, A.: Delayed rejection in reversible jump Metropolis-Hastings. Biometrika 88(4), 1035–1053 (2001)
Jacob, M., Unser, M.: Design of steerable filters for feature detection using Canny-like criteria. IEEE TPAMI 26(8), 1007–1019 (2004)
Jeong, S.G., Tarabalka, Y., Zerubia, J.: Marked point process model for facial wrinkle detection. To appear ICIP (October 2014)
Kirkpatrick, S., Gelatt, C.D., Vecchi, M.P.: Optimization by simulated annealing. Science 220(4598), 671–680 (1983)
Lacoste, C., Descombes, X., Zerubia, J.: Point processes for unsupervised line network extraction in remote sensing. IEEE TPAMI 27(10), 1568–1579 (2005)
Law, M.W.K., Chung, A.C.S.: Three dimensional curvilinear structure detection using optimally oriented flux. In: Forsyth, D., Torr, P., Zisserman, A. (eds.) ECCV 2008, Part IV. LNCS, vol. 5305, pp. 368–382. Springer, Heidelberg (2008)
Van Lieshout, M.N.M.: Markov point processes and their application. Imperial College Press (2000)
Moller, J., Waagepetersen, R.P.: Statistical inference and simulation for spatial point processes. Chapman & Hall/CRC (2003)
Predoehl, A., Barnard, K.: A statistical model for recreational trails in aerial images. In: CVPR, pp. 337–344 (June 2013)
Robert, C.P., Casella, G.: Monte Carlo statistical methods. Springer (2004)
Schlecht, J., Barnard, K., Spriggs, E., Pryor, B.: Inferring grammar-based structure models from 3D microscopy data. In: CVPR, pp. 1–8 (June 2007)
Staal, J.J., Abramoff, M.D., Niemeijer, M., Viergever, M.A., van Ginneken, B.: Ridge based vessel segmentation in color images of the retina. IEEE TMI 23(4), 501–509 (2004)
Stoyan, D., Kendall, W.S., Mecke, J.: Stochastic geometry and its applications. Wiley (1987)
Talbot, H., Appleton, B.: Efficient complete and incomplete path openings and closings. Image and Vision Computing 25(4), 416–425 (2007)
Tu, Z., Zhu, S.C.: Parsing images into regions, curves, and curve groups. IJCV 69(2), 223–249 (2006)
Türetken, E., Benmansour, F., Andres, B., Pfister, H., Fua, P.: Reconstructing loopy curvilinear structures using integer programming. In: CVPR, pp. 1822–1829 (June 2013)
Valero, S., Chanussot, J., Bendiktsson, J., Talbot, H., Waske, B.: Advanced directional mathematical morphology for the detection of the road network in very high resolution remote sensing images. Pattern Recognition Lett. 31(10), 1120–1127 (2010)
Verdié, Y., Lafarge, F.: Detecting parametric objects in large scenes by Monte Carlo sampling. IJCV 106(1), 57–75 (2014)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Jeong, SG., Tarabalka, Y., Zerubia, J. (2015). Marked Point Process Model for Curvilinear Structures Extraction. In: Tai, XC., Bae, E., Chan, T.F., Lysaker, M. (eds) Energy Minimization Methods in Computer Vision and Pattern Recognition. EMMCVPR 2015. Lecture Notes in Computer Science, vol 8932. Springer, Cham. https://doi.org/10.1007/978-3-319-14612-6_32
Download citation
DOI: https://doi.org/10.1007/978-3-319-14612-6_32
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-14611-9
Online ISBN: 978-3-319-14612-6
eBook Packages: Computer ScienceComputer Science (R0)