{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T22:05:07Z","timestamp":1773871507146,"version":"3.50.1"},"reference-count":117,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2023,9,5]],"date-time":"2023-09-05T00:00:00Z","timestamp":1693872000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,9,5]],"date-time":"2023-09-05T00:00:00Z","timestamp":1693872000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int J Comput Vis"],"published-print":{"date-parts":[[2024,2]]},"DOI":"10.1007\/s11263-023-01881-z","type":"journal-article","created":{"date-parts":[[2023,9,5]],"date-time":"2023-09-05T01:02:01Z","timestamp":1693875721000},"page":"349-391","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["A Region-Based Randers Geodesic Approach for Image Segmentation"],"prefix":"10.1007","volume":"132","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2996-751X","authenticated-orcid":false,"given":"Da","family":"Chen","sequence":"first","affiliation":[]},{"given":"Jean-Marie","family":"Mirebeau","sequence":"additional","affiliation":[]},{"given":"Huazhong","family":"Shu","sequence":"additional","affiliation":[]},{"given":"Laurent D.","family":"Cohen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,9,5]]},"reference":[{"key":"1881_CR1","series-title":"UNITEXT","doi-asserted-by":"publisher","DOI":"10.1007\/978-88-470-1941-6_5","volume-title":"Curves and Surfaces","author":"M Abate","year":"2012","unstructured":"Abate, M., & Tovena, F. (2012). Curves and Surfaces. UNITEXTSpringer Science & Business Media. https:\/\/doi.org\/10.1007\/978-88-470-1941-6_5"},{"key":"1881_CR2","unstructured":"Adams, R. A., & Fournier, J. J. (2003). Sobolev spaces. Elsevier."},{"issue":"2","key":"1881_CR3","doi-asserted-by":"publisher","first-page":"1493","DOI":"10.1137\/17M1139722","volume":"11","author":"L Alvarez","year":"2018","unstructured":"Alvarez, L., Cuenca, C., D\u00edaz, J. I., & Gonz\u00e1lez, E. (2018). Level set regularization using geometric flows. SIAM Journal on Imaging Sciences, 11(2), 1493\u20131523.","journal-title":"SIAM Journal on Imaging Sciences"},{"key":"1881_CR4","doi-asserted-by":"crossref","unstructured":"Appia, V., & Yezzi, A. (2011). Active geodesics: Region-based active contour segmentation with a global edge-based constraint. In Proc. ICCV (pp. 1975\u20131980). IEEE.","DOI":"10.1109\/ICCV.2011.6126468"},{"issue":"1","key":"1881_CR5","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1007\/s10851-005-4968-1","volume":"23","author":"B Appleton","year":"2005","unstructured":"Appleton, B., & Talbot, H. (2005). Globally optimal geodesic active contours. Journal of Mathematical Imaging and Vision, 23(1), 67\u201386.","journal-title":"Journal of Mathematical Imaging and Vision"},{"issue":"5","key":"1881_CR6","doi-asserted-by":"publisher","first-page":"898","DOI":"10.1109\/TPAMI.2010.161","volume":"33","author":"P Arbelaez","year":"2011","unstructured":"Arbelaez, P., Maire, M., Fowlkes, C., & Malik, J. (2011). Contour detection and hierarchical image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 33(5), 898\u2013916.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"1881_CR7","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1007\/s11263-006-6850-z","volume":"69","author":"R Ardon","year":"2006","unstructured":"Ardon, R., & Cohen, L. D. (2006). Fast constrained surface extraction by minimal paths. International Journal of Computer Vision, 69, 127\u2013136.","journal-title":"International Journal of Computer Vision"},{"key":"1881_CR8","volume-title":"An introduction to Riemann\u2013Finsler geometry","author":"D Bao","year":"2012","unstructured":"Bao, D., Chern, S. S., & Shen, Z. (2012). An introduction to Riemann\u2013Finsler geometry (Vol. 200). Springer Science & Business Media."},{"key":"1881_CR9","first-page":"79","volume":"78","author":"M Bardi","year":"2008","unstructured":"Bardi, M., & Capuzzo-Dolcetta, I. (2008). Optimal control and viscosity solutions of Hamilton\u2013Jacobi\u2013Bellman equations. Birkh\u00e4user, 78, 79.","journal-title":"Birkh\u00e4user"},{"issue":"2","key":"1881_CR10","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1007\/s10851-008-0131-0","volume":"33","author":"F Benmansour","year":"2009","unstructured":"Benmansour, F., & Cohen, L. D. (2009). Fast object segmentation by growing minimal paths from a single point on 2D or 3D images. Journal of Mathematical Imaging and Vision, 33(2), 209\u2013221.","journal-title":"Journal of Mathematical Imaging and Vision"},{"issue":"8","key":"1881_CR11","doi-asserted-by":"publisher","first-page":"1400","DOI":"10.1109\/TPAMI.2007.70785","volume":"30","author":"L Bertelli","year":"2008","unstructured":"Bertelli, L., Sumengen, B., Manjunath, B., & Gibou, F. (2008). A variational framework for multiregion pairwise-similarity-based image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 30(8), 1400\u20131414.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"1881_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1017\/S0962492900002518","volume":"4","author":"P Boggs","year":"1995","unstructured":"Boggs, P., & Tolle, J. (1995). Sequential quadratic programming. Acta Numerica, 4, 1\u201351.","journal-title":"Acta Numerica"},{"key":"1881_CR13","doi-asserted-by":"crossref","unstructured":"Bougleux, S., Peyr\u00e9, G., & Cohen, L. D. (2008). Anisotropic geodesics for perceptual grouping and domain meshing. In Proceedings of the ECCV (pp. 129\u2013142).","DOI":"10.1007\/978-3-540-88688-4_10"},{"issue":"2","key":"1881_CR14","doi-asserted-by":"publisher","first-page":"393","DOI":"10.1090\/S0894-0347-02-00411-3","volume":"16","author":"J Bourgain","year":"2003","unstructured":"Bourgain, J., & Brezis, H. (2003). On the equation $$div~y=f$$ and application to control of phases. Journal of the American Mathematical Society, 16(2), 393\u2013426.","journal-title":"Journal of the American Mathematical Society"},{"key":"1881_CR15","doi-asserted-by":"crossref","unstructured":"Boykov, Y., & Kolmogorov, V. (2003). Computing geodesics and minimal surfaces via graph cuts. In Proc. ICCV (p. 26).","DOI":"10.1109\/ICCV.2003.1238310"},{"issue":"9","key":"1881_CR16","doi-asserted-by":"publisher","first-page":"1124","DOI":"10.1109\/TPAMI.2004.60","volume":"26","author":"Y Boykov","year":"2004","unstructured":"Boykov, Y., & Kolmogorov, V. (2004). An experimental comparison of min-cut\/max-flow algorithms for energy minimization in vision. IEEE Transactions on Pattern Analysis and Machine Intelligence, 26(9), 1124\u20131137.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"1881_CR17","first-page":"67","volume":"8","author":"X Bresson","year":"2008","unstructured":"Bresson, X., & Chan, T. F. (2008). Non-local unsupervised variational image segmentation models. UCLA Cam Report, 8, 67.","journal-title":"UCLA Cam Report"},{"issue":"2","key":"1881_CR18","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1007\/s11263-006-6658-x","volume":"68","author":"X Bresson","year":"2006","unstructured":"Bresson, X., Vandergheynst, P., & Thiran, J. P. (2006). A variational model for object segmentation using boundary information and shape prior driven by the Mumford-Shah functional. International Journal of Computer Vision, 68(2), 145\u2013162.","journal-title":"International Journal of Computer Vision"},{"issue":"2","key":"1881_CR19","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1007\/s10851-007-0002-0","volume":"28","author":"X Bresson","year":"2007","unstructured":"Bresson, X., Esedoglu, S., Vandergheynst, P., Thiran, J., & Osher, S. (2007). Fast global minimization of the active contour\/snake model. Journal of Mathematical Imaging and Vision, 28(2), 151\u2013167.","journal-title":"Journal of Mathematical Imaging and Vision"},{"issue":"2","key":"1881_CR20","doi-asserted-by":"publisher","first-page":"184","DOI":"10.1007\/s11263-008-0153-5","volume":"84","author":"T Brox","year":"2009","unstructured":"Brox, T., & Cremers, D. (2009). On local region models and a statistical interpretation of the piecewise smooth Mumford-Shah functional. International Journal of Computer Vision, 84(2), 184\u2013193.","journal-title":"International Journal of Computer Vision"},{"issue":"10","key":"1881_CR21","doi-asserted-by":"publisher","first-page":"3213","DOI":"10.1109\/TIP.2006.877481","volume":"15","author":"T Brox","year":"2006","unstructured":"Brox, T., & Weickert, J. (2006). Level set segmentation with multiple regions. IEEE Transactions on Image Processing, 15(10), 3213\u20133218.","journal-title":"IEEE Transactions on Image Processing"},{"key":"1881_CR22","doi-asserted-by":"publisher","DOI":"10.1090\/gsm\/033\/10","volume-title":"A course in metric geometry, graduate studies in mathematics","author":"D Burago","year":"2022","unstructured":"Burago, D., Burago, Y., & Ivanov, S. (2022). A course in metric geometry, graduate studies in mathematics (Vol. 33). American Mathematical Society. https:\/\/doi.org\/10.1090\/gsm\/033\/10"},{"issue":"1","key":"1881_CR23","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1023\/A:1007979827043","volume":"22","author":"V Caselles","year":"1997","unstructured":"Caselles, V., Kimmel, R., & Sapiro, G. (1997). Geodesic active contours. International Journal of Computer Vision, 22(1), 61\u201379.","journal-title":"International Journal of Computer Vision"},{"issue":"4","key":"1881_CR24","doi-asserted-by":"publisher","first-page":"1113","DOI":"10.1137\/110856733","volume":"5","author":"A Chambolle","year":"2012","unstructured":"Chambolle, A., Cremers, D., & Pock, T. (2012). A convex approach to minimal partitions. SIAM Journal on Imaging Sciences, 5(4), 1113\u20131158.","journal-title":"SIAM Journal on Imaging Sciences"},{"issue":"2","key":"1881_CR25","doi-asserted-by":"publisher","first-page":"266","DOI":"10.1109\/83.902291","volume":"10","author":"TF Chan","year":"2001","unstructured":"Chan, T. F., & Vese, L. A. (2001). Active contours without edges. IEEE Transactions on Image Processing, 10(2), 266\u2013277.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"2","key":"1881_CR26","doi-asserted-by":"publisher","first-page":"130","DOI":"10.1006\/jvci.1999.0442","volume":"11","author":"TF Chan","year":"2000","unstructured":"Chan, T. F., Sandberg, B. Y., & Vese, L. A. (2000). Active contours without edges for vector-valued images. Journal of Visual Communication and Image Representation, 11(2), 130\u2013141.","journal-title":"Journal of Visual Communication and Image Representation"},{"issue":"5","key":"1881_CR27","doi-asserted-by":"publisher","first-page":"1632","DOI":"10.1137\/040615286","volume":"66","author":"TF Chan","year":"2006","unstructured":"Chan, T. F., Esedoglu, S., & Nikolova, M. (2006). Algorithms for finding global minimizers of image segmentation and denoising models. SIAM Journal on Applied Mathematics, 66(5), 1632\u20131648.","journal-title":"SIAM Journal on Applied Mathematics"},{"key":"1881_CR28","doi-asserted-by":"crossref","unstructured":"Chen, D., & Cohen, L. D. (2017). Anisotropic edge-based balloon Eikonal active contours. In Proceedings of the GSI (pp. 782\u2013790).","DOI":"10.1007\/978-3-319-68445-1_90"},{"issue":"6","key":"1881_CR29","doi-asserted-by":"publisher","first-page":"766","DOI":"10.1007\/s10851-017-0776-7","volume":"60","author":"D Chen","year":"2018","unstructured":"Chen, D., & Cohen, L. D. (2018). Fast asymmetric fronts propagation for image segmentation. Journal of Mathematical Imaging and Vision, 60(6), 766\u2013783.","journal-title":"Journal of Mathematical Imaging and Vision"},{"key":"1881_CR30","doi-asserted-by":"crossref","unstructured":"Chen, D., Mirebeau, J. M., & Cohen, L. D. (2016). Finsler geodesics evolution model for region based active contours. In: Proceedings of the BMVC (pp. 22.1\u201322.12).","DOI":"10.5244\/C.30.22"},{"issue":"3","key":"1881_CR31","doi-asserted-by":"publisher","first-page":"458","DOI":"10.1007\/s11263-016-0975-5","volume":"122","author":"D Chen","year":"2017","unstructured":"Chen, D., Mirebeau, J. M., & Cohen, L. D. (2017). Global minimum for a Finsler elastica minimal path approach. International Journal of Computer Vision, 122(3), 458\u2013483.","journal-title":"International Journal of Computer Vision"},{"key":"1881_CR32","doi-asserted-by":"crossref","unstructured":"Chen, D., Cohen, L. D., Mirebeau, J. M., & Tai, X. C. (2021a). An elastica geodesic approach with convexity shape prior. In Proc. ICCV (pp. 6900\u20136909).","DOI":"10.1109\/ICCV48922.2021.00682"},{"key":"1881_CR33","doi-asserted-by":"publisher","first-page":"5056","DOI":"10.1109\/TIP.2021.3078102","volume":"30","author":"D Chen","year":"2021","unstructured":"Chen, D., Spencer, J., Mirebeau, J. M., Chen, K., Shu, M., & Cohen, L. D. (2021). A generalized asymmetric dual-front model for active contours and image segmentation. IEEE Transactions on Image Processing, 30, 5056\u20135071.","journal-title":"IEEE Transactions on Image Processing"},{"key":"1881_CR34","doi-asserted-by":"publisher","first-page":"5138","DOI":"10.1109\/TIP.2021.3078106","volume":"30","author":"D Chen","year":"2021","unstructured":"Chen, D., Zhu, J., Zhang, X., Shu, M., & Cohen, L. D. (2021). Geodesic paths for image segmentation with implicit region-based homogeneity enhancement. IEEE Transactions on Image Processing, 30, 5138\u20135153.","journal-title":"IEEE Transactions on Image Processing"},{"key":"1881_CR35","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2022.3225192","author":"D Chen","year":"2022","unstructured":"Chen, D., Mirebeau, J. M., Shu, M., Tai, X., & Cohen, L. D. (2022). Geodesic models with convexity shape prior. IEEE Transactions on Pattern Analysis and Machine Intelligence. https:\/\/doi.org\/10.1109\/TPAMI.2022.3225192","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"1","key":"1881_CR36","doi-asserted-by":"publisher","first-page":"57","DOI":"10.2140\/pjm.1997.181.57","volume":"181","author":"HI Choi","year":"1997","unstructured":"Choi, H. I., Choi, S. W., & Moon, H. P. (1997). Mathematical theory of medial axis transform. Pacific Journal of Mathematics, 181(1), 57\u201388.","journal-title":"Pacific Journal of Mathematics"},{"issue":"2","key":"1881_CR37","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1016\/1049-9660(91)90028-N","volume":"53","author":"LD Cohen","year":"1991","unstructured":"Cohen, L. D. (1991). On active contour models and balloons. CVGIP: Image Understand, 53(2), 211\u2013218.","journal-title":"CVGIP: Image Understand"},{"key":"1881_CR38","unstructured":"Cohen, L. D. (1997). Avoiding local minima for deformable curves in image analysis. In Curves and Surfaces with Applications in CAGD, pp. 77\u201384."},{"issue":"3","key":"1881_CR39","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1023\/A:1011281928379","volume":"14","author":"LD Cohen","year":"2001","unstructured":"Cohen, L. D. (2001). Multiple contour finding and perceptual grouping using minimal paths. Journal of Mathematical Imaging and Vision, 14(3), 225\u2013236.","journal-title":"Journal of Mathematical Imaging and Vision"},{"issue":"11","key":"1881_CR40","doi-asserted-by":"publisher","first-page":"1131","DOI":"10.1109\/34.244675","volume":"15","author":"LD Cohen","year":"1993","unstructured":"Cohen, L. D., & Cohen, I. (1993). Finite-element methods for active contour models and balloons for 2-D and 3-D images. IEEE Transactions on Pattern Analysis and Machine Intelligence, 15(11), 1131\u20131147.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"1","key":"1881_CR41","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1023\/A:1007922224810","volume":"24","author":"LD Cohen","year":"1997","unstructured":"Cohen, L. D., & Kimmel, R. (1997). Global minimum for active contour models: A minimal path approach. International Journal of Computer Vision, 24(1), 57\u201378.","journal-title":"International Journal of Computer Vision"},{"issue":"3","key":"1881_CR42","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1023\/A:1020826424915","volume":"50","author":"D Cremers","year":"2002","unstructured":"Cremers, D., Tischh\u00e4user, F., Weickert, J., & Schn\u00f6rr, C. (2002). Diffusion snakes: Introducing statistical shape knowledge into the Mumford-Shah functional. International Journal of Computer Vision, 50(3), 295\u2013313.","journal-title":"International Journal of Computer Vision"},{"issue":"2","key":"1881_CR43","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1007\/s11263-006-8711-1","volume":"72","author":"D Cremers","year":"2007","unstructured":"Cremers, D., Rousson, M., & Deriche, R. (2007). A review of statistical approaches to level set segmentation: integrating color, texture, motion and shape. International Journal of Computer Vision, 72(2), 195\u2013215.","journal-title":"International Journal of Computer Vision"},{"key":"1881_CR44","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-51440-1","volume-title":"Direct methods in the calculus of variations, applied mathematical sciences","author":"B Dacorogna","year":"1989","unstructured":"Dacorogna, B. (1989). Direct methods in the calculus of variations, applied mathematical sciences (Vol. 78). Springer Science & Business Media. https:\/\/doi.org\/10.1007\/978-3-642-51440-1"},{"issue":"4","key":"1881_CR45","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1016\/S1361-8415(01)00046-9","volume":"5","author":"T Deschamps","year":"2001","unstructured":"Deschamps, T., & Cohen, L. D. (2001). Fast extraction of minimal paths in 3D images and applications to virtual endoscopy. Medical Image Analysis, 5(4), 281\u2013299.","journal-title":"Medical Image Analysis"},{"key":"1881_CR46","doi-asserted-by":"publisher","first-page":"238","DOI":"10.1007\/s10851-012-0380-9","volume":"46","author":"X Desquesnes","year":"2013","unstructured":"Desquesnes, X., Elmoataz, A., & L\u00e9zoray, O. (2013). Eikonal equation adaptation on weighted graphs: Fast geometric diffusion process for local and non-local image and data processing. Journal of Mathematical Imaging and Vision, 46, 238\u2013257.","journal-title":"Journal of Mathematical Imaging and Vision"},{"issue":"1","key":"1881_CR47","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1007\/BF01386390","volume":"1","author":"EW Dijkstra","year":"1959","unstructured":"Dijkstra, E. W. (1959). A note on two problems in connexion with graphs. Numerische Mathematik, 1(1), 269\u2013271.","journal-title":"Numerische Mathematik"},{"issue":"6","key":"1881_CR48","first-page":"3028","volume":"30","author":"G Do\u011fan","year":"2008","unstructured":"Do\u011fan, G., Morin, P., & Nochetto, R. H. (2008). A variational shape optimization approach for image segmentation with a Mumford-Shah functional. SIAM Journal on Imaging Sciences, 30(6), 3028\u20133049.","journal-title":"SIAM Journal on Imaging Sciences"},{"issue":"11","key":"1881_CR49","doi-asserted-by":"publisher","first-page":"3927","DOI":"10.1109\/TIP.2015.2451957","volume":"24","author":"Y Duan","year":"2015","unstructured":"Duan, Y., Chang, H., Huang, W., Zhou, J., Lu, Z., & Wu, C. (2015). The $$ L_ {0}$$ regularized Mumford-Shah model for bias correction and segmentation of medical images. IEEE Transactions on Image Processing, 24(11), 3927\u20133938.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"8","key":"1881_CR50","doi-asserted-by":"publisher","first-page":"1585","DOI":"10.1109\/TPAMI.2014.2385708","volume":"37","author":"A Dubrovina-Karni","year":"2015","unstructured":"Dubrovina-Karni, A., Rosman, G., & Kimmel, R. (2015). Multi-region active contours with a single level set function. IEEE Transactions on Pattern Analysis and Machine Intelligence, 37(8), 1585\u20131601.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"6","key":"1881_CR51","doi-asserted-by":"publisher","first-page":"816","DOI":"10.1007\/s10851-018-0795-z","volume":"60","author":"R Duits","year":"2018","unstructured":"Duits, R., Meesters, S. P., Mirebeau, J. M., & Portegies, J. M. (2018). Optimal paths for variants of the 2D and 3D Reeds-Shepp car with applications in image analysis. Journal of Mathematical Imaging and Vision, 60(6), 816\u2013848.","journal-title":"Journal of Mathematical Imaging and Vision"},{"issue":"1","key":"1881_CR52","doi-asserted-by":"publisher","first-page":"112","DOI":"10.1007\/s11263-010-0406-y","volume":"92","author":"Bae J Eand","year":"2011","unstructured":"Eand, Bae J., & Yuan, Tai XC. (2011). Global minimization for continuous multiphase partitioning problems using a dual approach. International Journal of Computer Vision, 92(1), 112\u2013129.","journal-title":"International Journal of Computer Vision"},{"issue":"1","key":"1881_CR53","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/1322432.1322434","volume":"40","author":"R Fabbri","year":"2008","unstructured":"Fabbri, R., Costa, L., Torelli, J., & Bruno, O. (2008). 2d euclidean distance transform algorithms: A comparative survey. ACM Computing Surveys (CSUR), 40(1), 1\u201344.","journal-title":"ACM Computing Surveys (CSUR)"},{"issue":"1","key":"1881_CR54","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1109\/42.832960","volume":"19","author":"AX Falc\u00e3o","year":"2000","unstructured":"Falc\u00e3o, A. X., Udupa, J. K., & Miyazawa, F. K. (2000). An ultra-fast user-steered image segmentation paradigm: live wire on the fly. IEEE Transactions on Medical Imaging, 19(1), 55\u201362.","journal-title":"IEEE Transactions on Medical Imaging"},{"issue":"1","key":"1881_CR55","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1109\/TPAMI.2004.1261076","volume":"26","author":"AX Falcao","year":"2004","unstructured":"Falcao, A. X., Stolfi, J., & de Alencar, Lotufo R. (2004). The image foresting transform: Theory, algorithms, and applications. IEEE Transactions on Pattern Analysis and Machine Intelligence, 26(1), 19\u201329.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"1881_CR56","volume-title":"Introduction to the theory of distributions","author":"FG Friedlander","year":"1998","unstructured":"Friedlander, F. G., Joshi, M. S., Joshi, M., & Joshi, M. C. (1998). Introduction to the theory of distributions. Cambridge University Press."},{"key":"1881_CR57","doi-asserted-by":"crossref","unstructured":"Garc\u00eda-Cuerva, J., & Gatto, A. E. (2005). Lipschitz spaces and Calder\u00f3n-Zygmund operators associated to non-doubling measures. Publicacions matematiques, pp. 285\u2013296.","DOI":"10.5565\/PUBLMAT_49205_02"},{"issue":"10","key":"1881_CR58","doi-asserted-by":"publisher","first-page":"1467","DOI":"10.1109\/83.951533","volume":"10","author":"R Goldenberg","year":"2001","unstructured":"Goldenberg, R., Kimmel, R., Rivlin, E., & Rudzsky, M. (2001). Fast geodesic active contours. IEEE Transactions on Image Processing, 10(10), 1467\u20131475.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"11","key":"1881_CR59","doi-asserted-by":"publisher","first-page":"2547","DOI":"10.1109\/TIP.2009.2028258","volume":"18","author":"L Grady","year":"2009","unstructured":"Grady, L., & Alvino, C. V. (2009). The piecewise smooth Mumford-Shah functional on an arbitrary graph. IEEE Transactions on Image Processing, 18(11), 2547\u20132561.","journal-title":"IEEE Transactions on Image Processing"},{"key":"1881_CR60","first-page":"445","volume":"2","author":"N Houhou","year":"2009","unstructured":"Houhou, N., Thiran, J. P., & Bresson, X. (2009). Fast texture segmentation based on semi-local region descriptor and active contour. Numerical Mathematics: Theory, Methods and Applications, 2, 445\u2013468.","journal-title":"Numerical Mathematics: Theory, Methods and Applications"},{"issue":"8","key":"1881_CR61","doi-asserted-by":"publisher","first-page":"1007","DOI":"10.1109\/TPAMI.2004.44","volume":"26","author":"M Jacob","year":"2004","unstructured":"Jacob, M., & Unser, M. (2004). Design of steerable filters for feature detection using canny-like criteria. IEEE Transactions on Pattern Analysis and Machine Intelligence, 26(8), 1007\u20131019.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"10","key":"1881_CR62","doi-asserted-by":"publisher","first-page":"1320","DOI":"10.1109\/TPAMI.2004.84","volume":"26","author":"AC Jalba","year":"2004","unstructured":"Jalba, A. C., Wilkinson, M. H., & Roerdink, J. B. (2004). CPM: A deformable model for shape recovery and segmentation based on charged particles. IEEE Transactions on Pattern Analysis and Machine Intelligence, 26(10), 1320\u20131335.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"3","key":"1881_CR63","doi-asserted-by":"publisher","first-page":"1229","DOI":"10.1007\/s10915-016-0280-z","volume":"70","author":"M Jung","year":"2017","unstructured":"Jung, M. (2017). Piecewise-smooth image segmentation models with $$L^1$$ data-fidelity terms. Journal of Scientific Computing, 70(3), 1229\u20131261.","journal-title":"Journal of Scientific Computing"},{"issue":"3","key":"1881_CR64","doi-asserted-by":"publisher","first-page":"1022","DOI":"10.1137\/11085863X","volume":"5","author":"M Jung","year":"2012","unstructured":"Jung, M., Peyr\u00e9, G., & Cohen, L. D. (2012). Nonlocal active contours. SIAM Journal on Imaging Sciences, 5(3), 1022\u20131054.","journal-title":"SIAM Journal on Imaging Sciences"},{"issue":"4","key":"1881_CR65","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1007\/BF00133570","volume":"1","author":"M Kass","year":"1988","unstructured":"Kass, M., Witkin, A., & Terzopoulos, D. (1988). Snakes: Active contour models. International Journal of Computer Vision, 1(4), 321\u2013331.","journal-title":"International Journal of Computer Vision"},{"key":"1881_CR66","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1007\/0-387-21810-6_4","volume-title":"Geometric level set methods in imaging, vision, and graphics","author":"R Kimmel","year":"2003","unstructured":"Kimmel, R. (2003). Fast edge integration. Geometric level set methods in imaging, vision, and graphics (pp. 59\u201377). Springer."},{"issue":"3","key":"1881_CR67","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1023\/A:1023030907417","volume":"53","author":"R Kimmel","year":"2003","unstructured":"Kimmel, R., & Bruckstein, A. M. (2003). Regularized laplacian zero crossings as optimal edge integrators. International Journal of Computer Vision, 53(3), 225\u2013243.","journal-title":"International Journal of Computer Vision"},{"issue":"8","key":"1881_CR68","doi-asserted-by":"publisher","first-page":"2096","DOI":"10.1109\/TIP.2007.899601","volume":"16","author":"B Li","year":"2007","unstructured":"Li, B., & Acton, S. T. (2007). Active contour external force using vector field convolution for image segmentation. IEEE Transactions on Image Processing, 16(8), 2096\u20132106.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"10","key":"1881_CR69","doi-asserted-by":"publisher","first-page":"1940","DOI":"10.1109\/TIP.2008.2002304","volume":"17","author":"C Li","year":"2008","unstructured":"Li, C., Kao, C., Gore, J. C., & Ding, Z. (2008). Minimization of region-scalable fitting energy for image segmentation. IEEE Transactions on Image Processing, 17(10), 1940\u20131949.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"7","key":"1881_CR70","doi-asserted-by":"publisher","first-page":"2750","DOI":"10.1137\/090753887","volume":"70","author":"F Li","year":"2010","unstructured":"Li, F., Ng, M. K., & Li, C. (2010). Variational fuzzy Mumford-Shah model for image segmentation. SIAM Journal on Applied Mathematics, 70(7), 2750\u20132770.","journal-title":"SIAM Journal on Applied Mathematics"},{"issue":"1\u20132","key":"1881_CR71","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1016\/S0898-1221(01)00278-4","volume":"43","author":"TT Lu","year":"2002","unstructured":"Lu, T. T., & Shiou, S. H. (2002). Inverses of $$2\\times 2$$ block matrices. Computers & Mathematics with Applications, 43(1\u20132), 119\u2013129.","journal-title":"Computers & Mathematics with Applications"},{"key":"1881_CR72","doi-asserted-by":"crossref","unstructured":"Luo, S., Tai, X. C., & Glowinski, R. (2022). Convex object(s) characterization and segmentation using level set function. Journal of Mathematical Imaging and Vision 1\u201321.","DOI":"10.1007\/s10851-021-01056-w"},{"key":"1881_CR73","unstructured":"Ma, J., Wang, D., Wang, X. P., & Yang, X. (2021). A fast algorithm for geodesic active contours with applications to medical image segmentation. SIAM Journal on Imaging Sciences."},{"issue":"3","key":"1881_CR74","doi-asserted-by":"publisher","first-page":"412","DOI":"10.1109\/TPAMI.2007.70713","volume":"30","author":"J Melonakos","year":"2008","unstructured":"Melonakos, J., Pichon, E., Angenent, S., & Tannenbaum, A. (2008). Finsler active contours. IEEE Transactions on Pattern Analysis and Machine Intelligence, 30(3), 412\u2013423.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"11","key":"1881_CR75","doi-asserted-by":"publisher","first-page":"2787","DOI":"10.1109\/TIP.2007.908073","volume":"16","author":"O Michailovich","year":"2007","unstructured":"Michailovich, O., Rathi, Y., & Tannenbaum, A. (2007). Image segmentation using active contours driven by the Bhattacharyya gradient flow. IEEE Transactions on Image Processing, 16(11), 2787\u20132801.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"1","key":"1881_CR76","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11263-014-0751-3","volume":"112","author":"J Mille","year":"2015","unstructured":"Mille, J., Bougleux, S., & Cohen, L. D. (2015). Combination of piecewise-geodesic paths for interactive segmentation. International Journal of Computer Vision, 112(1), 1\u201322.","journal-title":"International Journal of Computer Vision"},{"issue":"6","key":"1881_CR77","doi-asserted-by":"publisher","first-page":"3042","DOI":"10.1109\/TIP.2012.2188034","volume":"21","author":"PA Miranda","year":"2012","unstructured":"Miranda, P. A., Falcao, A. X., & Spina, T. V. (2012). Riverbed: A novel user-steered image segmentation method based on optimum boundary tracking. IEEE Transactions on Image Processing, 21(6), 3042\u20133052.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"4","key":"1881_CR78","doi-asserted-by":"publisher","first-page":"1573","DOI":"10.1137\/120861667","volume":"52","author":"JM Mirebeau","year":"2014","unstructured":"Mirebeau, J. M. (2014). Anisotropic fast-marching on cartesian grids using lattice basis reduction. SIAM Journal on Numerical Analysis, 52(4), 1573\u20131599.","journal-title":"SIAM Journal on Numerical Analysis"},{"issue":"3","key":"1881_CR79","doi-asserted-by":"publisher","first-page":"515","DOI":"10.1007\/s00211-013-0571-3","volume":"126","author":"JM Mirebeau","year":"2014","unstructured":"Mirebeau, J. M. (2014). Efficient fast marching with Finsler metrics. Numerische Mathematik, 126(3), 515\u2013557.","journal-title":"Numerische Mathematik"},{"issue":"6","key":"1881_CR80","doi-asserted-by":"publisher","first-page":"784","DOI":"10.1007\/s10851-017-0778-5","volume":"60","author":"JM Mirebeau","year":"2018","unstructured":"Mirebeau, J. M. (2018). Fast-marching methods for curvature penalized shortest paths. Journal of Mathematical Imaging and Vision, 60(6), 784\u2013815.","journal-title":"Journal of Mathematical Imaging and Vision"},{"issue":"6","key":"1881_CR81","doi-asserted-by":"publisher","first-page":"2608","DOI":"10.1137\/17M1127466","volume":"57","author":"JM Mirebeau","year":"2019","unstructured":"Mirebeau, J. M. (2019). Riemannian fast-marching on Cartesian grids, using Voronoi\u2019s first reduction of quadraticforms. SIAM Journal on Numerical Analysis, 57(6), 2608\u20132655.","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"1881_CR82","unstructured":"Mirebeau, J. M., & Desquilbet, F. (2019). Worst case and average case cardinality of strictly acute stencils for two dimensional anisotropic fast marching. In Constructive Theory of Functions."},{"issue":"2","key":"1881_CR83","doi-asserted-by":"publisher","first-page":"310","DOI":"10.1109\/TPAMI.2010.83","volume":"33","author":"AK Mishra","year":"2011","unstructured":"Mishra, A. K., Fieguth, P. W., & Clausi, D. A. (2011). Decoupled active contour (DAC) for boundary detection. IEEE Transactions on Pattern Analysis and Machine Intelligence, 33(2), 310\u2013324.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"1881_CR84","volume-title":"Variational methods in image segmentation: With seven image processing experiments","author":"JM Morel","year":"2012","unstructured":"Morel, J. M., & Solimini, S. (2012). Variational methods in image segmentation: With seven image processing experiments (Vol. 14). Springer Science & Business Media."},{"issue":"5","key":"1881_CR85","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1002\/cpa.3160420503","volume":"42","author":"D Mumford","year":"1989","unstructured":"Mumford, D., & Shah, J. (1989). Optimal approximations by piecewise smooth functions and associated variational problems. Communications on Pure and Applied Mathematics, 42(5), 577\u2013685.","journal-title":"Communications on Pure and Applied Mathematics"},{"issue":"1","key":"1881_CR86","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1007\/s11263-009-0234-0","volume":"84","author":"K Ni","year":"2009","unstructured":"Ni, K., Bresson, X., Chan, T., & Esedoglu, S. (2009). Local histogram based segmentation using the Wasserstein distance. International Journal of Computer Vision, 84(1), 97\u2013111.","journal-title":"International Journal of Computer Vision"},{"issue":"1","key":"1881_CR87","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/0021-9991(88)90002-2","volume":"79","author":"S Osher","year":"1988","unstructured":"Osher, S., & Sethian, J. A. (1988). Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics, 79(1), 12\u201349.","journal-title":"Journal of Computational Physics"},{"issue":"1","key":"1881_CR88","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1006\/jvci.2001.0475","volume":"13","author":"N Paragios","year":"2002","unstructured":"Paragios, N., & Deriche, R. (2002). Geodesic active regions: A new framework to deal with frame partition problems in computer vision. Journal of Visual Communication and Image Representation, 13(1), 249\u2013268.","journal-title":"Journal of Visual Communication and Image Representation"},{"issue":"3\u20134","key":"1881_CR89","first-page":"197","volume":"5","author":"G Peyr\u00e9","year":"2010","unstructured":"Peyr\u00e9, G., P\u00e9chaud, M., Keriven, R., & Cohen, L. D. (2010). Geodesic methods in computer vision and graphics. Foundations and Trends\u00ae in Computer Graphics and Vision, 5(3\u20134), 197\u2013397.","journal-title":"Foundations and Trends\u00ae in Computer Graphics and Vision"},{"key":"1881_CR90","doi-asserted-by":"crossref","unstructured":"Prevost, R., Cuingnet, R., Mory, L.D., Band\u00a0Cohen, & Ardon, R. (2014). Tagged template deformation. In Proceedings of the MICCAI (pp. 674\u2013681). Springer.","DOI":"10.1007\/978-3-319-10404-1_84"},{"issue":"2","key":"1881_CR91","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1103\/PhysRev.59.195","volume":"59","author":"G Randers","year":"1941","unstructured":"Randers, G. (1941). On an asymmetrical metric in the four-space of general relativity. Physical Review, 59(2), 195.","journal-title":"Physical Review"},{"issue":"3","key":"1881_CR92","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1145\/1015706.1015720","volume":"23","author":"C Rother","year":"2004","unstructured":"Rother, C., Kolmogorov, V., & Blake, A. (2004). Grabcut: Interactive foreground extraction using iterated graph cuts. ACM Transactions on Graphics, 23(3), 309\u2013314.","journal-title":"ACM Transactions on Graphics"},{"issue":"2","key":"1881_CR93","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1137\/S0036144598347059","volume":"41","author":"JA Sethian","year":"1999","unstructured":"Sethian, J. A. (1999). Fast marching methods. SIAM Review, 41(2), 199\u2013235.","journal-title":"SIAM Review"},{"issue":"1","key":"1881_CR94","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1137\/S0036142901392742","volume":"41","author":"JA Sethian","year":"2003","unstructured":"Sethian, J. A., & Vladimirsky, A. (2003). Ordered upwind methods for static Hamilton-Jacobi equations: Theory and algorithms. SIAM Journal on Numerical Analysis, 41(1), 325\u2013363.","journal-title":"SIAM Journal on Numerical Analysis"},{"key":"1881_CR95","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1016\/j.mri.2021.02.003","volume":"78","author":"X Shi","year":"2021","unstructured":"Shi, X., & Li, C. (2021). Convexity preserving level set for left ventricle segmentation. Magnetic Resonance Imaging, 78, 109\u2013118.","journal-title":"Magnetic Resonance Imaging"},{"issue":"4","key":"1881_CR96","doi-asserted-by":"publisher","first-page":"2105","DOI":"10.1137\/19M129718X","volume":"13","author":"CY Siu","year":"2020","unstructured":"Siu, C. Y., Chan, H. L., & Ming Lui, R. L. (2020). Image segmentation with partial convexity shape prior using discrete conformality structures. SIAM Journal on Imaging Sciences, 13(4), 2105\u20132139.","journal-title":"SIAM Journal on Imaging Sciences"},{"issue":"3","key":"1881_CR97","doi-asserted-by":"publisher","first-page":"310","DOI":"10.1109\/83.661181","volume":"7","author":"N Sochen","year":"1998","unstructured":"Sochen, N., Kimmel, R., & Malladi, R. (1998). A general framework for low level vision. IEEE Transactions on Image Processing, 7(3), 310\u2013318.","journal-title":"IEEE Transactions on Image Processing"},{"key":"1881_CR98","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-58106-9","volume-title":"Introduction to shape optimization","author":"J Sokolowski","year":"1992","unstructured":"Sokolowski, J., Zol\u00e9sio, J. P., Sokolowski, J., & Zolesio, J. P. (1992). Introduction to shape optimization. Springer."},{"issue":"4","key":"1881_CR99","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1109\/TPAMI.2006.76","volume":"28","author":"B Sumengen","year":"2006","unstructured":"Sumengen, B., & Manjunath, B. (2006). Graph partitioning active contours (GPAC) for image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 28(4), 509\u2013521.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"3","key":"1881_CR100","doi-asserted-by":"publisher","first-page":"345","DOI":"10.1007\/s11263-006-0635-2","volume":"73","author":"G Sundaramoorthi","year":"2007","unstructured":"Sundaramoorthi, G., Yezzi, A., & Mennucci, A. C. (2007). Sobolev active contours. International Journal of Computer Vision, 73(3), 345\u2013366.","journal-title":"International Journal of Computer Vision"},{"issue":"2","key":"1881_CR101","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1007\/s11263-008-0133-9","volume":"84","author":"G Sundaramoorthi","year":"2009","unstructured":"Sundaramoorthi, G., Yezzi, A., Mennucci, A. C., & Sapiro, G. (2009). New possibilities with Sobolev active contours. International Journal of Computer Vision, 84(2), 113\u2013129.","journal-title":"International Journal of Computer Vision"},{"key":"1881_CR102","first-page":"123","volume":"3","author":"C Th\u00e4le","year":"2008","unstructured":"Th\u00e4le, C. (2008). 50 years sets with positive reach-a survey. Surveys in Mathematics and its Applications, 3, 123\u2013165.","journal-title":"Surveys in Mathematics and its Applications"},{"issue":"8","key":"1881_CR103","doi-asserted-by":"publisher","first-page":"1169","DOI":"10.1109\/83.935033","volume":"10","author":"A Tsai","year":"2001","unstructured":"Tsai, A., Yezzi, A., & Willsky, A. S. (2001). Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification. IEEE Transactions on Image Processing, 10(8), 1169\u20131186.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"9","key":"1881_CR104","doi-asserted-by":"publisher","first-page":"1528","DOI":"10.1109\/9.412624","volume":"40","author":"JN Tsitsiklis","year":"1995","unstructured":"Tsitsiklis, J. N. (1995). Efficient algorithms for globally optimal trajectories. IEEE Transactions on Automatic Control, 40(9), 1528\u20131538.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"1881_CR105","doi-asserted-by":"crossref","unstructured":"Vese, L. A., & Chan, T. F. (2002). A multiphase level set framework for image segmentation using the Mumford and Shah model. International Journal of Computer Vision, 50(3), 271\u2013293.","DOI":"10.1023\/A:1020874308076"},{"key":"1881_CR106","doi-asserted-by":"crossref","unstructured":"Windheuser, T., Schoenemann, T., & Cremers, D. (2009). Beyond connecting the dots: A polynomial-time algorithm for segmentation and boundary estimation with imprecise user input. In Proceedings of the ICCV (pp. 717\u2013722). IEEE.","DOI":"10.1109\/ICCV.2009.5459281"},{"issue":"4","key":"1881_CR107","doi-asserted-by":"publisher","first-page":"632","DOI":"10.1109\/TPAMI.2007.70737","volume":"30","author":"X Xie","year":"2008","unstructured":"Xie, X., & Mirmehdi, M. (2008). MAC: Magnetostatic active contour model. IEEE Transactions on Pattern Analysis and Machine Intelligence, 30(4), 632\u2013646.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"3","key":"1881_CR108","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1109\/83.661186","volume":"7","author":"C Xu","year":"1998","unstructured":"Xu, C., & Prince, J. L. (1998). Snakes, shapes, and gradient vector flow. IEEE Transactions on Image Processing, 7(3), 359\u2013369.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"5","key":"1881_CR109","doi-asserted-by":"publisher","first-page":"1053","DOI":"10.1109\/TPAMI.2014.2360380","volume":"37","author":"Y Yang","year":"2015","unstructured":"Yang, Y., & Sundaramoorthi, G. (2015). Shape tracking with occlusions via coarse-to-fine region-based sobolev descent. IEEE Transactions on Pattern Analysis and Machine Intelligence, 37(5), 1053\u20131066. https:\/\/doi.org\/10.1109\/TPAMI.2014.2360380","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"2","key":"1881_CR110","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1109\/42.563665","volume":"16","author":"A Yezzi","year":"1997","unstructured":"Yezzi, A., Kichenassamy, S., Kumar, A., Olver, P., & Tannenbaum, A. (1997). A geometric snake model for segmentation of medical imagery. IEEE Transactions on Medical Imaging, 16(2), 199\u2013209.","journal-title":"IEEE Transactions on Medical Imaging"},{"key":"1881_CR111","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-58496-5_6","volume-title":"Shapes and diffeomorphisms, applied mathematical sciences","author":"L Younes","year":"2019","unstructured":"Younes, L. (2019). Shapes and diffeomorphisms, applied mathematical sciences (Vol. 171). Springer. https:\/\/doi.org\/10.1007\/978-3-662-58496-5_6"},{"key":"1881_CR112","doi-asserted-by":"publisher","first-page":"559","DOI":"10.1007\/s00211-013-0569-x","volume":"126","author":"J Yuan","year":"2014","unstructured":"Yuan, J., Bae, E., Tai, X. C., & Boykov, Y. (2014). A spatially continuous max-flow and min-cut framework for binary labeling problems. Numerische Mathematik, 126, 559\u2013587.","journal-title":"Numerische Mathematik"},{"key":"1881_CR113","doi-asserted-by":"crossref","unstructured":"Zach, C., Shan, L., & Niethammer, M. (2009). Globally optimal Finsler active contours. In Proceedings of joint pattern recognition symposium (pp. 552\u2013561). Springer.","DOI":"10.1007\/978-3-642-03798-6_56"},{"issue":"3","key":"1881_CR114","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1007\/s10915-021-01433-y","volume":"87","author":"D Zhang","year":"2021","unstructured":"Zhang, D., & Lui, L. M. (2021). Topology-preserving 3D image segmentation based on hyperelastic regularization. Journal of Scientific Computing, 87(3), 74.","journal-title":"Journal of Scientific Computing"},{"key":"1881_CR115","doi-asserted-by":"publisher","first-page":"218","DOI":"10.1016\/j.apm.2021.08.017","volume":"100","author":"D Zhang","year":"2021","unstructured":"Zhang, D., Tai, X. C., & Lui, L. M. (2021). Topology- and convexity-preserving image segmentation based on image registration. Applied Mathematical Modelling, 100, 218\u2013239.","journal-title":"Applied Mathematical Modelling"},{"key":"1881_CR116","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1109\/TIP.2019.2928134","volume":"29","author":"W Zhang","year":"2019","unstructured":"Zhang, W., Wang, X., You, W., Chen, J., Dai, P., & Zhang, P. (2019). RESLS: Region and edge synergetic level set framework for image segmentation. IEEE Transactions on Image Processing, 29, 57\u201371.","journal-title":"IEEE Transactions on Image Processing"},{"issue":"9","key":"1881_CR117","doi-asserted-by":"publisher","first-page":"884","DOI":"10.1109\/34.537343","volume":"18","author":"S Zhu","year":"1996","unstructured":"Zhu, S., & Yuille, A. (1996). Region competition: Unifying snakes, region growing, and Bayes\/MDL for multiband image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 18(9), 884\u2013900.","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"}],"container-title":["International Journal of Computer Vision"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-023-01881-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11263-023-01881-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11263-023-01881-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T09:08:39Z","timestamp":1706605719000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11263-023-01881-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,9,5]]},"references-count":117,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2024,2]]}},"alternative-id":["1881"],"URL":"https:\/\/doi.org\/10.1007\/s11263-023-01881-z","relation":{},"ISSN":["0920-5691","1573-1405"],"issn-type":[{"value":"0920-5691","type":"print"},{"value":"1573-1405","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,9,5]]},"assertion":[{"value":"17 December 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 August 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 September 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}