{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T00:51:53Z","timestamp":1740099113398,"version":"3.37.3"},"publisher-location":"Cham","reference-count":24,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319929996"},{"type":"electronic","value":"9783319930008"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-93000-8_10","type":"book-chapter","created":{"date-parts":[[2018,6,5]],"date-time":"2018-06-05T01:50:47Z","timestamp":1528163447000},"page":"81-89","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["DTI Segmentation Using Anisotropy Preserving Quaternion Based Distance Measure"],"prefix":"10.1007","author":[{"given":"Sumit","family":"Kaushik","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jan","family":"Slovak","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,6,6]]},"reference":[{"key":"10_CR1","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1002\/cpa.3160420503","volume":"42","author":"D Mumford","year":"1989","unstructured":"Mumford, D., Shah, J.: Optimal approximation by piecewise smooth functions and associated variational problems. Commun. Pure Appl. Math. 42, 577\u2013685 (1989)","journal-title":"Commun. Pure Appl. Math."},{"key":"10_CR2","volume-title":"Level Set Methods and Fast Marching Methods","author":"J Sethian","year":"1999","unstructured":"Sethian, J.: Level Set Methods and Fast Marching Methods. Springer, New York (1999)"},{"issue":"2","key":"10_CR3","doi-asserted-by":"publisher","first-page":"266","DOI":"10.1109\/83.902291","volume":"10","author":"T Chan","year":"2001","unstructured":"Chan, T., Vese, L.: Active contours without edges. IEEE Trans. Image Process. 10(2), 266\u2013277 (2001)","journal-title":"IEEE Trans. Image Process."},{"key":"10_CR4","doi-asserted-by":"crossref","unstructured":"Yezzi, A., Tsai, A., Willsky, A.: A statistical approach to snakes for bimodal and trimodal imagery. In: Proceedings of the International Conference on Computer Vision, vol. 2, pp. 898\u2013903 (1999)","DOI":"10.1109\/ICCV.1999.790317"},{"key":"10_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1007\/978-3-540-72823-8_18","volume-title":"Scale Space and Variational Methods in Computer Vision","author":"T Brox","year":"2007","unstructured":"Brox, T., Cremers, D.: On the statistical interpretation of the piecewise smooth Mumford-Shah functional. In: Sgallari, F., Murli, A., Paragios, N. (eds.) SSVM 2007. LNCS, vol. 4485, pp. 203\u2013213. Springer, Heidelberg (2007). \nhttps:\/\/doi.org\/10.1007\/978-3-540-72823-8_18"},{"key":"10_CR6","doi-asserted-by":"crossref","unstructured":"Li, C., Kao, C.-Y., Gore, J.C., Ding, Z.: Implicit active contours driven by local binary fitting energy. Presented at the computer vision and pattern recognition, June 2007","DOI":"10.1109\/CVPR.2007.383014"},{"key":"10_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"709","DOI":"10.1007\/978-3-540-72823-8_61","volume-title":"Scale Space and Variational Methods in Computer Vision","author":"J Piovano","year":"2007","unstructured":"Piovano, J., Rousson, M., Papadopoulo, T.: Efficient segmentation of piecewise smooth images. In: Sgallari, F., Murli, A., Paragios, N. (eds.) SSVM 2007. LNCS, vol. 4485, pp. 709\u2013720. Springer, Heidelberg (2007). \nhttps:\/\/doi.org\/10.1007\/978-3-540-72823-8_61"},{"key":"10_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"495","DOI":"10.1007\/978-3-540-75759-7_60","volume-title":"Medical Image Computing and Computer-Assisted Intervention \u2013 MICCAI 2007","author":"J An","year":"2007","unstructured":"An, J., Rousson, M., Xu, C.: $$\\Gamma $$\u0393-convergence approximation to piecewise smooth medical image segmentation. In: Ayache, N., Ourselin, S., Maeder, A. (eds.) MICCAI 2007. LNCS, vol. 4792, pp. 495\u2013502. Springer, Heidelberg (2007). \nhttps:\/\/doi.org\/10.1007\/978-3-540-75759-7_60"},{"key":"10_CR9","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1007\/BF00133570","volume":"1","author":"M Kass","year":"1987","unstructured":"Kass, M., Witkin, A., Terzopoulos, D.: Snakes: active contour models. Int. J. Comput. Vis. 1, 321\u2013331 (1987)","journal-title":"Int. J. Comput. Vis."},{"key":"10_CR10","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.: Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79, 12\u201349 (1988)","journal-title":"J. Comput. Phys."},{"issue":"11","key":"10_CR11","doi-asserted-by":"publisher","first-page":"2029","DOI":"10.1109\/TIP.2008.2004611","volume":"17","author":"S Lankton","year":"2008","unstructured":"Lankton, S., Tannenbaum, A.: Localizing region-based active contours. IEEE Trans. Image Process. 17(11), 2029\u20132039 (2008)","journal-title":"IEEE Trans. Image Process."},{"key":"10_CR12","doi-asserted-by":"crossref","unstructured":"Lankton, S., Melonakos, J., Malcolm, J., Dambreville, S., Tannenbaum, A.: Localized statistics for DW-MRI fiber bundle segmentation. In: Proceedings of 21st CVPR Workshops, pp. 1\u20138 (2008)","DOI":"10.1109\/CVPRW.2008.4562999"},{"issue":"3","key":"10_CR13","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1006\/jmrb.1994.1037","volume":"103","author":"PJ Basser","year":"1994","unstructured":"Basser, P.J., Mattiello, J., LeBihan, D.: Estimation of the effective self-diffusion tensor from the NMR spin-echo. J. Magn. Reson., Ser. B 103(3), 247\u2013254 (1994)","journal-title":"J. Magn. Reson., Ser. B"},{"issue":"1","key":"10_CR14","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.: Geodesic active contours Int. J. Comput. Vision 22(1), 61\u201379 (1997)","journal-title":"J. Comput. Vision"},{"issue":"2","key":"10_CR15","doi-asserted-by":"publisher","first-page":"158","DOI":"10.1109\/34.368173","volume":"17","author":"R Malladi","year":"1995","unstructured":"Malladi, R., Sethian, J.A., Vemuri, B.C.: Shape modeling with front propagation: a level set approach. IEEE Trans. Pattern Anal. Mach. Intell. 17(2), 158\u2013175 (1995)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"1","key":"10_CR16","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1007\/s11263-005-3222-z","volume":"66","author":"X Pennec","year":"2006","unstructured":"Pennec, X., Fillard, P., Ayache, N.: A Riemann framework for tensor computing. Int. J. Comput. Vis. 66(1), 41\u201366 (2006)","journal-title":"Int. J. Comput. Vis."},{"key":"10_CR17","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1016\/S0024-3795(03)00647-5","volume":"375","author":"R Bhatia","year":"2003","unstructured":"Bhatia, R.: On the exponential metric increasing property. Linear Algebra Appl. 375, 211\u2013220 (2003)","journal-title":"Linear Algebra Appl."},{"key":"10_CR18","first-page":"211","volume":"11","author":"L Skovgaard","year":"1984","unstructured":"Skovgaard, L.: A Riemann geometry of the multivariate normal model. Scand. J. Stat. 11, 211\u2013223 (1984)","journal-title":"Scand. J. Stat."},{"key":"10_CR19","doi-asserted-by":"crossref","unstructured":"Tschumperle, D., Deriche, R.: Diffusion tensor regularization with constraints preservation. In: Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 2001, vol. 1, pp. 948\u2013953 (2001)","DOI":"10.1109\/CVPR.2001.990631"},{"key":"10_CR20","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"591","DOI":"10.1007\/11505730_49","volume-title":"Information Processing in Medical Imaging","author":"C Lenglet","year":"2005","unstructured":"Lenglet, C., Rousson, M., Deriche, R., Faugeras, O., Lehericy, S., Ugurbil, K.: A Riemannian approach to diffusion tensor images segmentation. In: Christensen, G.E., Sonka, M. (eds.) IPMI 2005. LNCS, vol. 3565, pp. 591\u2013602. Springer, Heidelberg (2005). \nhttps:\/\/doi.org\/10.1007\/11505730_49"},{"key":"10_CR21","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"924","DOI":"10.1007\/11866565_113","volume-title":"Medical Image Computing and Computer-Assisted Intervention \u2013 MICCAI 2006","author":"V Arsigny","year":"2006","unstructured":"Arsigny, V., Commowick, O., Pennec, X., Ayache, N.: A Log-Euclidean framework for statistics on diffeomorphisms. In: Larsen, R., Nielsen, M., Sporring, J. (eds.) MICCAI 2006. LNCS, vol. 4190, pp. 924\u2013931. Springer, Heidelberg (2006). \nhttps:\/\/doi.org\/10.1007\/11866565_113"},{"issue":"1","key":"10_CR22","doi-asserted-by":"publisher","first-page":"58","DOI":"10.1007\/s11263-013-0674-4","volume":"107","author":"A Collard","year":"2014","unstructured":"Collard, A., Bonnabel, S., Phillips, C., Sepulchre, R.: An anisotropy preserving metric for DTI processing. Int. J. Comput. Vis. Arch. 107(1), 58\u201374 (2014)","journal-title":"Int. J. Comput. Vis. Arch."},{"issue":"2","key":"10_CR23","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1007\/s10851-009-0161-2","volume":"35","author":"DQ Huynh","year":"2009","unstructured":"Huynh, D.Q.: Metrics for 3D rotations: comparison and analysis. J. Math. Imaging Vis. 35(2), 155\u2013164 (2009)","journal-title":"J. Math. Imaging Vis."},{"key":"10_CR24","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1007\/978-3-540-27816-0_8","volume-title":"Computer Vision and Mathematical Methods in Medical and Biomedical Image Analysis","author":"PT Fletcher","year":"2004","unstructured":"Fletcher, P.T., Joshi, S.: Principal geodesic analysis on symmetric spaces: statistics of diffusion tensors. In: Sonka, M., Kakadiaris, I.A., Kybic, J. (eds.) CVAMIA\/MMBIA -2004. LNCS, vol. 3117, pp. 87\u201398. Springer, Heidelberg (2004). \nhttps:\/\/doi.org\/10.1007\/978-3-540-27816-0_8"}],"container-title":["Lecture Notes in Computer Science","Image Analysis and Recognition"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-93000-8_10","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,6,5]],"date-time":"2018-06-05T01:54:45Z","timestamp":1528163685000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-93000-8_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783319929996","9783319930008"],"references-count":24,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-93000-8_10","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2018]]}}}