{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T07:08:27Z","timestamp":1774940907517,"version":"3.50.1"},"reference-count":80,"publisher":"Springer Science and Business Media LLC","issue":"9","license":[{"start":{"date-parts":[[2018,6,8]],"date-time":"2018-06-08T00:00:00Z","timestamp":1528416000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Math Imaging Vis"],"published-print":{"date-parts":[[2018,11]]},"DOI":"10.1007\/s10851-018-0827-8","type":"journal-article","created":{"date-parts":[[2018,6,8]],"date-time":"2018-06-08T15:10:03Z","timestamp":1528470603000},"page":"1482-1502","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Measure-Valued Variational Models with Applications to Diffusion-Weighted Imaging"],"prefix":"10.1007","volume":"60","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2135-4436","authenticated-orcid":false,"given":"Thomas","family":"Vogt","sequence":"first","affiliation":[]},{"given":"Jan","family":"Lellmann","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,6,8]]},"reference":[{"key":"827_CR1","doi-asserted-by":"crossref","unstructured":"Aganj, I., Lenglet, C., Sapiro, G.: ODF reconstruction in Q-ball imaging with solid angle consideration. In: Proceedings of the IEEE International Symposium on Biomed Imaging 2009, pp. 1398\u20131401 (2009)","DOI":"10.1109\/ISBI.2009.5193327"},{"key":"827_CR2","doi-asserted-by":"crossref","unstructured":"Ahrens, C., Nealy, J., P\u00e9rez, F., van der Walt, S.: Sparse reproducing kernels for modeling fiber crossings in diffusion weighted imaging. In: Proceedings of the IEEE International Symposium on Biomed Imaging 2013, pp. 688\u2013691 (2013)","DOI":"10.1109\/ISBI.2013.6556568"},{"issue":"3","key":"827_CR3","first-page":"439","volume":"17","author":"L Ambrosio","year":"1990","unstructured":"Ambrosio, L.: Metric space valued functions of bounded variation. Ann. Sc. Norm. Super. Pisa Cl. Sci. IV. Ser. 17(3), 439\u2013478 (1990)","journal-title":"Ann. Sc. Norm. Super. Pisa Cl. Sci. IV. Ser."},{"key":"827_CR4","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198502456.001.0001","volume-title":"Functions of Bounded Variation and Free Discontinuity Problems","author":"L Ambrosio","year":"2000","unstructured":"Ambrosio, L., Fusco, N., Pallara, D.: Functions of Bounded Variation and Free Discontinuity Problems. Clarendon Press, Oxford (2000)"},{"issue":"2","key":"827_CR5","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1007\/s10851-016-0702-4","volume":"58","author":"F \u00c5str\u00f6m","year":"2017","unstructured":"\u00c5str\u00f6m, F., Petra, S., Schmitzer, B., Schn\u00f6rr, C.: Image labeling by assignment. J. Math. Imaging Vis. 58(2), 211\u2013238 (2017)","journal-title":"J. Math. Imaging Vis."},{"key":"827_CR6","doi-asserted-by":"crossref","unstructured":"Ball, J.: A version of the fundamental theorem for Young measures. In: PDEs and Continuum Models of Phase Transitions. Proceedings of an NSF-CNRS Joint Seminar Held in Nice, France, January 18\u201322, 1988, pp. 207\u2013215 (1989)","DOI":"10.1007\/BFb0024945"},{"issue":"1","key":"827_CR7","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1016\/S0006-3495(94)80775-1","volume":"66","author":"PJ Basser","year":"1994","unstructured":"Basser, P.J., Mattiello, J., LeBihan, D.: MR diffusion tensor spectroscopy and imaging. Biophys. J. 66(1), 259\u2013267 (1994)","journal-title":"Biophys. J."},{"issue":"1","key":"827_CR8","doi-asserted-by":"publisher","first-page":"A567","DOI":"10.1137\/15M101988X","volume":"38","author":"M Ba\u010d\u00e1k","year":"2016","unstructured":"Ba\u010d\u00e1k, M., Bergmann, R., Steidl, G., Weinmann, A.: A second order non-smooth variational model for restoring manifold-valued images. SIAM J. Sci. Comput. 38(1), A567\u2013A597 (2016)","journal-title":"SIAM J. Sci. Comput."},{"issue":"6","key":"827_CR9","doi-asserted-by":"publisher","first-page":"1142","DOI":"10.1016\/j.media.2012.05.007","volume":"16","author":"S Becker","year":"2012","unstructured":"Becker, S., Tabelow, K., Voss, H.U., Anwander, A., Heidemann, R.M., Polzehl, J.: Position-orientation adaptive smoothing of diffusion weighted magnetic resonance data (POAS). Med. Image Anal. 16(6), 1142\u20131155 (2012)","journal-title":"Med. Image Anal."},{"key":"827_CR10","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-07931-7","volume-title":"Integration","author":"N Bourbaki","year":"2004","unstructured":"Bourbaki, N.: Integration. Springer, Berlin (2004)"},{"key":"827_CR11","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198539445.001.0001","volume-title":"Principles of Nuclear Magnetic Resonance Microscopy","author":"PT Callaghan","year":"1991","unstructured":"Callaghan, P.T.: Principles of Nuclear Magnetic Resonance Microscopy. Clarendon Press, Oxford (1991)"},{"issue":"10","key":"827_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1371\/journal.pone.0138910","volume":"10","author":"EJ Canales-Rodr\u00edguez","year":"2015","unstructured":"Canales-Rodr\u00edguez, E.J., Daducci, A., Sotiropoulos, S.N., Caruyer, E., Aja-Fern\u00e1ndez, S., Radua, J., et al.: Spherical deconvolution of multichannel diffusion MRI data with non-Gaussian noise models and spatial regularization. PLoS ONE 10(10), 1\u201329 (2015)","journal-title":"PLoS ONE"},{"key":"827_CR13","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511814228","volume-title":"Real Analysis","author":"NL Carothers","year":"2000","unstructured":"Carothers, N.L.: Real Analysis. Cambridge University Press, Cambridge (2000)"},{"key":"827_CR14","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1515\/9783110226157.263","volume":"9","author":"A Chambolle","year":"2010","unstructured":"Chambolle, A., Caselles, V., Cremers, D., Novaga, M., Pock, T.: An introduction to total variation for image analysis. Theor. Found. Numer. Methods Sparse Recovery 9, 263\u2013340 (2010)","journal-title":"Theor. Found. Numer. Methods Sparse Recovery"},{"issue":"1","key":"827_CR15","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1007\/s10851-010-0251-1","volume":"40","author":"A Chambolle","year":"2011","unstructured":"Chambolle, A., Pock, T.: A first-order primal-dual algorithm for convex problems with applications to imaging. J. Math. Imaging Vis. 40(1), 120\u2013145 (2011)","journal-title":"J. Math. Imaging Vis."},{"key":"827_CR16","unstructured":"Chambolle, A., Pock, T.: Total roto-translational variation. Technical Report arXiv:1709.09953 , arXiv (2017)"},{"issue":"5","key":"827_CR17","doi-asserted-by":"publisher","first-page":"1817","DOI":"10.1137\/040604297","volume":"65","author":"TF Chan","year":"2005","unstructured":"Chan, T.F., Esedoglu, S.: Aspects of total variation regularized $$L^1$$ L 1 function approximation. SIAM J. Appl. Math. 65(5), 1817\u20131837 (2005)","journal-title":"SIAM J. Appl. Math."},{"issue":"3","key":"827_CR18","doi-asserted-by":"publisher","first-page":"458","DOI":"10.1007\/s11263-016-0975-5","volume":"122","author":"D Chen","year":"2016","unstructured":"Chen, D., Mirebeau, J.M., Cohen, L.D.: Global minimum for a finsler elastica minimal path approach. Int. J. Comput. Vis. 122(3), 458\u2013483 (2016). https:\/\/doi.org\/10.1007\/s11263-016-0975-5","journal-title":"Int. J. Comput. Vis."},{"key":"827_CR19","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-4820-3","volume-title":"Functional Analysis, Calculus of Variations and Optimal Control","author":"F Clarke","year":"2013","unstructured":"Clarke, F.: Functional Analysis, Calculus of Variations and Optimal Control. Springer, London (2013)"},{"issue":"1","key":"827_CR20","doi-asserted-by":"crossref","first-page":"138","DOI":"10.4208\/nmtma.2013.mssvm08","volume":"6","author":"E Creusen","year":"2013","unstructured":"Creusen, E., Duits, R., Vilanova, A., Florack, L.: Numerical schemes for linear and non-linear enhancement of DW-MRI. Numer. Math. Theor. Methods Appl. 6(1), 138\u2013168 (2013)","journal-title":"Numer. Math. Theor. Methods Appl."},{"key":"827_CR21","unstructured":"Cuturi, M.: Sinkhorn distances: Lightspeed computation of optimal transport. In: Burges, C.J.C., Bottou, L., Welling, M., Ghahramani, Z., Weinberger, K.Q. (eds.) Advances in Neural Information Processing Systems 26, pp. 2292\u20132300. Curran Associates, Inc. (2013)"},{"key":"827_CR22","volume-title":"Direct Methods in the Calculus of Variations","author":"B Dacorogna","year":"2008","unstructured":"Dacorogna, B.: Direct Methods in the Calculus of Variations, 2nd edn. Springer, Berlin (2008)","edition":"2"},{"issue":"2","key":"827_CR23","doi-asserted-by":"publisher","first-page":"384","DOI":"10.1109\/TMI.2013.2285500","volume":"33","author":"A Daducci","year":"2014","unstructured":"Daducci, A., et al.: Quantitative comparison of reconstruction methods for intra-voxel fiber recovery from diffusion MRI. IEEE Trans. Med. Imaging 33(2), 384\u2013399 (2014)","journal-title":"IEEE Trans. Med. Imaging"},{"issue":"2","key":"827_CR24","doi-asserted-by":"publisher","first-page":"384","DOI":"10.1109\/TMI.2013.2285500","volume":"33","author":"A Daducci","year":"2014","unstructured":"Daducci, A., Canales-Rodr\u00edguez, E.J., Descoteaux, M., Garyfallidis, E., Gur, Y., et al.: Quantitative comparison of reconstruction methods for intra-voxel fiber recovery from diffusion MRI. IEEE Trans. Med. Imaging 33(2), 384\u2013399 (2014)","journal-title":"IEEE Trans. Med. Imaging"},{"key":"827_CR25","doi-asserted-by":"crossref","unstructured":"Delputte, S., Dierckx, H., Fieremans, E., D\u2019Asseler, Y., Achten, R., Lemahieu, I.: Postprocessing of brain white matter fiber orientation distribution functions. In: Proceedings of the IEEE International Symposium on Biomed Imaging 2007, pp. 784\u2013787 (2007)","DOI":"10.1109\/ISBI.2007.356969"},{"key":"827_CR26","unstructured":"Descoteaux, M.: High angular resolution diffusion MRI: from local estimation to segmentation and tractography. Ph.D. thesis, University of Nice-Sophia Antipolis (2008)"},{"key":"827_CR27","first-page":"89","volume":"49","author":"M Ducho\u0148","year":"2011","unstructured":"Ducho\u0148, M., Debi\u00e8ve, C.: Functions with bounded variation in locally convex space. Tatra Mt. Math. Publ. 49, 89\u201398 (2011)","journal-title":"Tatra Mt. Math. Publ."},{"issue":"3","key":"827_CR28","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1007\/s11263-010-0332-z","volume":"92","author":"R Duits","year":"2011","unstructured":"Duits, R., Franken, E.: Left-invariant diffusions on the space of positions and orientations and their application to crossing-preserving smoothing of HARDI images. Int. J. Comput. Vis. 92(3), 231\u2013264 (2011)","journal-title":"Int. J. Comput. Vis."},{"issue":"3","key":"827_CR29","doi-asserted-by":"publisher","first-page":"326","DOI":"10.1007\/s10851-012-0387-2","volume":"46","author":"R Duits","year":"2012","unstructured":"Duits, R., Haije, T.D., Creusen, E., Ghosh, A.: Morphological and linear scale spaces for fiber enhancement in DW-MRI. J. Math. Imaging Vis. 46(3), 326\u2013368 (2012)","journal-title":"J. Math. Imaging Vis."},{"issue":"1","key":"827_CR30","doi-asserted-by":"publisher","first-page":"154","DOI":"10.1137\/090757083","volume":"8","author":"V Duval","year":"2009","unstructured":"Duval, V., Aujol, J.F., Gousseau, Y.: The TVL1 model: a geometric point of view. Multiscale Model. Simul. 8(1), 154\u2013189 (2009)","journal-title":"Multiscale Model. Simul."},{"issue":"7","key":"827_CR31","doi-asserted-by":"publisher","first-page":"916","DOI":"10.1016\/j.mri.2011.05.002","volume":"29","author":"HH Ehricke","year":"2011","unstructured":"Ehricke, H.H., Otto, K.M., Klose, U.: Regularization of bending and crossing white matter fibers in MRI Q-ball fields. Magn. Reson. Imaging 29(7), 916\u2013926 (2011)","journal-title":"Magn. Reson. Imaging"},{"key":"827_CR32","first-page":"460","volume-title":"Lecture Notes in Computer Science","author":"Jan Henrik Fitschen","year":"2017","unstructured":"Fitschen, J.H., Laus, F., Schmitzer, B.: Optimal transport for manifold-valued images. In: 2017 Scale Space and Variational Methods in Computer Vision, pp. 460\u2013472 (2017)"},{"issue":"3","key":"827_CR33","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1007\/s10851-016-0644-x","volume":"56","author":"JH Fitschen","year":"2016","unstructured":"Fitschen, J.H., Laus, F., Steidl, G.: Transport between RGB images motivated by dynamic optimal transport. J. Math. Imaging Vis. 56(3), 409\u2013429 (2016)","journal-title":"J. Math. Imaging Vis."},{"issue":"8","key":"827_CR34","first-page":"1","volume":"8","author":"E Garyfallidis","year":"2014","unstructured":"Garyfallidis, E., Brett, M., Amirbekian, B., Rokem, A., Van Der Walt, S., Descoteaux, M., Nimmo-Smith, I., Contributors, D.: Dipy, a library for the analysis of diffusion MRI data. Front. Neuroinform. 8(8), 1\u201317 (2014)","journal-title":"Front. Neuroinform."},{"key":"827_CR35","doi-asserted-by":"publisher","first-page":"877","DOI":"10.1007\/978-3-642-04268-3_108","volume-title":"Medical Image Computing and Computer-Assisted Intervention \u2013 MICCAI 2009","author":"Alvina Goh","year":"2009","unstructured":"Goh, A., Lenglet, C., Thompson, P.M., Vidal, R.: Estimating orientation distribution functions with probability density constraints and spatial regularity. In: Medical Image Computing and Computer-Assisted Intervention\u2014MICCAI 2009, pp. 877\u2013885 (2009)"},{"issue":"2","key":"827_CR36","doi-asserted-by":"publisher","first-page":"537","DOI":"10.1137\/110823766","volume":"5","author":"B Goldluecke","year":"2012","unstructured":"Goldluecke, B., Strekalovskiy, E., Cremers, D.: The natural vectorial total variation which arises from geometric measure theory. SIAM J. Imaging Sci. 5(2), 537\u2013563 (2012)","journal-title":"SIAM J. Imaging Sci."},{"key":"827_CR37","unstructured":"Goldstein, T., Esser, E., Baraniuk, R.: Adaptive primal dual optimization for image processing and learning. In: Proceedings of the 6th NIPS Workshop on Optimization for Machine Learning (2013)"},{"key":"827_CR38","unstructured":"Goldstein, T., Li, M., Yuan, X.: Adaptive primal-dual splitting methods for statistical learning and image processing. In: Cortes, C., Lawrence, N.D., Lee, D.D., Sugiyama, M., Garnett, R. (eds.) Advances in Neural Information Processing Systems, vol. 28, pp. 2089\u20132097. Curran Associates, Inc., New York (2015)"},{"key":"827_CR39","unstructured":"Goldstein, T., Li, M., Yuan, X., Esser, E., Baraniuk, R.: Adaptive primal-dual hybrid gradient methods for saddle-point problems. Technical Report arXiv:1305.0546v2 , arXiv (2015)"},{"key":"827_CR40","volume-title":"Real and Abstract Analysis","author":"E Hewitt","year":"1965","unstructured":"Hewitt, E., Stromberg, K.: Real and Abstract Analysis. Springer, Berlin (1965)"},{"issue":"3","key":"827_CR41","doi-asserted-by":"publisher","first-page":"1874","DOI":"10.1137\/140998767","volume":"8","author":"T Hohage","year":"2015","unstructured":"Hohage, T., R\u00fcgge, C.: A coherence enhancing penalty for diffusion MRI: regularizing property and discrete approximation. SIAM J. Imaging Sci. 8(3), 1874\u20131893 (2015)","journal-title":"SIAM J. Imaging Sci."},{"key":"827_CR42","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-88507-5","volume-title":"Topics in the Theory of Lifting","author":"AI Tulcea","year":"1969","unstructured":"Tulcea, A.I., Tulcea, C.I.: Topics in the Theory of Lifting. Springer, Berlin (1969)"},{"issue":"11","key":"827_CR43","doi-asserted-by":"publisher","first-page":"1877","DOI":"10.1109\/TMI.2011.2157517","volume":"30","author":"E Kaden","year":"2011","unstructured":"Kaden, E., Kruggel, F.: A reproducing kernel hilbert space approach for Q-ball imaging. IEEE Trans. Med. Imaging 30(11), 1877\u20131886 (2011)","journal-title":"IEEE Trans. Med. Imaging"},{"key":"827_CR44","first-page":"1058","volume":"115","author":"LV Kantorovich","year":"1957","unstructured":"Kantorovich, L.V., Rubinshtein, G.S.: On a functional space and certain extremum problems. Dokl. Akad. Nauk SSSR 115, 1058\u20131061 (1957)","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"827_CR45","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1016\/j.mri.2018.03.006","volume":"49","author":"SC Karayumak","year":"2018","unstructured":"Karayumak, S.C., \u00d6zarslan, E., Unal, G.: Asymmetric orientation distribution functions (AODFs) revealing intravoxel geometry in diffusion MRI. Magn. Reson. Imaging 49, 145\u2013158 (2018)","journal-title":"Magn. Reson. Imaging"},{"key":"827_CR46","unstructured":"Kezele, I., Descoteaux, M., Poupon, C., Abrial, P., Poupon, F., Mangin, J.F.: Multiresolution decomposition of HARDI and ODF profiles using spherical wavelets. In: Presented at the Workshop on Computational Diffusion MRI, MICCAI, New York, pp. 225\u2013234 (2008)"},{"issue":"2","key":"827_CR47","doi-asserted-by":"publisher","first-page":"273","DOI":"10.3934\/ipi.2010.4.273","volume":"4","author":"Y Kim","year":"2010","unstructured":"Kim, Y., Thompson, P.M., Vese, L.A.: HARDI data denoising using vectorial total variation and logarithmic barrier. Inverse Probl. Imaging 4(2), 273\u2013310 (2010)","journal-title":"Inverse Probl. Imaging"},{"key":"827_CR48","doi-asserted-by":"publisher","first-page":"614","DOI":"10.1007\/978-3-319-46448-0_37","volume-title":"Computer Vision \u2013 ECCV 2016","author":"Emanuel Laude","year":"2016","unstructured":"Laude, E., M\u00f6llenhoff, T., Moeller, M., Lellmann, J., Cremers, D.: Sublabel-accurate convex relaxation of vectorial multilabel energies. In: Proceedings of the ECCV 2016 Part I, pp. 614\u2013627 (2016)"},{"key":"827_CR49","unstructured":"Lavenant, H.: Harmonic mappings valued in the Wasserstein space. Technical Report. arXiv:1712.07528 , arXiv (2017)"},{"key":"827_CR50","volume-title":"Riemannian Manifolds. An Introduction to Curvature","author":"JM Lee","year":"1997","unstructured":"Lee, J.M.: Riemannian Manifolds. An Introduction to Curvature. Springer, New York (1997)"},{"issue":"4","key":"827_CR51","doi-asserted-by":"publisher","first-page":"2833","DOI":"10.1137\/140975528","volume":"7","author":"J Lellmann","year":"2014","unstructured":"Lellmann, J., Lorenz, D.A., Sch\u00f6nlieb, C., Valkonen, T.: Imaging with Kantorovich\u2013Rubinstein discrepancy. SIAM J. Imaging Sci. 7(4), 2833\u20132859 (2014)","journal-title":"SIAM J. Imaging Sci."},{"key":"827_CR52","doi-asserted-by":"crossref","unstructured":"Lellmann, J., Strekalovskiy, E., Koetter, S., Cremers, D.: Total variation regularization for functions with values in a manifold. In: 2013 IEEE International Conference on Computer Vision, pp. 2944\u20132951 (2013)","DOI":"10.1109\/ICCV.2013.366"},{"issue":"4","key":"827_CR53","doi-asserted-by":"publisher","first-page":"625","DOI":"10.3934\/ipi.2009.3.625","volume":"3","author":"T McGraw","year":"2009","unstructured":"McGraw, T., Vemuri, B., Ozarslan, E., Chen, Y., Mareci, T.: Variational denoising of diffusion weighted MRI. Inverse Probl. Imaging 3(4), 625\u2013648 (2009)","journal-title":"Inverse Probl. Imaging"},{"key":"827_CR54","unstructured":"Meesters, S., Sanguinetti, G., Garyfallidis, E., Portegies, J., Duits, R.: Fast implementations of contextual PDE\u2019s for HARDI data processing in DIPY. Technical Report, ISMRM 2016 Conference (2016)"},{"key":"827_CR55","unstructured":"Meesters, S., Sanguinetti, G., Garyfallidis, E., Portegies, J., Ossenblok, P., Duits, R.: Cleaning output of tractography via fiber to bundle coherence, a new open source implementation. Technical Report, Human Brain Mapping Conference (2016)"},{"issue":"2","key":"827_CR56","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1109\/TIP.2009.2035886","volume":"19","author":"OV Michailovich","year":"2010","unstructured":"Michailovich, O.V., Rathi, Y.: On approximation of orientation distributions by means of spherical ridgelets. IEEE Trans. Image Process. 19(2), 461\u2013477 (2010)","journal-title":"IEEE Trans. Image Process."},{"issue":"8","key":"827_CR57","doi-asserted-by":"publisher","first-page":"975","DOI":"10.1016\/S0021-7824(03)00036-9","volume":"82","author":"M Miranda","year":"2003","unstructured":"Miranda, M.: Functions of bounded variation on \"good\" metric spaces. Journal de Math\u00e9matiques Pures et Appliqu\u00e9es 82(8), 975\u20131004 (2003)","journal-title":"Journal de Math\u00e9matiques Pures et Appliqu\u00e9es"},{"key":"827_CR58","doi-asserted-by":"crossref","unstructured":"Mollenhoff, T., Laude, E., Moeller, M., Lellmann, J., Cremers, D.: Sublabel-accurate relaxation of nonconvex energies. In: The IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (2016)","DOI":"10.1109\/CVPR.2016.428"},{"issue":"4","key":"827_CR59","doi-asserted-by":"publisher","first-page":"983","DOI":"10.1109\/TPAMI.2012.184","volume":"35","author":"P MomayyezSiahkal","year":"2013","unstructured":"MomayyezSiahkal, P., Siddiqi, K.: 3D stochastic completion fields for mapping connectivity in diffusion MRI. IEEE Trans. Pattern Anal. Mach. Intell. 35(4), 983\u2013995 (2013)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"827_CR60","doi-asserted-by":"crossref","unstructured":"Ncube, S., Srivastava, A.: A novel Riemannian metric for analyzing HARDI data. In: Proceedings of the SPIE, p. 7962 (2011)","DOI":"10.1117\/12.878100"},{"issue":"1","key":"827_CR61","doi-asserted-by":"publisher","first-page":"110","DOI":"10.1504\/IJBRA.2014.058781","volume":"10","author":"Y Ouyang","year":"2014","unstructured":"Ouyang, Y., Chen, Y., Wu, Y.: Vectorial total variation regularisation of orientation distribution functions in diffusion weighted MRI. Int. J. Bioinform. Res. Appl. 10(1), 110\u2013127 (2014)","journal-title":"Int. J. Bioinform. Res. Appl."},{"key":"827_CR62","doi-asserted-by":"crossref","unstructured":"Pock, T., Chambolle, A.: Diagonal preconditioning for first order primal-dual algorithms in convex optimization. In: 2011 International Conference on Computer Vision, Barcelona, pp. 1762\u20131769 (2011)","DOI":"10.1109\/ICCV.2011.6126441"},{"key":"827_CR63","doi-asserted-by":"publisher","first-page":"182","DOI":"10.1016\/j.difgeo.2017.06.004","volume":"53","author":"J Portegies","year":"2017","unstructured":"Portegies, J., Duits, R.: New exact and numerical solutions of the (convection\u2013)diffusion kernels on SE(3). Differ. Geom. Appl. 53, 182\u2013219 (2017)","journal-title":"Differ. Geom. Appl."},{"issue":"10","key":"827_CR64","doi-asserted-by":"publisher","first-page":"e0138,122","DOI":"10.1371\/journal.pone.0138122","volume":"10","author":"JM Portegies","year":"2015","unstructured":"Portegies, J.M., Fick, R.H.J., Sanguinetti, G.R., Meesters, S.P.L., Girard, G., Duits, R.: Improving fiber alignment in HARDI by combining contextual PDE flow with constrained spherical deconvolution. PLOS ONE 10(10), e0138,122 (2015)","journal-title":"PLOS ONE"},{"key":"827_CR65","doi-asserted-by":"publisher","first-page":"353","DOI":"10.1007\/978-3-319-15090-1_18","volume-title":"Visualization and Processing of Higher Order Descriptors for Multi-Valued Data","author":"Vesna Pr\u010dkovska","year":"2015","unstructured":"Pr\u010dkovska, V., Andorr\u00e0, M., Villoslada, P., Martinez-Heras, E., Duits, R., Fortin, D., Rodrigues, P., Descoteaux, M.: Contextual diffusion image post-processing aids clinical applications. In: Hotz, I., Schultz, T. (eds.) Visualization and Processing of Higher Order Descriptors for Multi-Valued Data, pp. 353\u2013377. Springer, Berlin (2015)"},{"issue":"6","key":"827_CR66","doi-asserted-by":"publisher","first-page":"1240","DOI":"10.1109\/TMI.2012.2187916","volume":"31","author":"M Reisert","year":"2012","unstructured":"Reisert, M., Kellner, E., Kiselev, V.: About the geometry of asymmetric fiber orientation distributions. IEEE Trans. Med. Imaging 31(6), 1240\u20131249 (2012)","journal-title":"IEEE Trans. Med. Imaging"},{"key":"827_CR67","doi-asserted-by":"publisher","first-page":"493","DOI":"10.1007\/978-3-642-40760-4_62","volume-title":"Advanced Information Systems Engineering","author":"Marco Reisert","year":"2013","unstructured":"Reisert, M., Skibbe, H.: Fiber continuity based spherical deconvolution in spherical harmonic domain. In: Medical Image Computing and Computer-Assisted Intervention\u2014MICCAI 2013, pp. 493\u2013500. Springer, Berlin (2013)"},{"key":"827_CR68","unstructured":"Rokem, A., Yeatman, J., Pestilli, F., Wandell, B.: High angular resolution diffusion MRI. Stanford Digital Repository (2013). http:\/\/purl.stanford.edu\/yx282xq2090 . Accessed 20 Sept 2017"},{"issue":"3","key":"827_CR69","doi-asserted-by":"publisher","first-page":"349","DOI":"10.1007\/s10851-017-0715-7","volume":"58","author":"H Skibbe","year":"2017","unstructured":"Skibbe, H., Reisert, M.: Spherical tensor algebra: a toolkit for 3d image processing. J. Math. Imaging Vis. 58(3), 349\u2013381 (2017)","journal-title":"J. Math. Imaging Vis."},{"key":"827_CR70","doi-asserted-by":"crossref","unstructured":"Srivastava, A., Jermyn, I.H., Joshi, S.H.: Riemannian analysis of probability density functions with applications in vision. In: CVPR \u201907, pp. 1\u20138 (2007)","DOI":"10.1109\/CVPR.2007.383188"},{"key":"827_CR71","doi-asserted-by":"publisher","first-page":"288","DOI":"10.1063\/1.1695690","volume":"42","author":"E Stejskal","year":"1965","unstructured":"Stejskal, E., Tanner, J.: Spin diffusion measurements: spin echos in the presence of a time-dependent field gradient. J. Chem. Phys. 42, 288\u2013292 (1965)","journal-title":"J. Chem. Phys."},{"key":"827_CR72","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1016\/j.neuroimage.2013.07.067","volume":"86","author":"CMW Tax","year":"2014","unstructured":"Tax, C.M.W., Jeurissen, B., Vos, S.B., Viergever, M.A., Leemans, A.: Recursive calibration of the fiber response function for spherical deconvolution of diffusion MRI data. NeuroImage 86, 67\u201380 (2014)","journal-title":"NeuroImage"},{"issue":"4","key":"827_CR73","doi-asserted-by":"publisher","first-page":"1459","DOI":"10.1016\/j.neuroimage.2007.02.016","volume":"35","author":"JD Tournier","year":"2007","unstructured":"Tournier, J.D., Calamante, F., Connelly, A.: Robust determination of the fibre orientation distribution in diffusion MRI: non-negativity constrained super-resolved spherical deconvolution. NeuroImage 35(4), 1459\u20131472 (2007)","journal-title":"NeuroImage"},{"issue":"3","key":"827_CR74","doi-asserted-by":"publisher","first-page":"1176","DOI":"10.1016\/j.neuroimage.2004.07.037","volume":"23","author":"JD Tournier","year":"2004","unstructured":"Tournier, J.D., Calamante, F., Gadian, D., Connelly, A.: Direct estimation of the fibre orientation density function from diffusion-weighted MRI data using spherical deconvolution. NeuroImage 23(3), 1176\u20131185 (2004)","journal-title":"NeuroImage"},{"issue":"6","key":"827_CR75","doi-asserted-by":"publisher","first-page":"1358","DOI":"10.1002\/mrm.20279","volume":"52","author":"DS Tuch","year":"2004","unstructured":"Tuch, D.S.: Q-ball imaging. Magn. Reson. Med. 52(6), 1358\u20131372 (2004)","journal-title":"Magn. Reson. Med."},{"issue":"4","key":"827_CR76","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1002\/mrm.10268","volume":"48","author":"DS Tuch","year":"2002","unstructured":"Tuch, D.S., Reese, T.G., Wiegell, M.R., Makris, N., Belliveau, J.W., Wedeen, V.J.: High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity. Magn. Reson. Med. 48(4), 577\u2013582 (2002)","journal-title":"Magn. Reson. Med."},{"key":"827_CR77","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-71050-9","volume-title":"Optimal Transport. Old and New","author":"C Villani","year":"2009","unstructured":"Villani, C.: Optimal Transport. Old and New. Springer, Berlin (2009)"},{"key":"827_CR78","first-page":"271","volume-title":"Lecture Notes in Computer Science","author":"Thomas Vogt","year":"2017","unstructured":"Vogt, T., Lellmann, J.: An optimal transport-based restoration method for Q-ball imaging. In: 2017 Scale Space and Variational Methods in Computer Vision, pp. 271\u2013282 (2017)"},{"key":"827_CR79","doi-asserted-by":"publisher","DOI":"10.1142\/4100","volume-title":"Lipschitz Algebras","author":"N Weaver","year":"1999","unstructured":"Weaver, N.: Lipschitz Algebras. World Scientific, Singapore (1999)"},{"issue":"3","key":"827_CR80","doi-asserted-by":"publisher","first-page":"428","DOI":"10.1007\/s10851-015-0628-2","volume":"55","author":"A Weinmann","year":"2016","unstructured":"Weinmann, A., Demaret, L., Storath, M.J.: Mumford\u2013Shah and Potts regularization for manifold-valued data. J. Math. Imaging Vis. 55(3), 428\u2013445 (2016)","journal-title":"J. Math. Imaging Vis."}],"container-title":["Journal of Mathematical Imaging and Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10851-018-0827-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-018-0827-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-018-0827-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,7]],"date-time":"2024-07-07T10:46:07Z","timestamp":1720349167000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10851-018-0827-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6,8]]},"references-count":80,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2018,11]]}},"alternative-id":["827"],"URL":"https:\/\/doi.org\/10.1007\/s10851-018-0827-8","relation":{},"ISSN":["0924-9907","1573-7683"],"issn-type":[{"value":"0924-9907","type":"print"},{"value":"1573-7683","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,6,8]]},"assertion":[{"value":"22 September 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 May 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 June 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}