Balehowsky, Tracey; Karlsson, Carl-Joar; Modin, Klas Shape analysis via gradient flows on diffeomorphism groups. (English) Zbl 07641222 Nonlinearity 36, No. 2, 862-877 (2023). MSC: 53Exx 58D05 35F25 68U10 PDFBibTeX XMLCite \textit{T. Balehowsky} et al., Nonlinearity 36, No. 2, 862--877 (2023; Zbl 07641222) Full Text: DOI arXiv
Chen, Chong; Gris, Barbara; Öktem, Ozan A new variational model for joint image reconstruction and motion estimation in spatiotemporal imaging. (English) Zbl 1434.68585 SIAM J. Imaging Sci. 12, No. 4, 1686-1719 (2019). MSC: 68T45 65D18 68U10 94A08 PDFBibTeX XMLCite \textit{C. Chen} et al., SIAM J. Imaging Sci. 12, No. 4, 1686--1719 (2019; Zbl 1434.68585) Full Text: DOI arXiv
Neumayer, Sebastian; Persch, Johannes; Steidl, Gabriele Morphing of manifold-valued images inspired by discrete geodesics in image spaces. (English) Zbl 1429.65043 SIAM J. Imaging Sci. 11, No. 3, 1898-1930 (2018). MSC: 65D18 53C22 68U10 PDFBibTeX XMLCite \textit{S. Neumayer} et al., SIAM J. Imaging Sci. 11, No. 3, 1898--1930 (2018; Zbl 1429.65043) Full Text: DOI arXiv
Charlier, B.; Charon, N.; Trouvé, A. The fshape framework for the variability analysis of functional shapes. (English) Zbl 1376.49054 Found. Comput. Math. 17, No. 2, 287-357 (2017). Reviewer: Martin Gugat (Erlangen) MSC: 49Q10 49M25 58B32 58E50 68U05 68U10 PDFBibTeX XMLCite \textit{B. Charlier} et al., Found. Comput. Math. 17, No. 2, 287--357 (2017; Zbl 1376.49054) Full Text: DOI arXiv
Arguillère, Sylvain; Trélat, Emmanuel; Trouvé, Alain; Younes, Laurent Registration of multiple shapes using constrained optimal control. (English) Zbl 1352.94005 SIAM J. Imaging Sci. 9, No. 1, 344-385 (2016). MSC: 94A08 49N90 49Q10 58D05 PDFBibTeX XMLCite \textit{S. Arguillère} et al., SIAM J. Imaging Sci. 9, No. 1, 344--385 (2016; Zbl 1352.94005) Full Text: DOI arXiv
Yang, Xianfeng; Li, Yonghui; Reutens, David; Jiang, Tianzi Diffeomorphic metric landmark mapping using stationary velocity field parameterization. (English) Zbl 1398.68645 Int. J. Comput. Vis. 115, No. 2, 69-86 (2015). MSC: 68U10 57N25 92C55 PDFBibTeX XMLCite \textit{X. Yang} et al., Int. J. Comput. Vis. 115, No. 2, 69--86 (2015; Zbl 1398.68645) Full Text: DOI
Bal, Gulce; Diebold, Julia; Chambers, Erin Wolf; Gasparovic, Ellen; Hu, Ruizhen; Leonard, Kathryn; Shaker, Matineh; Wenk, Carola Skeleton-based recognition of shapes in images via longest path matching. (English) Zbl 1358.94008 Leonard, Kathryn (ed.) et al., Research in shape modeling. Proceedings of the women in shape modeling (WiSH) workshop, Los Angeles, CA, USA, July 2013. Cham: Springer (ISBN 978-3-319-16347-5/hbk; 978-3-319-16348-2/ebook). Association for Women in Mathematics Series 1, 81-99 (2015). MSC: 94A08 PDFBibTeX XMLCite \textit{G. Bal} et al., Assoc. Women Math. Ser. 1, 81--99 (2015; Zbl 1358.94008) Full Text: DOI
Ozeré, Solène; Gout, Christian; Le Guyader, Carole Joint segmentation/registration model by shape alignment via weighted total variation minimization and nonlinear elasticity. (English) Zbl 1343.68275 SIAM J. Imaging Sci. 8, No. 3, 1981-2020 (2015). MSC: 68U10 49J45 65D18 74B20 94A08 PDFBibTeX XMLCite \textit{S. Ozeré} et al., SIAM J. Imaging Sci. 8, No. 3, 1981--2020 (2015; Zbl 1343.68275) Full Text: DOI
Berkels, B.; Effland, A.; Rumpf, M. Time discrete geodesic paths in the space of images. (English) Zbl 1325.65031 SIAM J. Imaging Sci. 8, No. 3, 1457-1488 (2015). MSC: 65D18 94A08 53C22 PDFBibTeX XMLCite \textit{B. Berkels} et al., SIAM J. Imaging Sci. 8, No. 3, 1457--1488 (2015; Zbl 1325.65031) Full Text: DOI arXiv
Allassonnière, S.; Durrleman, S.; Kuhn, E. Bayesian mixed effect atlas estimation with a diffeomorphic deformation model. (English) Zbl 1351.60096 SIAM J. Imaging Sci. 8, No. 3, 1367-1395 (2015). MSC: 60J22 62F10 62F15 62F30 62M40 65C40 94A08 PDFBibTeX XMLCite \textit{S. Allassonnière} et al., SIAM J. Imaging Sci. 8, No. 3, 1367--1395 (2015; Zbl 1351.60096) Full Text: DOI Link
Bauer, Martin; Bruveris, Martins; Michor, Peter W. Overview of the geometries of shape spaces and diffeomorphism groups. (English) Zbl 1310.58005 J. Math. Imaging Vis. 50, No. 1-2, 60-97 (2014). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D15 58D17 58D05 53A07 94A08 94A15 32G15 PDFBibTeX XMLCite \textit{M. Bauer} et al., J. Math. Imaging Vis. 50, No. 1--2, 60--97 (2014; Zbl 1310.58005) Full Text: DOI arXiv
Durrleman, Stanley; Allassonnière, Stéphanie; Joshi, Sarang Sparse adaptive parameterization of variability in image ensembles. (English) Zbl 1259.68196 Int. J. Comput. Vis. 101, No. 1, 161-183 (2013). MSC: 68T45 68U10 PDFBibTeX XMLCite \textit{S. Durrleman} et al., Int. J. Comput. Vis. 101, No. 1, 161--183 (2013; Zbl 1259.68196) Full Text: DOI Link
Lin, Tungyou; Le Guyader, Carole; Dinov, Ivo; Thompson, Paul; Toga, Arthur; Vese, Luminita Gene expression data to mouse atlas registration using a nonlinear elasticity smoother and landmark points constraints. (English) Zbl 1253.94014 J. Sci. Comput. 50, No. 3, 586-609 (2012). MSC: 94A08 92C55 PDFBibTeX XMLCite \textit{T. Lin} et al., J. Sci. Comput. 50, No. 3, 586--609 (2012; Zbl 1253.94014) Full Text: DOI Link
Rumpf, Martin; Wirth, Benedikt An elasticity-based covariance analysis of shapes. (English) Zbl 1235.68284 Int. J. Comput. Vis. 92, No. 3, 281-295 (2011). MSC: 68T45 68U10 PDFBibTeX XMLCite \textit{M. Rumpf} and \textit{B. Wirth}, Int. J. Comput. Vis. 92, No. 3, 281--295 (2011; Zbl 1235.68284) Full Text: DOI
Cordero-Grande, Lucilio; Vegas-Sánchez-Ferrero, Gonzalo; Casaseca-de-la-Higuera, Pablo; Alberola-López, Carlos Topology-preserving registration: a solution via graph cuts. (English) Zbl 1330.68323 Aggarwal, Jake K. (ed.) et al., Combinatorial image analysis. 14th international workshop, IWCIA 2011, Madrid, Spain, May 23–25, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-21072-3/pbk). Lecture Notes in Computer Science 6636, 420-431 (2011). MSC: 68U10 PDFBibTeX XMLCite \textit{L. Cordero-Grande} et al., Lect. Notes Comput. Sci. 6636, 420--431 (2011; Zbl 1330.68323) Full Text: DOI
Berkels, Benjamin; Linkmann, Gina; Rumpf, Martin An SL(2) invariant shape median. (English) Zbl 1490.68271 J. Math. Imaging Vis. 37, No. 2, 85-97 (2010). MSC: 68U10 PDFBibTeX XMLCite \textit{B. Berkels} et al., J. Math. Imaging Vis. 37, No. 2, 85--97 (2010; Zbl 1490.68271) Full Text: DOI
Rumpf, Martin; Wirth, Benedikt A nonlinear elastic shape averaging approach. (English) Zbl 1219.49035 SIAM J. Imaging Sci. 2, No. 3, 800-833 (2009). MSC: 49Q10 49J45 65N55 65M60 74B20 68U10 49S05 PDFBibTeX XMLCite \textit{M. Rumpf} and \textit{B. Wirth}, SIAM J. Imaging Sci. 2, No. 3, 800--833 (2009; Zbl 1219.49035) Full Text: DOI Link
Younes, Laurent; Qiu, Anqi; Winslow, Raimond L.; Miller, Michael I. Transport of relational structures in groups of diffeomorphisms. (English) Zbl 1446.68187 J. Math. Imaging Vis. 32, No. 1, 41-56 (2008). MSC: 68U10 57S05 58D05 68U05 PDFBibTeX XMLCite \textit{L. Younes} et al., J. Math. Imaging Vis. 32, No. 1, 41--56 (2008; Zbl 1446.68187) Full Text: DOI Link
Acker, Jens F.; Berkels, Benjamin; Bredies, Kristian; Diallo, Mamadou S.; Droske, Marc; Garbe, Christoph S.; Holschneider, Matthias; Hron, Jaroslav; Kondermann, Claudia; Kulesh, Michail; Maass, Peter; Olischläger, Nadine; Peitgen, Heinz-Otto; Preusser, Tobias; Rumpf, Martin; Schaller, Karl; Scherbaum, Frank; Turek, Stefan Inverse problems and parameter identification in image processing. (English) Zbl 1272.94004 Dahlhaus, Rainer (ed.) et al., Mathematical methods in signal processing and digital image analysis. Berlin: Springer (ISBN 978-3-540-75631-6/hbk). Springer Complexity, 111-151 (2008). MSC: 94A08 86-08 PDFBibTeX XMLCite \textit{J. F. Acker} et al., in: Mathematical methods in signal processing and digital image analysis. Berlin: Springer. 111--151 (2008; Zbl 1272.94004) Full Text: DOI
Hogea, Cosmina; Davatzikos, Christos; Biros, George Brain-tumor interaction biophysical models for medical image registration. (English) Zbl 1175.92027 SIAM J. Sci. Comput. 30, No. 6, 3050-3072 (2008). MSC: 92C50 92C05 65N50 65Y05 68W10 92C55 35Q92 PDFBibTeX XMLCite \textit{C. Hogea} et al., SIAM J. Sci. Comput. 30, No. 6, 3050--3072 (2008; Zbl 1175.92027) Full Text: DOI
Cao, Frédéric; Lisani, José-Luis; Morel, Jean-Michel; Musé, Pablo; Sur, Frédéric A theory of shape identification. (English) Zbl 1156.68002 Lecture Notes in Mathematics 1948. Berlin: Springer (ISBN 978-3-540-68480-0/pbk; 978-3-540-68481-7/ebook). xi, 257 p. (2008). Reviewer: Dana Petcu (Timişoara) MSC: 68-02 94-02 68T10 68U10 94A08 PDFBibTeX XMLCite \textit{F. Cao} et al., A theory of shape identification. Berlin: Springer (2008; Zbl 1156.68002) Full Text: DOI
Fischer, Bernd; Modersitzki, Jan Ill-posed medicine – an introduction to image registration. (English) Zbl 1138.92347 Inverse Probl. 24, No. 3, Article ID 034008, 16 p. (2008). MSC: 92C55 94A08 68U10 92C50 PDFBibTeX XMLCite \textit{B. Fischer} and \textit{J. Modersitzki}, Inverse Probl. 24, No. 3, Article ID 034008, 16 p. (2008; Zbl 1138.92347) Full Text: DOI
Droske, Marc; Ring, Wolfgang A Mumford-Shah level-set approach for geometric image registration. (English) Zbl 1112.49029 SIAM J. Appl. Math. 66, No. 6, 2127-2148 (2006). MSC: 49M30 68U10 PDFBibTeX XMLCite \textit{M. Droske} and \textit{W. Ring}, SIAM J. Appl. Math. 66, No. 6, 2127--2148 (2006; Zbl 1112.49029) Full Text: DOI
Henn, Stefan A translation and rotation invariant Gauss-Newton like scheme for image registration. (English) Zbl 1098.65076 BIT 46, No. 2, 325-344 (2006). MSC: 65K10 49J20 49M15 94A08 PDFBibTeX XMLCite \textit{S. Henn}, BIT 46, No. 2, 325--344 (2006; Zbl 1098.65076) Full Text: DOI
Miller, Michael I.; Trouvé, Alain; Younes, Laurent Geodesic shooting for computational anatomy. (English) Zbl 1478.92084 J. Math. Imaging Vis. 24, No. 2, 209-228 (2006). MSC: 92C50 68U10 68T10 68T45 53C20 PDFBibTeX XMLCite \textit{M. I. Miller} et al., J. Math. Imaging Vis. 24, No. 2, 209--228 (2006; Zbl 1478.92084) Full Text: DOI Link
Droske, Marc On variational problems and gradient flows in image processing. (English) Zbl 1196.94003 Duisburg-Essen: Univ. Duisburg-Essen, Fachbereich Mathematik. 160 p. (2005). MSC: 94-02 94A08 PDFBibTeX XMLCite \textit{M. Droske}, On variational problems and gradient flows in image processing. Duisburg-Essen: Univ. Duisburg-Essen, Fachbereich Mathematik (2005; Zbl 1196.94003) Full Text: Link
Trouvé, Alain; Younes, Laurent Metamorphoses through Lie group action. (English) Zbl 1099.68116 Found. Comput. Math. 5, No. 2, 173-198 (2005). MSC: 68T45 53B21 58E10 58E40 68U10 68T10 PDFBibTeX XMLCite \textit{A. Trouvé} and \textit{L. Younes}, Found. Comput. Math. 5, No. 2, 173--198 (2005; Zbl 1099.68116) Full Text: DOI
Henn, Stefan; Witsch, Kristian Image registration based on multiscale energy information. (English) Zbl 1093.94004 Multiscale Model. Simul. 4, No. 2, 584-609 (2005). MSC: 94A08 35J35 49K20 PDFBibTeX XMLCite \textit{S. Henn} and \textit{K. Witsch}, Multiscale Model. Simul. 4, No. 2, 584--609 (2005; Zbl 1093.94004) Full Text: DOI