Mang, Andreas; He, Jiwen; Azencott, Robert An operator-splitting approach for variational optimal control formulations for diffeomorphic shape matching. (English) Zbl 07748049 J. Comput. Phys. 493, Article ID 112463, 32 p. (2023). MSC: 65Kxx 92Cxx 68Uxx PDFBibTeX XMLCite \textit{A. Mang} et al., J. Comput. Phys. 493, Article ID 112463, 32 p. (2023; Zbl 07748049) Full Text: DOI arXiv
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
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
Rumpf, Martin; Wirth, Benedikt Variational methods in shape analysis. 2nd edition. (English) Zbl 1331.68259 Scherzer, Otmar (ed.), Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer (ISBN 978-1-4939-0789-2/print; 978-1-4939-0790-8/ebook; 978-1-4939-0791-5/print+ebook; 978-3-642-27795-5/online (updated continuously)). Springer Reference, 1819-1858 (2015). MSC: 68U05 00A71 65D18 PDFBibTeX XMLCite \textit{M. Rumpf} and \textit{B. Wirth}, in: Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer. 1819--1858 (2015; Zbl 1331.68259) 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
Charon, Nicolas; Trouvé, Alain Functional currents: a new mathematical tool to model and analyse functional shapes. (English) Zbl 1361.68284 J. Math. Imaging Vis. 48, No. 3, 413-431 (2014). MSC: 68T45 68U05 92C55 PDFBibTeX XMLCite \textit{N. Charon} and \textit{A. Trouvé}, J. Math. Imaging Vis. 48, No. 3, 413--431 (2014; Zbl 1361.68284) Full Text: DOI arXiv
Al-Aifari, Reema; Daubechies, Ingrid; Lipman, Yaron Continuous Procrustes distance between two surfaces. (English) Zbl 1276.68157 Commun. Pure Appl. Math. 66, No. 6, 934-964 (2013). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 68U05 65K10 30C30 PDFBibTeX XMLCite \textit{R. Al-Aifari} et al., Commun. Pure Appl. Math. 66, No. 6, 934--964 (2013; Zbl 1276.68157) 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 HAL
Vialard, François-Xavier; Risser, Laurent; Rueckert, Daniel; Cotter, Colin J. Diffeomorphic 3D image registration via geodesic shooting using an efficient adjoint calculation. (English) Zbl 1235.68295 Int. J. Comput. Vis. 97, No. 2, 229-241 (2012). MSC: 68T45 68U05 92C55 PDFBibTeX XMLCite \textit{F.-X. Vialard} et al., Int. J. Comput. Vis. 97, No. 2, 229--241 (2012; Zbl 1235.68295) Full Text: DOI
Wirth, Benedikt; Bar, Leah; Rumpf, Martin; Sapiro, Guillermo A continuum mechanical approach to geodesics in shape space. (English) Zbl 1235.68309 Int. J. Comput. Vis. 93, No. 3, 293-318 (2011). MSC: 68U05 68T45 PDFBibTeX XMLCite \textit{B. Wirth} et al., Int. J. Comput. Vis. 93, No. 3, 293--318 (2011; Zbl 1235.68309) 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
Mémoli, Facundo Gromov-Wasserstein distances and the metric approach to object matching. (English) Zbl 1244.68078 Found. Comput. Math. 11, No. 4, 417-487 (2011). MSC: 68U05 68T10 53C23 60D05 PDFBibTeX XMLCite \textit{F. Mémoli}, Found. Comput. Math. 11, No. 4, 417--487 (2011; Zbl 1244.68078) 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
Younes, Laurent Shapes and diffeomorphisms. (English) Zbl 1205.68355 Applied Mathematical Sciences 171. Berlin: Springer (ISBN 978-3-642-12054-1/pbk; 978-3-642-26348-4/pbk; 978-3-642-12055-8/ebook). xvii, 434 p. (2010). Reviewer: Corina Mohorianu (Iaşi) MSC: 68T10 53-01 68-02 37C10 37E30 53A04 53A05 68U05 92C55 PDFBibTeX XMLCite \textit{L. Younes}, Shapes and diffeomorphisms. Berlin: Springer (2010; Zbl 1205.68355) Full Text: DOI Link
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
Glaunès, Joan; Qiu, Anqi; Miller, Michael I.; Younes, Laurent Large deformation diffeomorphic metric curve mapping. (English) Zbl 1477.68471 Int. J. Comput. Vis. 80, No. 3, 317-336 (2008). MSC: 68U05 92C55 PDFBibTeX XMLCite \textit{J. Glaunès} et al., Int. J. Comput. Vis. 80, No. 3, 317--336 (2008; Zbl 1477.68471) Full Text: DOI Link
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
Garcin, Laurent; Younes, Laurent Geodesic matching with free extremities. (English) Zbl 1478.68399 J. Math. Imaging Vis. 25, No. 3, 329-340 (2006). MSC: 68T45 68U05 PDFBibTeX XMLCite \textit{L. Garcin} and \textit{L. Younes}, J. Math. Imaging Vis. 25, No. 3, 329--340 (2006; Zbl 1478.68399) 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
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