Justiniano, Jorge; Rajković, Marko; Rumpf, Martin Consistent approximation of interpolating splines in image metamorphosis. (English) Zbl 07694846 J. Math. Imaging Vis. 65, No. 1, 29-52 (2023). MSC: 68-XX 94-XX PDFBibTeX XMLCite \textit{J. Justiniano} et al., J. Math. Imaging Vis. 65, No. 1, 29--52 (2023; Zbl 07694846) Full Text: DOI arXiv
Sassen, Josua; Hildebrandt, Klaus; Rumpf, Martin; Wirth, Benedikt Parametrizing Product Shape Manifolds by Composite Networks. arXiv:2302.14665 Preprint, arXiv:2302.14665 [cs.LG] (2023). MSC: 68T07 65D18 65D15 BibTeX Cite \textit{J. Sassen} et al., ``Parametrizing Product Shape Manifolds by Composite Networks'', Preprint, arXiv:2302.14665 [cs.LG] (2023) Full Text: arXiv OA License
Justiniano, Jorge; Rumpf, Martin; Erbar, Matthias Approximation of Splines in Wasserstein Spaces. arXiv:2302.10682 Preprint, arXiv:2302.10682 [math.NA] (2023). MSC: 53B20 65D07 35Q49 65K10 68U10 BibTeX Cite \textit{J. Justiniano} et al., ``Approximation of Splines in Wasserstein Spaces'', Preprint, arXiv:2302.10682 [math.NA] (2023) Full Text: arXiv OA License
Ben-Chen, Mirela (ed.); Chambolle, Antonin (ed.); Rumpf, Martin (ed.); Schröder, Peter (ed.) Mathematical imaging and surface processing. Abstracts from the workshop held August 21–27, 2022. (English) Zbl 1520.00019 Oberwolfach Rep. 19, No. 3, 2195-2266 (2022). MSC: 00B05 00B25 65-06 65D18 68Uxx PDFBibTeX XMLCite \textit{M. Ben-Chen} (ed.) et al., Oberwolfach Rep. 19, No. 3, 2195--2266 (2022; Zbl 1520.00019) Full Text: DOI
Braunsmann, Juliane; Rajković, Marko; Rumpf, Martin; Wirth, Benedikt Convergent autoencoder approximation of low bending and low distortion manifold embeddings. arXiv:2208.10193 Preprint, arXiv:2208.10193 [math.NA] (2022). MSC: 49J55 53Z50 53B12 53B50 65D05 68T09 68T07 BibTeX Cite \textit{J. Braunsmann} et al., ``Convergent autoencoder approximation of low bending and low distortion manifold embeddings'', Preprint, arXiv:2208.10193 [math.NA] (2022) Full Text: arXiv OA License
Sassen, Josua; Heeren, Behrend; Hildebrandt, Klaus; Rumpf, Martin Geometric optimization using nonlinear rotation-invariant coordinates. (English) Zbl 1493.65043 Comput. Aided Geom. Des. 77, Article ID 101829, 22 p. (2020). MSC: 65D18 68U05 PDFBibTeX XMLCite \textit{J. Sassen} et al., Comput. Aided Geom. Des. 77, Article ID 101829, 22 p. (2020; Zbl 1493.65043) Full Text: DOI arXiv
Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar Shape-aware matching of implicit surfaces based on thin shell energies. (English) Zbl 1408.49010 Found. Comput. Math. 18, No. 4, 891-927 (2018). MSC: 49J45 49S05 49M25 65D18 74K25 68U05 PDFBibTeX XMLCite \textit{J. A. Iglesias} et al., Found. Comput. Math. 18, No. 4, 891--927 (2018; Zbl 1408.49010) Full Text: DOI arXiv
Maas, Jan; Rumpf, Martin; Simon, Stefan Transport based image morphing with intensity modulation. (English) Zbl 1489.68328 Lauze, François (ed.) et al., Scale space and variational methods in computer vision. 6th international conference, SSVM 2017, Kolding, Denmark, June 4–8, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10302, 563-577 (2017). MSC: 68T45 49Q22 65D18 PDFBibTeX XMLCite \textit{J. Maas} et al., Lect. Notes Comput. Sci. 10302, 563--577 (2017; Zbl 1489.68328) Full Text: DOI
Chambolle, Antonin (ed.); Rumpf, Martin (ed.); Schröder, Peter (ed.) Mathematical imaging and surface processing. Abstracts from the workshop held January 24–30, 2016. (English) Zbl 1380.00049 Oberwolfach Rep. 13, No. 1, 155-214 (2016). MSC: 00B05 00B25 65-06 68-06 65D18 68U10 94A08 PDFBibTeX XMLCite \textit{A. Chambolle} (ed.) et al., Oberwolfach Rep. 13, No. 1, 155--214 (2016; Zbl 1380.00049) 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
Rumpf, Martin; Wardetzky, Max Geometry processing from an elastic perspective. (English) Zbl 1322.68246 GAMM-Mitt. 37, No. 2, 184-216 (2014). MSC: 68U10 35Q74 53C22 74B20 PDFBibTeX XMLCite \textit{M. Rumpf} and \textit{M. Wardetzky}, GAMM-Mitt. 37, No. 2, 184--216 (2014; Zbl 1322.68246) Full Text: DOI
Rumpf, Martin; Wirth, Benedikt Discrete geodesic calculus in shape space and applications in the space of viscous fluidic objects. (English) Zbl 1279.68337 SIAM J. Imaging Sci. 6, No. 4, 2581-2602 (2013). MSC: 68U10 53C22 74B20 49M20 PDFBibTeX XMLCite \textit{M. Rumpf} and \textit{B. Wirth}, SIAM J. Imaging Sci. 6, No. 4, 2581--2602 (2013; Zbl 1279.68337) Full Text: DOI arXiv
Burger, Martin (ed.); Osher, Stanley (ed.) [Mennucci, Andrea C. G.; Rumpf, Martin] Level set and PDE based reconstruction methods in imaging. Lecture notes given at the CIME summer school, Cetraro, Italy, September 2008. (English) Zbl 1277.94002 Lecture Notes in Mathematics 2090. CIME Foundation Subseries. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-01711-2/pbk; 978-3-319-01712-9/ebook). vii, 319 p. (2013). MSC: 94-06 94A08 68U10 57N25 00B25 PDFBibTeX XMLCite \textit{M. Burger} (ed.) and \textit{S. Osher} (ed.), Level set and PDE based reconstruction methods in imaging. Lecture notes given at the CIME summer school, Cetraro, Italy, September 2008. Cham: Springer; Florence: Fondazione CIME (2013; Zbl 1277.94002) Full Text: DOI
Rumpf, Martin; Wirth, Benedikt Variational methods in shape analysis. (English) Zbl 1259.68212 Scherzer, Otmar (ed.), Handbook of mathematical methods in imaging. In 3 volumes. Berlin: Springer (ISBN 978-0-387-92919-4/hbk; 978-0-387-92920-0/ebook; 978-0-387-92921-7/print+ebook). Springer Reference, 1363-1401 (2011). MSC: 68U05 00A71 65D18 PDFBibTeX XMLCite \textit{M. Rumpf} and \textit{B. Wirth}, in: Handbook of mathematical methods in imaging. In 3 volumes. Berlin: Springer. 1363--1401 (2011; Zbl 1259.68212) Full Text: DOI
Caselles, Vicent (ed.); Rumpf, Martin (ed.); Sapiro, Guillermo (ed.); Schröder, Peter (ed.) Trends in mathematical imaging and surface processing. Abstracts from the workshop held January 30th-February 05th, 2011. (English) Zbl 1242.00039 Oberwolfach Rep. 8, No. 1, 293-348 (2011). MSC: 00B05 65-06 68U10 94A08 49Q10 49Q20 65D18 65K10 65M60 65M32 68U05 PDFBibTeX XMLCite \textit{V. Caselles} (ed.) et al., Oberwolfach Rep. 8, No. 1, 293--348 (2011; Zbl 1242.00039) 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
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
Preusser, T.; Rumpf, Martin; Hamann, Bernd; Telea, Alex Flow visualization via partial differential equations. (English) Zbl 1192.68702 Möller, Torsten (ed.) et al., Mathematical foundations of scientific visualization, computer graphics, and massive data exploration. Papers based on the presentations at the workshop, Banff, Canada, May 22–27, 2004. Berlin: Springer (ISBN 978-3-540-25076-0/hbk; 978-3-540-49926-8/ebook). Mathematics and Visualization, 157-189 (2009). MSC: 68T45 68U10 PDFBibTeX XMLCite \textit{T. Preusser} et al., in: Mathematical foundations of scientific visualization, computer graphics, and massive data exploration. Papers based on the presentations at the workshop, Banff, Canada, May 22--27, 2004. Berlin: Springer. 157--189 (2009; Zbl 1192.68702) 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
Berkels, Benjamin; Rätz, Andreas; Rumpf, Martin; Voigt, Axel Extracting grain boundaries and macroscopic deformations from images on atomic scale. (English) Zbl 1203.65039 J. Sci. Comput. 35, No. 1, 1-23 (2008). MSC: 65D18 49K20 68U10 74A60 74E99 94A08 PDFBibTeX XMLCite \textit{B. Berkels} et al., J. Sci. Comput. 35, No. 1, 1--23 (2008; Zbl 1203.65039) Full Text: DOI
Liehr, Florian; Preusser, Tobias; Rumpf, Martin; Sauter, Stefan; Schwen, Lars Ole Composite finite elements for 3D image based computing. (English) Zbl 1512.65036 Comput. Vis. Sci. 12, No. 4, 171-188 (2009). MSC: 65D18 68U10 92C55 94A08 PDFBibTeX XMLCite \textit{F. Liehr} et al., Comput. Vis. Sci. 12, No. 4, 171--188 (2008; Zbl 1512.65036) Full Text: DOI
Droske, Marc; Ring, Wolfgang; Rumpf, Martin Mumford-Shah based registration: a comparison of a level set and a phase field approach. (English) Zbl 1512.94003 Comput. Vis. Sci. 12, No. 3, 101-114 (2009). MSC: 94A08 65D18 68T45 68U10 PDFBibTeX XMLCite \textit{M. Droske} et al., Comput. Vis. Sci. 12, No. 3, 101--114 (2008; Zbl 1512.94003) Full Text: DOI
Rumpf, Martin (ed.); Dziuk, Gerhard (ed.); Caselles, Vicent (ed.); Schröder, Peter (ed.) Trends in mathematical imaging and surface processing. Abstracts for the workshop held January 21–27, 2007. (English) Zbl 1177.65001 Oberwolfach Rep. 4, No. 1, 139-194 (2007). MSC: 65-05 68-06 65D18 49-06 49Q10 49Q20 68U05 68U10 94A08 65M60 65M32 00B05 PDFBibTeX XMLCite \textit{M. Rumpf} (ed.) et al., Oberwolfach Rep. 4, No. 1, 139--194 (2007; Zbl 1177.65001) Full Text: DOI Link
Nemitz, Oliver; Rumpf, Martin; Tasdizen, Tolga; Whitaker, Ross Anisotropic curvature motion for structure enhancing smoothing of 3D MR angiography data. (English) Zbl 1478.92103 J. Math. Imaging Vis. 27, No. 3, 217-229 (2007). MSC: 92C55 68U10 94A08 PDFBibTeX XMLCite \textit{O. Nemitz} et al., J. Math. Imaging Vis. 27, No. 3, 217--229 (2007; Zbl 1478.92103) Full Text: DOI
Rumpf, Martin; Strzodka, Robert Graphics processor units: new prospects for parallel computing. (English) Zbl 1112.68343 Bruaset, Are Magnus (ed.) et al., Numerical solution of partial differential equations on parallel computers. Berlin: Springer (ISBN 3-540-29076-1/pbk). Lecture Notes in Computational Science and Engineering 51, 89-132 (2006). MSC: 68N19 PDFBibTeX XMLCite \textit{M. Rumpf} and \textit{R. Strzodka}, Lect. Notes Comput. Sci. Eng. 51, 89--132 (2006; Zbl 1112.68343)
Dziuk, Gerhard (ed.); Reif, Ulrich (ed.); Rumpf, Martin (ed.); Schröder, Peter (ed.) Mini-workshop: Analytical and numerical methods in image and surface processing. (English) Zbl 1065.65501 Oberwolfach Rep. 2, No. 1, Report 10, 529-564 (2005). MSC: 65-06 68-06 35-06 00B25 68U10 68U05 00B05 PDFBibTeX XMLCite \textit{G. Dziuk} (ed.) et al., Oberwolfach Rep. 2, No. 1, Report 10, 529--564 (2005; Zbl 1065.65501) Full Text: DOI Link
Bastian, Peter; Droske, Mark; Engwer, Christian; Klöfkorn, Robert; Neubauer, Thimo; Ohlberger, Mario; Rumpf, Martin Towards a unified framework for scientific computing. (English) Zbl 1067.65103 Kornhuber, Ralf (ed.) et al., Domain decomposition methods in science and engineering. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Berlin: Springer (ISBN 3-540-22523-4/pbk). Lecture Notes in Computational Science and Engineering 40, 167-174 (2005). MSC: 65M60 35L45 65Y15 68W30 PDFBibTeX XMLCite \textit{P. Bastian} et al., Lect. Notes Comput. Sci. Eng. 40, 167--174 (2005; Zbl 1067.65103) Full Text: DOI
Strzodka, R.; Droske, M.; Rumpf, M. Image registration by a regularized gradient flow. A streaming implementation in DX9 graphics hardware. (English) Zbl 1061.65058 Computing 73, No. 4, 373-389 (2004). MSC: 65K10 65Y10 94A08 68U10 49J20 49M25 PDFBibTeX XMLCite \textit{R. Strzodka} et al., Computing 73, No. 4, 373--389 (2004; Zbl 1061.65058) Full Text: DOI
Droske, M.; Rumpf, M. A variational approach to nonrigid morphological image registration. (English) Zbl 1063.49013 SIAM J. Appl. Math. 64, No. 2, 668-687 (2004). MSC: 49J45 65M60 74B20 68U10 94A08 49N90 PDFBibTeX XMLCite \textit{M. Droske} and \textit{M. Rumpf}, SIAM J. Appl. Math. 64, No. 2, 668--687 (2004; Zbl 1063.49013) Full Text: DOI
Clarenz, Ulrich; Diewald, Udo; Rumpf, Martin A multiscale fairing method for textured surfaces. (English) Zbl 1061.65502 Hege, Hans-Christian (ed.) et al., Visualization and mathematics III. Outgrowth of the 3rd international workshop, Berlin, Germany, May 22–25, 2002. Berlin: Springer (ISBN 3-540-01295-8/hbk). 245-260, 427-428 (2003). MSC: 65D17 65D18 68U10 53C44 94A08 PDFBibTeX XMLCite \textit{U. Clarenz} et al., in: Visualization and mathematics III. Outgrowth of the 3rd international workshop, Berlin, Germany, May 22--25, 2002. Berlin: Springer. 245--260, 427--428 (2003; Zbl 1061.65502)
Mikula, Karol; Preußer, Tobias; Rumpf, Martin; Sgallari, Fiorella On anisotropic geometric diffusion in 3D image processing and image sequence analysis. (English) Zbl 1061.65096 Kirkilionis, Markus (ed.) et al., Trends in nonlinear analysis. On the occasion of the 60th birthday of Willi Jäger. Berlin: Springer (ISBN 3-540-44198-0/hbk). 307-321, 418-419 (2003). MSC: 65M60 35K90 94A08 68U10 65D18 PDFBibTeX XMLCite \textit{K. Mikula} et al., in: Trends in nonlinear analysis. On the occasion of the 60th birthday of Willi Jäger. Berlin: Springer. 307--321, 418--419 (2003; Zbl 1061.65096)
Clarenz, U.; Droske, M.; Rumpf, M. Towards fast non-rigid registration. (English) Zbl 1031.68132 Nashed, M. Zuhair (ed.) et al., Inverse problems, image analysis, and medical imaging. AMS special session on interaction of inverse problems and image analysis, New Orleans, LA, USA, January 10-13, 2001. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 313, 67-84 (2002). MSC: 68U10 65M30 65M32 65M55 62H35 68U05 PDFBibTeX XMLCite \textit{U. Clarenz} et al., Contemp. Math. 313, 67--84 (2002; Zbl 1031.68132)
Diewald, U.; Morigi, S.; Rumpf, M. A cascadic geometric filtering approach to subdivision. (English) Zbl 1043.68103 Comput. Aided Geom. Des. 19, No. 9, 675-694 (2002). MSC: 68U05 65D18 PDFBibTeX XMLCite \textit{U. Diewald} et al., Comput. Aided Geom. Des. 19, No. 9, 675--694 (2002; Zbl 1043.68103) Full Text: DOI
Preusser, Tobias; Rumpf, Martin A level set method for anisotropic geometric diffusion in 3D image processing. (English) Zbl 1007.68196 SIAM J. Appl. Math. 62, No. 5, 1772-1793 (2002). MSC: 68U10 94A08 65N30 PDFBibTeX XMLCite \textit{T. Preusser} and \textit{M. Rumpf}, SIAM J. Appl. Math. 62, No. 5, 1772--1793 (2002; Zbl 1007.68196) Full Text: DOI
Rumpf, M.; Strzodka, R. Nonlinear diffusion in graphics hardware. (English) Zbl 1016.68155 Ebert, David (ed.) et al., Data visualization 2001. Proceedings of the Joint Eurographics-IEEE TCVG symposium on visualization. Ascona, Switzerland, May 28-30, 2001. Wien: Springer. Eurographics. 75-84 (2001). MSC: 68U10 68M20 PDFBibTeX XMLCite \textit{M. Rumpf} and \textit{R. Strzodka}, in: Data visualization 2001. Proceedings of the Joint Eurographics-IEEE TCVG symposium on visualization. Ascona, Switzerland, May 28--30, 2001. Wien: Springer. 75--84 (2001; Zbl 1016.68155)
Diewald, U.; Preusser, T.; Rumpf, M.; Strzodka, R. Diffusion models and their accelerated solution in image and surface processing. (English) Zbl 0993.65109 Acta Math. Univ. Comen., New Ser. 70, No. 1, 15-31 (2001). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M60 35K55 65Y10 68U10 65D18 PDFBibTeX XMLCite \textit{U. Diewald} et al., Acta Math. Univ. Comen., New Ser. 70, No. 1, 15--31 (2001; Zbl 0993.65109) Full Text: EuDML
Droske, Marc; Meyer, Bernhard; Rumpf, Martin; Schaller, Carlo An adaptive level set method for medical image segmentation. (English) Zbl 0982.68546 Insana, M. (ed.), Information processing in medical imaging: 17th international conference, Davis, CA, USA, June 18-22, 2001. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2082, 416-422 (2001). MSC: 68U99 68U10 PDFBibTeX XMLCite \textit{M. Droske} et al., Lect. Notes Comput. Sci. None, 416--422 (2001; Zbl 0982.68546) Full Text: Link
Becker, Joachim; Preusser, Tobias; Rumpf, Martin PDE methods in flow simulation post processing. (English) Zbl 1060.76635 Comput. Vis. Sci. 3, No. 3, 159-167 (2000). MSC: 76M27 68U05 PDFBibTeX XMLCite \textit{J. Becker} et al., Comput. Vis. Sci. 3, No. 3, 159--167 (2000; Zbl 1060.76635) Full Text: DOI
Heußer, Norbert; Rumpf, Martin Efficient visualization of data on sparse grids. (English) Zbl 0940.68170 Hege, Hans-Christian (ed.) et al., Mathematical visualization. Algorithms, applications, and numerics. International workshop Visualization and mathematics, Berlin, Germany, September 16-19, 1997. Berlin: Springer. 31-44 (1998). MSC: 68U10 68U20 PDFBibTeX XMLCite \textit{N. Heußer} and \textit{M. Rumpf}, in: Mathematical visualization. Algorithms, applications, and numerics. International workshop Visualization and mathematics, Berlin, Germany, September 16--19, 1997. Berlin: Springer. 31--44 (1998; Zbl 0940.68170)
Ohlberger, M.; Rumpf, M. Hierarchical and adaptive visualization on nested grids. (English) Zbl 0944.65022 Computing 59, No. 4, 365-385 (1997). Reviewer: P.Matus (Minsk) MSC: 65D18 65N50 68U05 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{M. Rumpf}, Computing 59, No. 4, 365--385 (1997; Zbl 0944.65022) Full Text: DOI