Boutry, Nicolas; Géraud, Thierry; Najman, Laurent An equivalence relation between morphological dynamics and persistent homology in \(n\)-D. (English) Zbl 1484.68289 Lindblad, Joakim (ed.) et al., Discrete geometry and mathematical morphology. First international joint conference, DGMM 2021, Uppsala, Sweden, May 24–27, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12708, 525-537 (2021). MSC: 68U10 55N31 57Q70 PDFBibTeX XMLCite \textit{N. Boutry} et al., Lect. Notes Comput. Sci. 12708, 525--537 (2021; Zbl 1484.68289) Full Text: DOI
Boutry, Nicolas; Géraud, Thierry A new matching algorithm between trees of shapes and its application to brain tumor segmentation. (English) Zbl 1484.68288 Lindblad, Joakim (ed.) et al., Discrete geometry and mathematical morphology. First international joint conference, DGMM 2021, Uppsala, Sweden, May 24–27, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12708, 67-78 (2021). MSC: 68U10 68T10 92C55 PDFBibTeX XMLCite \textit{N. Boutry} and \textit{T. Géraud}, Lect. Notes Comput. Sci. 12708, 67--78 (2021; Zbl 1484.68288) Full Text: DOI
Boutry, Nicolas; Najman, Laurent; Géraud, Thierry Equivalence between digital well-composedness and well-composedness in the sense of Alexandrov on \(n\)-d cubical grids. (English) Zbl 1497.68508 J. Math. Imaging Vis. 62, No. 9, 1285-1333 (2020). MSC: 68U03 54H30 68U05 68U10 PDFBibTeX XMLCite \textit{N. Boutry} et al., J. Math. Imaging Vis. 62, No. 9, 1285--1333 (2020; Zbl 1497.68508) Full Text: DOI
Boutry, Nicolas; Najman, Laurent; Géraud, Thierry Topological properties of the first non-local digitally well-composed interpolation on \(n\)-D cubical grids. (English) Zbl 1497.68507 J. Math. Imaging Vis. 62, No. 9, 1256-1284 (2020). MSC: 68U03 68U10 PDFBibTeX XMLCite \textit{N. Boutry} et al., J. Math. Imaging Vis. 62, No. 9, 1256--1284 (2020; Zbl 1497.68507) Full Text: DOI
Carlinet, Edwin; Géraud, Thierry Introducing multivariate connected openings and closings. (English) Zbl 1445.68282 Burgeth, Bernhard (ed.) et al., Mathematical morphology and its applications to signal and image processing. 14th international symposium, ISMM 2019, Saarbrücken, Germany, July 8–10, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11564, 215-227 (2019). MSC: 68U10 PDFBibTeX XMLCite \textit{E. Carlinet} and \textit{T. Géraud}, Lect. Notes Comput. Sci. 11564, 215--227 (2019; Zbl 1445.68282) Full Text: DOI
Boutry, Nicolas; Géraud, Thierry; Najman, Laurent An equivalence relation between morphological dynamics and persistent homology in 1D. (English) Zbl 1445.68244 Burgeth, Bernhard (ed.) et al., Mathematical morphology and its applications to signal and image processing. 14th international symposium, ISMM 2019, Saarbrücken, Germany, July 8–10, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11564, 57-68 (2019). MSC: 68U05 55N31 58E05 68U10 PDFBibTeX XMLCite \textit{N. Boutry} et al., Lect. Notes Comput. Sci. 11564, 57--68 (2019; Zbl 1445.68244) Full Text: DOI HAL
Boutry, Nicolas; Géraud, Thierry; Najman, Laurent How to make \(n\)-D plain maps defined on discrete surfaces Alexandrov-well-composed in a self-dual way. (English) Zbl 1446.68176 J. Math. Imaging Vis. 61, No. 6, 849-873 (2019). MSC: 68U10 68U03 68U05 PDFBibTeX XMLCite \textit{N. Boutry} et al., J. Math. Imaging Vis. 61, No. 6, 849--873 (2019; Zbl 1446.68176) Full Text: DOI
Boutry, Nicolas; Géraud, Thierry; Najman, Laurent A tutorial on well-composedness. (English) Zbl 1435.68337 J. Math. Imaging Vis. 60, No. 3, 443-478 (2018). Reviewer: Christian Ronse (Strasbourg) MSC: 68U03 05C40 57M15 68U10 PDFBibTeX XMLCite \textit{N. Boutry} et al., J. Math. Imaging Vis. 60, No. 3, 443--478 (2018; Zbl 1435.68337) Full Text: DOI HAL
Xu, Yongchao; Carlinet, Edwin; Géraud, Thierry; Najman, Laurent Efficient computation of attributes and saliency maps on tree-based image representations. (English) Zbl 1445.68270 Benediktsson, Jón Atli (ed.) et al., Mathematical morphology and its applications to signal and image processing. 12th international symposium, ISMM 2015, Reykjavik, Iceland, May 27–29, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9082, 693-704 (2015). MSC: 68U05 68U10 68W40 PDFBibTeX XMLCite \textit{Y. Xu} et al., Lect. Notes Comput. Sci. 9082, 693--704 (2015; Zbl 1445.68270) Full Text: DOI HAL
Géraud, Thierry; Carlinet, Edwin; Crozet, Sébastien Self-duality and digital topology: links between the morphological tree of shapes and well-composed gray-level images. (English) Zbl 1445.68253 Benediktsson, Jón Atli (ed.) et al., Mathematical morphology and its applications to signal and image processing. 12th international symposium, ISMM 2015, Reykjavik, Iceland, May 27–29, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9082, 573-584 (2015). MSC: 68U05 68U03 68U10 PDFBibTeX XMLCite \textit{T. Géraud} et al., Lect. Notes Comput. Sci. 9082, 573--584 (2015; Zbl 1445.68253) Full Text: DOI HAL
Boutry, Nicolas; Géraud, Thierry; Najman, Laurent How to make \(n\)D functions digitally well-composed in a self-dual way. (English) Zbl 1445.68243 Benediktsson, Jón Atli (ed.) et al., Mathematical morphology and its applications to signal and image processing. 12th international symposium, ISMM 2015, Reykjavik, Iceland, May 27–29, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9082, 561-572 (2015). MSC: 68U05 68U03 68U10 PDFBibTeX XMLCite \textit{N. Boutry} et al., Lect. Notes Comput. Sci. 9082, 561--572 (2015; Zbl 1445.68243) Full Text: DOI
Carlinet, Edwin; Géraud, Thierry A color tree of shapes with illustrations on filtering, simplification, and segmentation. (English) Zbl 1445.68281 Benediktsson, Jón Atli (ed.) et al., Mathematical morphology and its applications to signal and image processing. 12th international symposium, ISMM 2015, Reykjavik, Iceland, May 27–29, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9082, 363-374 (2015). MSC: 68U10 68U05 94A08 PDFBibTeX XMLCite \textit{E. Carlinet} and \textit{T. Géraud}, Lect. Notes Comput. Sci. 9082, 363--374 (2015; Zbl 1445.68281) Full Text: DOI HAL
Boutry, Nicolas; Géraud, Thierry; Najman, Laurent On making \(n\)D images well-composed by a self-dual local interpolation. (English) Zbl 1417.68259 Barcucci, Elena (ed.) et al., Discrete geometry for computer imagery. 18th IAPR international conference, DGCI 2014, Siena, Italy, September 10–12, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8668, 320-331 (2014). MSC: 68U10 68U05 PDFBibTeX XMLCite \textit{N. Boutry} et al., Lect. Notes Comput. Sci. 8668, 320--331 (2014; Zbl 1417.68259) Full Text: DOI
Xu, Yongchao; Géraud, Thierry; Najman, Laurent Two applications of shape-based morphology: blood vessels segmentation and a generalization of constrained connectivity. (English) Zbl 1382.68317 Hendriks, Cris L. Luengo (ed.) et al., Mathematical morphology and its applications to signal and image processing. 11th international symposium, ISMM 2013, Uppsala, Sweden, May 27–29, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-38293-2/pbk). Lecture Notes in Computer Science 7883, 390-401 (2013). MSC: 68U10 68P05 92C55 94A08 PDFBibTeX XMLCite \textit{Y. Xu} et al., Lect. Notes Comput. Sci. 7883, 390--401 (2013; Zbl 1382.68317) Full Text: DOI HAL
Géraud, Thierry; Carlinet, Edwin; Crozet, Sébastien; Najman, Laurent A quasi-linear algorithm to compute the tree of shapes of \(n\)D images. (English) Zbl 1382.68261 Hendriks, Cris L. Luengo (ed.) et al., Mathematical morphology and its applications to signal and image processing. 11th international symposium, ISMM 2013, Uppsala, Sweden, May 27–29, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-38293-2/pbk). Lecture Notes in Computer Science 7883, 98-110 (2013). MSC: 68U05 68U10 PDFBibTeX XMLCite \textit{T. Géraud} et al., Lect. Notes Comput. Sci. 7883, 98--110 (2013; Zbl 1382.68261) Full Text: DOI
Carlinet, Edwin; Géraud, Thierry A comparison of many max-tree computation algorithms. (English) Zbl 1382.94011 Hendriks, Cris L. Luengo (ed.) et al., Mathematical morphology and its applications to signal and image processing. 11th international symposium, ISMM 2013, Uppsala, Sweden, May 27–29, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-38293-2/pbk). Lecture Notes in Computer Science 7883, 73-85 (2013). MSC: 94A08 68U10 PDFBibTeX XMLCite \textit{E. Carlinet} and \textit{T. Géraud}, Lect. Notes Comput. Sci. 7883, 73--85 (2013; Zbl 1382.94011) Full Text: DOI HAL
Najman, Laurent; Géraud, Thierry Discrete set-valued continuity and interpolation. (English) Zbl 1382.68269 Hendriks, Cris L. Luengo (ed.) et al., Mathematical morphology and its applications to signal and image processing. 11th international symposium, ISMM 2013, Uppsala, Sweden, May 27–29, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-38293-2/pbk). Lecture Notes in Computer Science 7883, 37-48 (2013). MSC: 68U05 68U10 PDFBibTeX XMLCite \textit{L. Najman} and \textit{T. Géraud}, Lect. Notes Comput. Sci. 7883, 37--48 (2013; Zbl 1382.68269) Full Text: DOI
Géraud, Thierry; Talbot, Hugues; van Droogenbroeck, Marc Algorithms for mathematical morphology. Adapted and updated from the two French volumes edited 2008 and 2010. (English) Zbl 1219.68162 Najman, Laurent (ed.) et al., Mathematical morphology. From theory to applications. London: ISTE; Hoboken, NJ: John Wiley & Sons (ISBN 978-1-84821-215-2/hbk). 323-353 (2010). MSC: 68U10 68P05 68W99 94A08 PDFBibTeX XMLCite \textit{T. Géraud} et al., in: Mathematical morphology. From theory to applications. London: ISTE; Hoboken, NJ: John Wiley \& Sons. 323--353 (2010; Zbl 1219.68162)