Found 115 Documents (Results 1–100)
On the topology of the Reeb graph. (English) Zbl 07857960
Reviewer: Mihai Turinici (Iaşi)
Realization of a digraph as the Reeb graph of a Morse-Bott function on a given surface. (English) Zbl 1531.05102
Reviewer: V. Yegnanarayanan (Chennai)
On Reeb graphs induced from smooth functions on 3-dimensional closed manifolds which may not be orientable. (English) Zbl 07877801
Realization of a graph as the Reeb graph of a height function on an embedded surface. (English) Zbl 1533.57067
Reviewer: Dahisy Lima (Santo André)
Reeb graphs of circle-valued functions: a survey and basic facts. (English) Zbl 1523.57032
Reviewer: Dorin Andrica (Riyadh)
Real algebraic functions on closed manifolds whose Reeb graphs are given graphs. (English) Zbl 07799315
Topological classification of circle-valued simple Morse-Bott functions on closed orientable surfaces. (English) Zbl 1540.58022
On Reeb graphs induced from smooth functions on 3-dimensional closed manifolds with finitely many singular values. (English) Zbl 1505.57040
Reviewer: Dorin Andrica (Riyadh)
Reeb spaces of smooth functions on manifolds. (English) Zbl 1501.57028
Reviewer: Thomas J. Bartsch (Gießen)
Realization of a graph as the Reeb graph of a Morse-Bott or a round function. (English) Zbl 1524.57014
Computational topology for data analysis. (English) Zbl 1498.57001
Cambridge: Cambridge University Press (ISBN 978-1-00-909816-8/hbk; 978-1-00-909995-0/ebook). xx, 434 p. (2022).
Reviewer: Nicholas A. Scoville (Collegeville)
The Reeb graph edit distance is universal. (English) Zbl 1485.55006
Reviewer: Shiquan Ren (Singapore)
Non-singular extensions of Morse functions on disconnected surfaces. (English) Zbl 1479.57071
Reviewer: Dahisy Lima (Santo André)
Probabilistic convergence and stability of random mapper graphs. (English) Zbl 1482.55006
Reviewer: Bastian Rieck (Bern)
Combinatorial modifications of Reeb graphs and the realization problem. (English) Zbl 1465.57099
Reviewer: Irina Gelbukh (Ciudad de México)
Automorphisms of cellular divisions of 2-sphere induced by functions with isolated critical points. (English) Zbl 1482.57024
Reviewer: Irina Gelbukh (Ciudad de México)
Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-torus. (English) Zbl 1463.57010
Reviewer: Anatoly N. Kochubei (Kyïv)
Loops in generalized Reeb graphs associated to stable circle-valued functions. (English) Zbl 1451.05124
Automorphisms of Kronrod-Reeb graphs of Morse functions on compact surfaces. (English) Zbl 07189615
Reviewer: Zdzisław Dzedzej (Gdańsk)
Approximation of metric spaces by Reeb graphs: cycle rank of a Reeb graph, the co-rank of the fundamental group, and large components of level sets on Riemannian manifolds. (English) Zbl 1513.58005
Resource efficient finite element computing on multicore architectures. (Russian. English summary) Zbl 1453.65410
Simple Morse functions on an oriented surface with boundary. (English) Zbl 1459.57033
Reviewer: Dahisy Lima (Santo André)
Homotopy properties of smooth functions on the Möbius band. (English) Zbl 1456.57027
Reviewer: Dorin Andrica (Riyadh)
Maintaining Reeb graphs of triangulated 2-manifolds. (English) Zbl 1491.68053
Lokam, Satya (ed.) et al., 37th IARCS annual conference on foundations of software technology and theoretical computer science, FSTTCS 2017, IIT Kanpur, India, December 12–14, 2017. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 93, Article 8, 14 p. (2018).
Realization of a graph as the Reeb graph of a Morse function on a manifold. (English) Zbl 1425.58022
Reviewer: Dorin Andrica (Riyadh)
Combinatorial models in the topological classification of singularities of mappings. (English) Zbl 1405.58021
Araújo dos Santos, Raimundo Nonato (ed.) et al., Singularities and foliations. Geometry, topology and applications. BMMS 2/NBMS 3, Salvador, Brazil, 2015. Proceedings of the 3rd singularity theory meeting, ENSINO, July 8–11, 2015 and the Brazil-Mexico 2nd meeting of singularities, July 13–17, 2015. Cham: Springer (ISBN 978-3-319-73638-9/hbk; 978-3-319-73639-6/ebook). Springer Proceedings in Mathematics & Statistics 222, 3-49 (2018).
Structure and stability of the one-dimensional Mapper. (English) Zbl 1412.55017
Reviewer: James Peters (Winnipeg)
Topological classification of circle-valued simple Morse-Bott functions. (English) Zbl 1407.58013
Reviewer: Dorin Andrica (Riyadh)
The Reeb graph of a map germ from \(\mathbb {R}^3\) to \(\mathbb {R}^2\) with non isolated zeros. (English) Zbl 1415.58022
Reviewer: Raúl Oset Sinha (València)
Topological analysis of voxelized objects by discrete geodesic Reeb graph. (English) Zbl 1390.68708
MSC:
68U05
Width of a satellite knot and its companion. (English) Zbl 1386.57010
Reviewer: Kenneth A. Perko Jr. (New York)
MSC:
57M25
57M27
Topological data analysis for scientific visualization. (English) Zbl 1387.00020
Mathematics and Visualization. Cham: Springer (ISBN 978-3-319-71506-3/hbk; 978-3-319-71507-0/ebook). xv, 150 p. (2017).
Reviewer: Irina Ioana Mohorianu (Norwich)
Theory of singular fibers and Reeb spaces for visualization. (English) Zbl 1375.57001
Carr, Hamish (ed.) et al., Topological methods in data analysis and visualization IV. Theory, algorithms, and applications. Selected papers based on the presentations at the TopoInVis workshop, Annweiler, Germany, 2015. Cham: Springer (ISBN 978-3-319-44682-0/hbk; 978-3-319-44684-4/ebook). Mathematics and Visualization, 3-33 (2017).
The Reeb graph of a map germ from \(\mathbb{R}^3\) to \(\mathbb{R}^2\) with isolated zeros. (English) Zbl 1376.58016
Reviewer: Ayse Sharland (Narragansett)
Structure and stability of the 1-dimensional mapper. (English) Zbl 1387.68247
Fekete, Sándor (ed.) et al., 32nd international symposium on computational geometry, SoCG’16, Boston, MA, USA, June 14–17, 2016. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-009-5). LIPIcs – Leibniz International Proceedings in Informatics 51, Article 25, 16 p. (2016).
Cobordism group of Morse functions on surfaces with boundary. (English) Zbl 1376.57035
Nabarro, Ana Claudia (ed.) et al., Real and complex singularities. XIII international workshop on real and complex singularities, São Carlos, Brazil, July 27 – August 8, 2014 in honor of María del Carmen Romero Fuster’s 60th birthday. Proceedings. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME) (ISBN 978-1-4704-2205-9/pbk; 978-1-4704-3558-5/ebook). Contemporary Mathematics 675, 279-297 (2016).
Reviewer: Dorin Andrica (Riyadh)
Coadjoint orbits of symplectic diffeomorphisms of surfaces and ideal hydrodynamics. (Orbites coadjointes des difféomorphismes symplectiques des surfaces et hydrodynamique idéale.) (English. French summary) Zbl 1372.37106
Reviewer: Marco Modugno (Firenze)
Multivariate topology simplification. (English) Zbl 1367.65027
Reviewer: Jason Hanson (Redmond)
Categorified Reeb graphs. (English) Zbl 1350.68271
Robust computations of Reeb graphs in 2-D binary images. (English) Zbl 1339.68295
Bac, Alexandra (ed.) et al., Computational topology in image context. 6th international workshop, CTIC 2016, Marseille, France, June 15–17, 2016. Proceedings. Cham: Springer (ISBN 978-3-319-39440-4/pbk; 978-3-319-39441-1/ebook). Lecture Notes in Computer Science 9667, 204-215 (2016).
Reeb graph based segmentation of articulated components of 3D digital objects. (English) Zbl 1338.68264
Reeb graphs through local binary patterns. (English) Zbl 1437.68161
Liu, Cheng-Lin (ed.) et al., Graph-based representations in pattern recognition. 10th IAPR-TC-15 international workshop, GbRPR 2015, Beijing, China, May 13–15, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9069, 54-63 (2015).
Strong equivalence of the interleaving and functional distortion metrics for Reeb graphs. (English) Zbl 1382.58010
Arge, Lars (ed.) et al., 31st international symposium on computational geometry, SoCG’15, Eindhoven, Netherlands, June 22–25, 2015. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-939897-83-5). LIPIcs – Leibniz International Proceedings in Informatics 34, 461-475 (2015).
On representation of the Reeb graph as a sub-complex of manifold. (English) Zbl 1376.57037
Reviewer: Thomas J. Bartsch (Gießen)
Deformation of smooth functions on 2-torus the Kronrod-Reeb graph of which is a tree. (Ukrainian. English summary) Zbl 1363.57009
MSC:
57S05
On topological equivalence of pseudo-harmonic functions of common position on the plane. (Ukrainian. English summary) Zbl 1363.54030
Kronrod-Reeb graphs of functions on noncompact two-dimensional surfaces. I. (English. Russian original) Zbl 1359.26017
Ukr. Math. J. 67, No. 3, 431-454 (2015); translation from Ukr. Mat. Zh. 67, No. 3, 375-396 (2015).
Reviewer: Aleksandr G. Aleksandrov (Moskva)
Smooth functions on 2-torus whose Kronrod-Reeb graph contains a cycle. (English) Zbl 1340.57009
Reviewer: Anatoly N. Kochubei (Kyïv)
Gromov-Hausdorff approximation of filamentary structures using Reeb-type graphs. (English) Zbl 1315.68252
The JS-graphs of join and split trees (extended abstract). (English) Zbl 1395.68317
Proceedings of the 30th annual symposium on computational geometry, SoCG ’14, Kyoto, Japan, June 8–11, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2594-3). 539-548 (2014).
Gromov-Hausdorff approximation of filament structure using Reeb-type graph (extended abstract). (English) Zbl 1395.68296
Proceedings of the 30th annual symposium on computational geometry, SoCG ’14, Kyoto, Japan, June 8–11, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2594-3). 491-500 (2014).
Segmentation of 3D articulated components by slice-based vertex-weighted Reeb graph. (English) Zbl 1417.68264
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, 370-383 (2014).
Topological equivalence of harmonic polynomials. (Russian. English summary) Zbl 1289.58020
Topological classification of functions. (Russian. English summary) Zbl 1289.58019
Mathematical foundations for designing a 3-dimensional sketch book. (English) Zbl 1267.68301
Gavrilova, Marina L. (ed.) et al., Transactions on Computational Science XVIII. Special issue on cyberworlds. Berlin: Springer (ISBN 978-3-642-38802-6/pbk). Lecture Notes in Computer Science 7848. Journal Subline, 41-60 (2013).
A deterministic \(O(m \log m)\) time algorithm for the Reeb graph. (English) Zbl 1293.05193
Proceedings of the 28th annual symposium on computational geometry, SoCG 2012, Chapel Hill, NC, USA, June 17–20, 2012. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-1299-8). 269-276 (2012).
Enhanced topology-sensitive clustering by Reeb graph shattering. (English) Zbl 1246.68240
Peikert, Ronald (ed.) et al., Topological methods in data analysis and visualization II. Theory, algorithms, and applications. Based on the 4th workshop on topology-based methods in data analysis and visualization, TopoInVis 2011, Zurich, Switzerland, April 4–6, 2011. Berlin: Springer (ISBN 978-3-642-23174-2/hbk; 978-3-642-23175-9/ebook). Mathematics and Visualization, 77-90 (2012).
Graph matching a skeletonized theoretical morphospace with a cladogram for gomphonemoid-cymbelloid diatoms (Bacillariophyta). (English) Zbl 1404.92030
Reeb graphs, approximation and persistence. (English) Zbl 1283.68356
Proceedings of the 27th annual symposium on computational geometry, SoCG 2011, Paris, France, June 13–15, 2011. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0682-9). 226-235 (2011).
An estimation of Hempel distance by using Reeb graph. (English) Zbl 1228.57008
Reviewer: Lee P. Neuwirth (Princeton)
Computer modeling of curves and surfaces. (English. Russian original) Zbl 1221.37055
J. Math. Sci., New York 172, No. 5, 663-689 (2011); translation from Fundam. Prikl. Mat. 15, No. 5, 63-94 (2009).
A smooth function on a manifold with given Reeb graph. (English) Zbl 1277.58022
Reviewer: Pasquale Candito (Reggio Calabria)
A randomized \(O(m \log m)\) time algorithm for computing Reeb graphs of arbitrary simplicial complexes. (English) Zbl 1284.68600
Proceedings of the 26th annual symposium on computational geometry, SoCG 2010, Snowbird, UT, USA, June 13–16, 2010. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0016-2). 267-276 (2010).
Constructing Reeb graphs using cylinder maps. (English) Zbl 1284.68593
Proceedings of the 26th annual symposium on computational geometry, SoCG 2010, Snowbird, UT, USA, June 13–16, 2010. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0016-2). 111-112 (2010).
The global classification of functions with simple singularities on surfaces. (Ukrainian. English summary) Zbl 1199.57022
On the pseudoharmonic functions. (English) Zbl 1189.37053
Kubarski, Jan (ed.) et al., Special issue: Proceedings of the 8th conference on geometry and topology of manifolds (Lie algebroids, dynamical systems and applications), Luxembourg-Poland-Ukraine conference, Przemyśl, Poland, L’viv, Ukraine, April 30–May 6, 2007. Luxembourg: University of Luxembourg, Faculty of Science, Technology and Communication (ISBN 978-2-87971-025-9/pbk). Travaux Mathématiques 18, 93-101 (2008).
Reviewer: Jorge F. Yazlle (Salta)
MSC:
37F20
Reeb graphs for shape analysis and applications. (English) Zbl 1134.68064
MSC:
68U10
The genus of a digital image boundary is determined by its foreground, background, and Reeb graphs. (English) Zbl 1124.94001
Reviewer: Agnieszka Lisowska (Sosnowiec)
On the classification of \(m\)-functions on noncompact surfaces. (Ukrainian. English summary) Zbl 1114.58008
MSC:
58E05
About Kronrod-Reeb graph of a function on a manifold. (English) Zbl 1114.57034
Reviewer: Anatoly N. Kochubei (Kyïv)
Systoles of 2-complexes, Reeb graph, and Grushko decomposition. (English) Zbl 1116.57001
Reviewer: James Hebda (St. Louis)
MSC:
57M05
57M20
Realization of continuous functions by Kronrod-Reeb graphs. (Ukrainian. English summary) Zbl 1090.58506
MSC:
58K05
Cobordism group of Morse functions on unoriented surfaces. (English) Zbl 1088.57022
Reviewer: Michael Farber (Zürich)
The augmented multiresolution Reeb graph approach for content-based retrieval of 3D shapes. (English) Zbl 1122.68564
Time-varying Reeb graphs for continuous space-time data. (English) Zbl 1377.68271
Proceedings of the 20th annual symposium on computational geometry, SCG/SoCG 2004, Brooklyn, NY, USA, June 8–11, 2004. New York, NY: Association for Computing Machinery (ACM) (ISBN 1-58113-885-7). 366-372 (2004).
Loops in Reeb graphs of 2-manifolds. (English) Zbl 1071.57017
Reviewer: Mustafa Korkmaz (Ankara)
Loops in Reeb graphs of 2-manifolds. (English) Zbl 1379.57025
Proceedings of the 19th annual symposium on computational geometry, SCG/SoCG 2003, San Diego, CA, USA, June 8–10, 2003. New York, NY: Association for Computing Machinery (ACM) (ISBN 1-58113-663-3). 344-350 (2003).
Morse functions on noncompact surfaces. (Russian) Zbl 1099.58502
Ukrainian mathematical congress – 2001, Kiev, Ukraine, August 21–23, 2001. Proceedings. Section 12. Topology and geometry. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-0000-0). 91-102 (2003).
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