Edit Profile Ronse, Christian Compute Distance To: Compute Author ID: ronse.christian Published as: Ronse, C.; Ronse, Christia; Ronse, Christian External Links: MGP Documents Indexed: 68 Publications since 1976, including 3 Books Reviewing Activity: 9 Reviews all top 5 Co-Authors 42 single-authored 7 Passat, Nicolas 7 Tajine, Mohamed 4 Couprie, Michel 4 Mazo, Loïc 4 Naegel, Benoît 3 Heijmans, Henk J. A. M. 2 Serra, Jean 2 Soler, Luna 1 Agnus, Vincent 1 Asano, Tetsuo 1 Davio, Marc 1 Decencière, Etienne 1 Klette, Reinhard 1 Lamy, J. 1 Najman, Laurent 1 Teitler, Rony 1 Wagner, Daniel all top 5 Serials 6 Journal of Mathematical Imaging and Vision 4 Bulletin de la Classe des Sciences. 5e Série 4 Applicable Algebra in Engineering, Communication and Computing 3 Archiv der Mathematik 3 Acta Applicandae Mathematicae 2 Discrete Applied Mathematics 2 Theoretical Computer Science 2 Order 2 Pattern Recognition 2 Computer Vision, Graphics, and Image Processing 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Lecture Notes in Computer Science 1 Acta Informatica 1 Discrete Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Philips Journal of Research 1 Information Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 SIAM Journal on Computing 1 Simon Stevin 1 Bulletin de la Société Matheḿatique de Belgique. Série B 1 CWI Quarterly 1 Signal Processing 1 IEEE Transactions on Pattern Analysis and Machine Intelligence 1 Pattern Recognition Letters 1 Journal of Algebraic Combinatorics 1 CVGIP: Image Understanding 1 Fundamenta Informaticae 1 Image Analysis & Stereology 1 Portugaliae Mathematica. Nova Série 1 Bulletin de la Société Mathématique de Belgique 1 Computational Imaging and Vision all top 5 Fields 46 Computer science (68-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 9 Information and communication theory, circuits (94-XX) 8 Group theory and generalizations (20-XX) 7 Combinatorics (05-XX) 6 Convex and discrete geometry (52-XX) 4 Mathematical logic and foundations (03-XX) 3 General and overarching topics; collections (00-XX) 3 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 51 Publications have been cited 302 times in 183 Documents Cited by ▼ Year ▼ The algebraic basis of mathematical morphology. I: Dilations and erosions. Zbl 0788.68158Heijmans, H. J. A. M.; Ronse, C. 55 1990 The algebraic basis of mathematical morphology. II: Openings and closings. Zbl 0788.68159Ronse, C.; Heijmans, H. J. A. M. 31 1991 Why mathematical morphology needs complete lattices. Zbl 0734.94001Ronse, C. 30 1990 A topological characterization of thinning. Zbl 0622.68072Ronse, Christian 16 1986 On homogeneous graphs. Zbl 0391.05045Ronse, Christian 13 1978 Digital imaging: a unified topological framework. Zbl 1255.68254Mazo, Loïc; Passat, Nicolas; Couprie, Michel; Ronse, Christian 10 2012 Discretization in Hausdorff space. Zbl 0952.68150Ronse, Christian; Tajine, Mohamed 10 2000 Minimal test patterns for connectivity preservation in parallel thinning algorithms for binary digital images. Zbl 0663.68119Ronse, Christian 10 1988 A bibliography on digital and computational convexity (1961-1988). Zbl 0659.68129Ronse, Christia 8 1989 Algebraic foundations of morphology. Zbl 1272.06012Ronse, Christian; Serra, Jean 7 2010 Grey-level hit-or-miss transforms. I: Unified theory. Zbl 1118.68179Naegel, Benoît; Passat, Nicolas; Ronse, Christian 7 2007 Ordering partial partitions for image segmentation and filtering: merging, creating and inflating blocks. Zbl 1291.68422Ronse, Christian 6 2014 Paths, homotopy and reduction in digital images. Zbl 1206.68337Mazo, Loïc; Passat, Nicolas; Couprie, Michel; Ronse, Christian 6 2011 Adjunctions on the lattices of partitions and of partial partitions. Zbl 1208.06003Ronse, Christian 6 2010 Grey-level hit-or-miss transforms. II: Application to angiographic image processing. Zbl 1118.68180Naegel, Benoît; Passat, Nicolas; Ronse, Christian 6 2007 Orders on partial partitions and maximal partitioning of sets. Zbl 1334.68285Ronse, Christian 5 2011 An isomorphism for digital images. Zbl 0587.68080Ronse, Christian 5 1985 A simple proof of Rosenfeld’s characterization of digital straight line segments. Zbl 0578.68074Ronse, Christian 5 1985 Feedback shift registers. Zbl 0537.68073Ronse, Christian 5 1984 Idempotent block splitting on partial partitions. II: Non-isotone operators. Zbl 1251.03051Ronse, Christian 4 2011 Idempotent block splitting on partial partitions. I: Isotone operators. Zbl 1251.03050Ronse, Christian 4 2011 Order-configuration functions: Mathematical characterizations and applications to digital signal and image processing. Zbl 0715.94008Ronse, Christian 4 1990 Geodesy and connectivity in lattices. Zbl 0991.68142Ronse, Christian; Serra, Jean 3 2001 Toggles of openings, and a new family of idempotent operators on partially ordered sets. Zbl 0764.06001Ronse, C. 3 1992 Criteria for approximation of linear and affine functions. Zbl 0566.52003Ronse, Christian 3 1986 A generalization of the perfect shuffle. Zbl 0534.05002Ronse, Christian 3 1983 On permutation groups of prime power order. Zbl 0424.20003Ronse, Christian 3 1980 On centralizers of involutions in 2-groups. Zbl 0409.20020Ronse, Christian 3 1979 Orders on partial partitions based on block apportioning. Zbl 1334.68286Ronse, Christian 2 2016 Topology on digital label images. Zbl 1255.68255Mazo, Loïc; Passat, Nicolas; Couprie, Michel; Ronse, Christian 2 2012 Reconstructing masks from markers in non-distributive lattices. Zbl 1154.68107Ronse, Christian 2 2008 Geometry, morphology, and computational imaging. 11th international workshop on theoretical foundations of computer vision, Dagstuhl Castle, Germany, April 7–12, 2002. Revised papers. Zbl 1017.00029Asano, Tetsuo (ed.); Klette, Reinhard (ed.); Ronse, Christian (ed.) 2 2003 Topological properties of Hausdorff discretization, and comparison to other discretization schemes. Zbl 1052.68134Tajine, Mohamed; Ronse, Christian 2 2002 Topological properties of Hausdorff discretizations. Zbl 1021.68098Tajine, Mohamed; Ronse, Christian 2 2000 Optimization of cost and delay in cellular permutation networks. Zbl 0497.94019Ronse, C. 2 1982 Groupes dans lesquels l’elevation à une puissance entière est un endomorphisme. Zbl 0379.20024Ronse, Christian; Teitler, Rony 2 1976 Orders for simplifying partial partitions. Zbl 1387.68288Ronse, Christian 1 2017 Closures on partial partitions from closures on sets. Zbl 1324.06004Ronse, Christian 1 2013 A unified topological framework for digital imaging. Zbl 1272.68437Mazo, Loïc; Passat, Nicolas; Couprie, Michel; Ronse, Christian 1 2011 The poset of closure systems on an infinite poset: detachability and semimodularity. Zbl 1210.06002Ronse, Christian 1 2010 Mathematical morphology: 40 years on. Proceedings of the 7th international Symposium on mathematical morphology, April 18–20, 2005. Zbl 1101.68932Ronse, Christian (ed.); Najman, Laurent (ed.); Decencière, Etienne (ed.) 1 2005 Flat morphological operators on arbitrary power lattices. Zbl 1032.68145Ronse, Christian 1 2003 Hausdorff discretizations of algebraic sets and Diophantine sets. Zbl 1043.68822Tajine, Mohamed; Ronse, Christian 1 2000 An approach to discretization based on the Hausdorff metric. Zbl 0926.68147Wagner, Daniel; Tajine, M.; Ronse, C. 1 1998 Removing and extracting features in images using mathematical morphology. Zbl 0913.68221Ronse, Christian 1 1998 A note on the approximation of linear and affine functions: The case of bounded slope. Zbl 0671.52004Ronse, Christian 1 1990 A strong chord property for 4-connected convex digital sets. Zbl 0631.68064Ronse, Christian 1 1986 Definitions of convexity and convex hulls in digital images. Zbl 0594.68059Ronse, Christian 1 1985 Rotator design. Zbl 0523.94033Davio, M.; Ronse, C. 1 1983 A three-stage construction for multiconnection networks. Zbl 0505.94032Ronse, Christian 1 1983 On finite permutation groups in which involutions fix at most 15 points. Zbl 0476.20006Ronse, Christian 1 1982 Orders for simplifying partial partitions. Zbl 1387.68288Ronse, Christian 1 2017 Orders on partial partitions based on block apportioning. Zbl 1334.68286Ronse, Christian 2 2016 Ordering partial partitions for image segmentation and filtering: merging, creating and inflating blocks. Zbl 1291.68422Ronse, Christian 6 2014 Closures on partial partitions from closures on sets. Zbl 1324.06004Ronse, Christian 1 2013 Digital imaging: a unified topological framework. Zbl 1255.68254Mazo, Loïc; Passat, Nicolas; Couprie, Michel; Ronse, Christian 10 2012 Topology on digital label images. Zbl 1255.68255Mazo, Loïc; Passat, Nicolas; Couprie, Michel; Ronse, Christian 2 2012 Paths, homotopy and reduction in digital images. Zbl 1206.68337Mazo, Loïc; Passat, Nicolas; Couprie, Michel; Ronse, Christian 6 2011 Orders on partial partitions and maximal partitioning of sets. Zbl 1334.68285Ronse, Christian 5 2011 Idempotent block splitting on partial partitions. II: Non-isotone operators. Zbl 1251.03051Ronse, Christian 4 2011 Idempotent block splitting on partial partitions. I: Isotone operators. Zbl 1251.03050Ronse, Christian 4 2011 A unified topological framework for digital imaging. Zbl 1272.68437Mazo, Loïc; Passat, Nicolas; Couprie, Michel; Ronse, Christian 1 2011 Algebraic foundations of morphology. Zbl 1272.06012Ronse, Christian; Serra, Jean 7 2010 Adjunctions on the lattices of partitions and of partial partitions. Zbl 1208.06003Ronse, Christian 6 2010 The poset of closure systems on an infinite poset: detachability and semimodularity. Zbl 1210.06002Ronse, Christian 1 2010 Reconstructing masks from markers in non-distributive lattices. Zbl 1154.68107Ronse, Christian 2 2008 Grey-level hit-or-miss transforms. I: Unified theory. Zbl 1118.68179Naegel, Benoît; Passat, Nicolas; Ronse, Christian 7 2007 Grey-level hit-or-miss transforms. II: Application to angiographic image processing. Zbl 1118.68180Naegel, Benoît; Passat, Nicolas; Ronse, Christian 6 2007 Mathematical morphology: 40 years on. Proceedings of the 7th international Symposium on mathematical morphology, April 18–20, 2005. Zbl 1101.68932Ronse, Christian (ed.); Najman, Laurent (ed.); Decencière, Etienne (ed.) 1 2005 Geometry, morphology, and computational imaging. 11th international workshop on theoretical foundations of computer vision, Dagstuhl Castle, Germany, April 7–12, 2002. Revised papers. Zbl 1017.00029Asano, Tetsuo (ed.); Klette, Reinhard (ed.); Ronse, Christian (ed.) 2 2003 Flat morphological operators on arbitrary power lattices. Zbl 1032.68145Ronse, Christian 1 2003 Topological properties of Hausdorff discretization, and comparison to other discretization schemes. Zbl 1052.68134Tajine, Mohamed; Ronse, Christian 2 2002 Geodesy and connectivity in lattices. Zbl 0991.68142Ronse, Christian; Serra, Jean 3 2001 Discretization in Hausdorff space. Zbl 0952.68150Ronse, Christian; Tajine, Mohamed 10 2000 Topological properties of Hausdorff discretizations. Zbl 1021.68098Tajine, Mohamed; Ronse, Christian 2 2000 Hausdorff discretizations of algebraic sets and Diophantine sets. Zbl 1043.68822Tajine, Mohamed; Ronse, Christian 1 2000 An approach to discretization based on the Hausdorff metric. Zbl 0926.68147Wagner, Daniel; Tajine, M.; Ronse, C. 1 1998 Removing and extracting features in images using mathematical morphology. Zbl 0913.68221Ronse, Christian 1 1998 Toggles of openings, and a new family of idempotent operators on partially ordered sets. Zbl 0764.06001Ronse, C. 3 1992 The algebraic basis of mathematical morphology. II: Openings and closings. Zbl 0788.68159Ronse, C.; Heijmans, H. J. A. M. 31 1991 The algebraic basis of mathematical morphology. I: Dilations and erosions. Zbl 0788.68158Heijmans, H. J. A. M.; Ronse, C. 55 1990 Why mathematical morphology needs complete lattices. Zbl 0734.94001Ronse, C. 30 1990 Order-configuration functions: Mathematical characterizations and applications to digital signal and image processing. Zbl 0715.94008Ronse, Christian 4 1990 A note on the approximation of linear and affine functions: The case of bounded slope. Zbl 0671.52004Ronse, Christian 1 1990 A bibliography on digital and computational convexity (1961-1988). Zbl 0659.68129Ronse, Christia 8 1989 Minimal test patterns for connectivity preservation in parallel thinning algorithms for binary digital images. Zbl 0663.68119Ronse, Christian 10 1988 A topological characterization of thinning. Zbl 0622.68072Ronse, Christian 16 1986 Criteria for approximation of linear and affine functions. Zbl 0566.52003Ronse, Christian 3 1986 A strong chord property for 4-connected convex digital sets. Zbl 0631.68064Ronse, Christian 1 1986 An isomorphism for digital images. Zbl 0587.68080Ronse, Christian 5 1985 A simple proof of Rosenfeld’s characterization of digital straight line segments. Zbl 0578.68074Ronse, Christian 5 1985 Definitions of convexity and convex hulls in digital images. Zbl 0594.68059Ronse, Christian 1 1985 Feedback shift registers. Zbl 0537.68073Ronse, Christian 5 1984 A generalization of the perfect shuffle. Zbl 0534.05002Ronse, Christian 3 1983 Rotator design. Zbl 0523.94033Davio, M.; Ronse, C. 1 1983 A three-stage construction for multiconnection networks. Zbl 0505.94032Ronse, Christian 1 1983 Optimization of cost and delay in cellular permutation networks. Zbl 0497.94019Ronse, C. 2 1982 On finite permutation groups in which involutions fix at most 15 points. Zbl 0476.20006Ronse, Christian 1 1982 On permutation groups of prime power order. Zbl 0424.20003Ronse, Christian 3 1980 On centralizers of involutions in 2-groups. Zbl 0409.20020Ronse, Christian 3 1979 On homogeneous graphs. Zbl 0391.05045Ronse, Christian 13 1978 Groupes dans lesquels l’elevation à une puissance entière est un endomorphisme. Zbl 0379.20024Ronse, Christian; Teitler, Rony 2 1976 all cited Publications top 5 cited Publications all top 5 Cited by 230 Authors 25 Ronse, Christian 12 Passat, Nicolas 9 Bloch, Isabelle 9 Sussner, Peter 7 Couprie, Michel 7 Mazo, Loïc 6 Bertrand, Gilles 6 Najman, Laurent 5 Boutry, Nicolas 5 Palágyi, Kálmán 4 Angulo, Jesús 4 Géraud, Thierry 4 Han, Sang-Eon 4 Kardos, Peter 4 Kenmochi, Yukiko 4 Valle, Marcos Eduardo 3 Bustince, Humberto 3 Cousty, Jean 3 De Miguel, Laura 3 Devillers, Alice 3 Dougherty, Edward R. 3 Esmi, Estevão Laureano 3 Medina, Jesús 3 Naegel, Benoît 3 Ngo, Phuc 3 Soille, Pierre 2 Aptoula, Erchan 2 Araújo, Ricardo de A. 2 Balakrishnan, Kannan 2 Bhowmick, Partha 2 Brunetti, Sara 2 Crombez, Loïc 2 da Fonseca, Guilherme Dias 2 Dejter, Italo Jose 2 Escribano, Carmen 2 Gérard, Yan 2 Giraldo, Antonio 2 Gray, Robert D. 2 Günther, Bernd 2 Hamann, Matthias 2 Hsueh, Yuang-Cheh 2 Kerre, Etienne E. 2 Klette, Reinhard 2 Lefèvre, Sébastien 2 Lohou, Christophe 2 Madrid, Nicolás 2 Mélange, Tom 2 Nachtegael, Mike 2 Pal, Shyamosree 2 Perret, Benjamin 2 Rosenfeld, Azriel 2 Roussillon, Tristan 2 Sastre, María Asunción 2 Serra, Jean 2 Singh, Surjeet 2 Unnikrishnan, Avittathur 2 Veelaert, Peter 2 Velasco-Forero, Santiago 2 Wild, Marcel 1 Abdalla, Mohsen 1 Adamatzky, Andrew I. 1 Aiello, Marco 1 Akgüller, Ömer 1 Akil, Mohamed 1 Akinwande, Mufutau 1 Alain, Mathieu 1 Alhakim, Abbas M. 1 Amanatiadis, Angelos 1 Andres, Eric 1 Baddeley, Adrian John 1 Bak Shnaps, Daniella 1 Balazs, Peter 1 Balcı, Mehmet Ali 1 Bar-Hen, Avner 1 Baudrier, Étienne 1 Baumeister, Barbara 1 Bedregal, Benjamín R. Callejas 1 Bezhanishvili, Guram 1 Bosilj, Petra 1 Bragard, Jean 1 Bretto, Alain 1 Breuß, Michael 1 Buekenhout, Francis 1 Burness, Timothy C. 1 Burusco, Ana 1 Campiotti, Israel 1 Carlinet, Edwin 1 Carmona, Neus 1 Casacuberta, Carles 1 Charif-Chefchaouni, Mohammed 1 Chatterjee, Saptarshi 1 Chevallier, Emmanuel 1 Chyba, Monique 1 Collet, Christophe 1 Culler, Kristen W. 1 Dalla Mura, Mauro 1 Damodaran, Bharath Bhushan 1 D’angeli, Daniele 1 Daurat, Alain 1 De Baets, Bernard ...and 130 more Authors all top 5 Cited in 61 Serials 43 Journal of Mathematical Imaging and Vision 12 Discrete Applied Mathematics 10 Information Sciences 7 Fuzzy Sets and Systems 7 Pattern Recognition 6 Theoretical Computer Science 5 Archiv der Mathematik 5 International Journal of Approximate Reasoning 4 Applicable Algebra in Engineering, Communication and Computing 3 Discrete Mathematics 3 Journal of Combinatorial Theory. Series B 3 Acta Applicandae Mathematicae 3 Neural Networks 3 Linear Algebra and its Applications 2 Journal of Combinatorial Theory. Series A 2 Journal of Computer and System Sciences 2 Journal of Graph Theory 2 Circuits, Systems, and Signal Processing 2 Order 2 Journal of Algebraic Combinatorics 1 Acta Informatica 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Algebra Universalis 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of Soviet Mathematics 1 Mathematische Zeitschrift 1 Quaestiones Mathematicae 1 Synthese 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Combinatorica 1 Discrete & Computational Geometry 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 SIAM Journal on Discrete Mathematics 1 MCSS. Mathematics of Control, Signals, and Systems 1 Multidimensional Systems and Signal Processing 1 Journal of Intelligent & Robotic Systems 1 Computational Geometry 1 International Journal of Algebra and Computation 1 Designs, Codes and Cryptography 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Set-Valued Analysis 1 Journal of Applied Non-Classical Logics 1 International Journal of Computer Vision 1 Computational and Applied Mathematics 1 Journal of Combinatorial Designs 1 Annals of Mathematics and Artificial Intelligence 1 International Journal of Applied Mathematics and Computer Science 1 Advances in Geometry 1 Discrete and Continuous Dynamical Systems. Series B 1 Mathematics in Computer Science 1 Albanian Journal of Mathematics 1 SIAM Journal on Imaging Sciences 1 Groups, Complexity, Cryptology 1 ISRN Discrete Mathematics 1 Journal of Logical and Algebraic Methods in Programming all top 5 Cited in 27 Fields 115 Computer science (68-XX) 30 Information and communication theory, circuits (94-XX) 22 Combinatorics (05-XX) 20 Order, lattices, ordered algebraic structures (06-XX) 15 Mathematical logic and foundations (03-XX) 12 Group theory and generalizations (20-XX) 9 Convex and discrete geometry (52-XX) 7 General topology (54-XX) 7 Numerical analysis (65-XX) 6 Algebraic topology (55-XX) 6 Systems theory; control (93-XX) 5 Geometry (51-XX) 4 Statistics (62-XX) 4 Biology and other natural sciences (92-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year