Edit Profile (opens in new tab) Chirikjian, Gregory S. Co-Author Distance Author ID: chirikjian.gregory-s Published as: Chirikjian, Gregory S.; Chirikjian, G. S.; Chirikjian, Gregory; Chirikjian, G. more...less Documents Indexed: 59 Publications since 1995, including 4 Books and 10 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 35 Co-Authors with 46 Joint Publications 919 Co-Co-Authors all top 5 Co-Authors 13 single-authored 8 Farashahi, Arash Ghaani 7 Kyatkin, Alexander B. 6 Park, Wooram 4 Rockmore, Daniel N. 4 Wang, Yunfeng 3 Shiffman, Bernard 3 Yan, Yan 2 Ebert-Uphoff, Imme 2 Leibon, Gregory 2 Madden, Dean R. 2 Ruan, Sipu 2 Sajjadi, Sajdeh 2 Wolfe, Kevin C. 1 Ackerman, M. Kendal 1 Afsari, Bijan 1 Burdick, Joel W. 1 Chiang, Chih-Jung 1 Choset, Howie 1 Fichtinger, Gabor 1 Jayaraman, Amitesh S. 1 Lee, Sangyoon 1 Li, Xiao 1 Mashner, Michael 1 Mitchel, Thomas W. 1 Morales, Marco Antonio García 1 Murphey, Todd D. 1 Pamecha, Amit 1 Scheinermann, Edward R. 1 Skliros, Aris 1 Taintor, Robert 1 Toptygin, D. 1 Wirtz, Denis 1 Ye, Jikai 1 Zhou, Yu 1 Zucker, Steven Mark all top 5 Serials 4 Acta Crystallographica. Section A 3 Inverse Problems 3 Journal of Robotic Systems 2 Journal of Algebraic Statistics 2 Applied and Numerical Harmonic Analysis 1 International Journal of Non-Linear Mechanics 1 Molecular Simulation 1 Geometriae Dedicata 1 Journal of Approximation Theory 1 Theoretical Computer Science 1 Acta Applicandae Mathematicae 1 International Journal of Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Applied and Computational Harmonic Analysis 1 Integral Transforms and Special Functions 1 The Journal of Fourier Analysis and Applications 1 Autonomous Robots 1 IEEE Transactions on Image Processing 1 Entropy 1 Analysis and Applications (Singapore) 1 Pure and Applied Mathematics Quarterly 1 Springer Tracts in Advanced Robotics 1 Journal of Geometric Mechanics 1 Mathematics 1 Routledge Revivals all top 5 Fields 17 Abstract harmonic analysis (43-XX) 12 Mechanics of particles and systems (70-XX) 10 Computer science (68-XX) 9 Statistical mechanics, structure of matter (82-XX) 9 Biology and other natural sciences (92-XX) 9 Information and communication theory, circuits (94-XX) 8 Topological groups, Lie groups (22-XX) 8 Numerical analysis (65-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 Probability theory and stochastic processes (60-XX) 4 Group theory and generalizations (20-XX) 3 Ordinary differential equations (34-XX) 3 Differential geometry (53-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 169 times in 116 Documents Cited by ▼ Year ▼ Engineering applications of noncommutative harmonic analysis. With emphasis on rotation and motion groups. Zbl 1100.42500 Chirikjian, G. S.; Kyatkin, A. B. 40 2001 Stochastic models, information theory, and Lie groups. Volume I: Classical results and geometric methods. Zbl 1182.60001 Chirikjian, Gregory S. 22 2009 Stochastic models, information theory, and Lie groups. II: Analytic methods and modern applications. Zbl 1245.60001 Chirikjian, Gregory S. 13 2012 Algorithms for fast convolutions on motion groups. Zbl 0966.65120 Kyatkin, Alexander B.; Chirikjian, Gregory S. 9 2000 Evaluating efficiency of self-reconfiguration in a class of modular robots. Zbl 0881.68137 Chirikjian, Gregory; Pamecha, Amit; Ebert-Uphoff, Imme 8 1996 Bayesian fusion on Lie groups. Zbl 1458.62320 Wolfe, Kevin C.; Mashner, Michael; Chirikjian, Gregory S. 8 2011 An operational calculus for the Euclidean motion group with applications in robotics and polymer science. Zbl 0974.22021 Chirikjian, Gregory S.; Kyatkin, Alexander B. 7 2000 Applications of Fourier methods to the motion group in robot kinematics. Zbl 0936.70003 Kyatkin, A. B.; Chirikjian, G. S. 7 1998 A fast Hermite transform. Zbl 1156.65104 Leibon, Gregory; Rockmore, Daniel N.; Park, Wooram; Taintor, Robert; Chirikjian, Gregory S. 5 2008 Information-theoretic inequalities on unimodular Lie groups. Zbl 1215.22004 Chirikjian, Gregory S. 5 2010 Deblurring of class-averaged images in single-particle electron microscopy. Zbl 1192.68782 Park, Wooram; Madden, Dean R.; Rockmore, Daniel N.; Chirikjian, Gregory S. 4 2010 Modular robot motion planning using similarity metrics. Zbl 1030.68622 Chiang, Chih-Jung; Chirikjian, Gregory S. 4 2001 Accurate image rotation using Hermite expansions. Zbl 1371.94290 Park, Wooram; Leibon, Gregory; Rockmore, Daniel N.; Chirikjian, Gregory S. 4 2009 Fourier-Zernike series of convolutions on disks. Zbl 1425.43003 Ghaani Farashahi, Arash; Chirikjian, Gregory S. 4 2018 Conformational analysis of stiff chiral polymers with end-constraints. Zbl 1198.82074 Kim, J. S.; Chirikjian, G. S. 3 2006 Closed-form characterization of the Minkowski sum and difference of two ellipsoids. Zbl 1321.65033 Yan, Yan; Chirikjian, Gregory S. 3 2015 Discrete spectra of convolutions of compactly supported functions on \(\mathrm{SE}(2)\) using Sturm-Liouville theory. Zbl 1452.43002 Ghaani Farashahi, Arash; Chirikjian, Gregory S. 3 2020 Fourier-Bessel series of compactly supported convolutions on disks. Zbl 07528660 Farashahi, Arash Ghaani; Chirikjian, Gregory S. 3 2022 Efficient workspace generation for binary manipulators with many actuators. Zbl 0852.70002 Ebert-Uphoff, Imme; Chirikjian, Gregory S. 2 1995 Engineering applications of the motion-group Fourier transform. Zbl 1215.43004 Chirikjian, Gregory S.; Wang, Yunfeng 2 2004 Fredholm integral equations on the Euclidean motion group. Zbl 0865.45010 Chirikjian, Gregory S. 2 1996 Mathematical aspects of molecular replacement. I: Algebraic properties of motion spaces. Zbl 1243.82052 Chirikjian, Gregory S. 2 2011 Fourier-Zernike series of compactly supported convolutions on \(\mathrm{SE}(2)\). Zbl 1491.43005 Ghaani Farashahi, Arash; Chirikjian, Gregory S. 2 2021 The stochastic elastica and excluded-volume perturbations of DNA conformational ensembles. Zbl 1203.60098 Chirikjian, Gregory S. 1 2008 Degenerate diffusions and harmonic analysis on \(\mathrm{SE}(3)\): a tutorial. Zbl 1391.43003 Chirikjian, Gregory S. 1 2017 Regularized solutions of a nonlinear convolution equation on the Euclidean group. Zbl 0915.43002 Kyatkin, Alexander B.; Chirikjian, Gregory S. 1 1998 Applications of convex geometry to Minkowski sums of \(m\) ellipsoids in \(\mathbb{R}^N\): Closed-form parametric equations and volume bounds. Zbl 1481.52003 Chirikjian, Gregory S.; Shiffman, Bernard 1 2021 Mathematical aspects of molecular replacement. II. Geometry of motion spaces. Zbl 1284.82087 Chirikjian, Gregory S.; Yan, Yan 1 2012 A probabilistic solution to the \(AX=XB\) problem: sensor calibration without correspondence. Zbl 1396.68122 Ackerman, M. Kendal; Chirikjian, Gregory S. 1 2013 Engineering applications of noncommutative harmonic analysis. With emphasis on rotation and motion groups. Reprint of the 2001 edition. Zbl 1422.42002 Chirikjian, Gregory S.; Kyatkin, Alexander B. 1 2019 Fourier-Bessel series of compactly supported convolutions on disks. Zbl 07528660 Farashahi, Arash Ghaani; Chirikjian, Gregory S. 3 2022 Fourier-Zernike series of compactly supported convolutions on \(\mathrm{SE}(2)\). Zbl 1491.43005 Ghaani Farashahi, Arash; Chirikjian, Gregory S. 2 2021 Applications of convex geometry to Minkowski sums of \(m\) ellipsoids in \(\mathbb{R}^N\): Closed-form parametric equations and volume bounds. Zbl 1481.52003 Chirikjian, Gregory S.; Shiffman, Bernard 1 2021 Discrete spectra of convolutions of compactly supported functions on \(\mathrm{SE}(2)\) using Sturm-Liouville theory. Zbl 1452.43002 Ghaani Farashahi, Arash; Chirikjian, Gregory S. 3 2020 Engineering applications of noncommutative harmonic analysis. With emphasis on rotation and motion groups. Reprint of the 2001 edition. Zbl 1422.42002 Chirikjian, Gregory S.; Kyatkin, Alexander B. 1 2019 Fourier-Zernike series of convolutions on disks. Zbl 1425.43003 Ghaani Farashahi, Arash; Chirikjian, Gregory S. 4 2018 Degenerate diffusions and harmonic analysis on \(\mathrm{SE}(3)\): a tutorial. Zbl 1391.43003 Chirikjian, Gregory S. 1 2017 Closed-form characterization of the Minkowski sum and difference of two ellipsoids. Zbl 1321.65033 Yan, Yan; Chirikjian, Gregory S. 3 2015 A probabilistic solution to the \(AX=XB\) problem: sensor calibration without correspondence. Zbl 1396.68122 Ackerman, M. Kendal; Chirikjian, Gregory S. 1 2013 Stochastic models, information theory, and Lie groups. II: Analytic methods and modern applications. Zbl 1245.60001 Chirikjian, Gregory S. 13 2012 Mathematical aspects of molecular replacement. II. Geometry of motion spaces. Zbl 1284.82087 Chirikjian, Gregory S.; Yan, Yan 1 2012 Bayesian fusion on Lie groups. Zbl 1458.62320 Wolfe, Kevin C.; Mashner, Michael; Chirikjian, Gregory S. 8 2011 Mathematical aspects of molecular replacement. I: Algebraic properties of motion spaces. Zbl 1243.82052 Chirikjian, Gregory S. 2 2011 Information-theoretic inequalities on unimodular Lie groups. Zbl 1215.22004 Chirikjian, Gregory S. 5 2010 Deblurring of class-averaged images in single-particle electron microscopy. Zbl 1192.68782 Park, Wooram; Madden, Dean R.; Rockmore, Daniel N.; Chirikjian, Gregory S. 4 2010 Stochastic models, information theory, and Lie groups. Volume I: Classical results and geometric methods. Zbl 1182.60001 Chirikjian, Gregory S. 22 2009 Accurate image rotation using Hermite expansions. Zbl 1371.94290 Park, Wooram; Leibon, Gregory; Rockmore, Daniel N.; Chirikjian, Gregory S. 4 2009 A fast Hermite transform. Zbl 1156.65104 Leibon, Gregory; Rockmore, Daniel N.; Park, Wooram; Taintor, Robert; Chirikjian, Gregory S. 5 2008 The stochastic elastica and excluded-volume perturbations of DNA conformational ensembles. Zbl 1203.60098 Chirikjian, Gregory S. 1 2008 Conformational analysis of stiff chiral polymers with end-constraints. Zbl 1198.82074 Kim, J. S.; Chirikjian, G. S. 3 2006 Engineering applications of the motion-group Fourier transform. Zbl 1215.43004 Chirikjian, Gregory S.; Wang, Yunfeng 2 2004 Engineering applications of noncommutative harmonic analysis. With emphasis on rotation and motion groups. Zbl 1100.42500 Chirikjian, G. S.; Kyatkin, A. B. 40 2001 Modular robot motion planning using similarity metrics. Zbl 1030.68622 Chiang, Chih-Jung; Chirikjian, Gregory S. 4 2001 Algorithms for fast convolutions on motion groups. Zbl 0966.65120 Kyatkin, Alexander B.; Chirikjian, Gregory S. 9 2000 An operational calculus for the Euclidean motion group with applications in robotics and polymer science. Zbl 0974.22021 Chirikjian, Gregory S.; Kyatkin, Alexander B. 7 2000 Applications of Fourier methods to the motion group in robot kinematics. Zbl 0936.70003 Kyatkin, A. B.; Chirikjian, G. S. 7 1998 Regularized solutions of a nonlinear convolution equation on the Euclidean group. Zbl 0915.43002 Kyatkin, Alexander B.; Chirikjian, Gregory S. 1 1998 Evaluating efficiency of self-reconfiguration in a class of modular robots. Zbl 0881.68137 Chirikjian, Gregory; Pamecha, Amit; Ebert-Uphoff, Imme 8 1996 Fredholm integral equations on the Euclidean motion group. Zbl 0865.45010 Chirikjian, Gregory S. 2 1996 Efficient workspace generation for binary manipulators with many actuators. Zbl 0852.70002 Ebert-Uphoff, Imme; Chirikjian, Gregory S. 2 1995 all cited Publications top 5 cited Publications all top 5 Cited by 234 Authors 20 Chirikjian, Gregory S. 8 Duits, Remco 7 Farashahi, Arash Ghaani 3 Franken, Erik 3 Gauthier, Jean-Paul A. 3 Yan, Yan 2 Bigot, Jéremie 2 Boscain, Ugo 2 Bourmaud, Guillaume 2 Calixto, Manuel 2 Fiori, Simone 2 Giremus, Audrey 2 Guerrero, Julio 2 Jiang, Weiquan 2 Kyatkin, Alexander B. 2 Mégret, Rémi 2 Prestin, Jurgen 2 Rangan, Aaditya V. 2 Rockmore, Daniel N. 2 Rossi, Francesco 2 Sánchez-Monreal, J. C. 2 Schmid, Dominik 2 Smets, Bart M. N. 2 Zeng, Li 1 Abraham, Ajith 1 Agrachev, Andreĭ Aleksandrovich 1 Ahmadzadeh, Hossein 1 Allassonnière, Stéphanie 1 Amato, Nancy M. 1 Andén, Joakim 1 Angers, Jean-François 1 Arfaoui, Sabrine 1 Argudo, David 1 Arnaudon, Alexis 1 Arnaudon, Marc 1 Atri, Mohamed 1 Baddour, Natalie 1 Barbieri, Davide Francesco 1 Barnett, Alex H. 1 Becker, Florian 1 Bekkers, Erik J. 1 Bellaard, Gijs 1 Ben Mabrouk, Anouar 1 Berger, Johannes 1 Berthoumieu, Yannick 1 Blanc, Aurélien 1 Bon, Daan L. J. 1 Bontemps, Dominique 1 Braun, N. O. 1 Bressloff, Paul C. 1 Bukal, Mario 1 Calafiore, Giuseppe Carlo 1 Carlone, Luca 1 Cattani, Carlo 1 Ćesić, Josip 1 Chahbazian, Clément 1 Chaumette, Eric 1 Chen, Guoqian 1 Chong, Edwin Kah Pin 1 Citti, Giovanna 1 Cocci, Giacomo 1 Cools, Ronald 1 Creusen, Eric J. 1 Cyron, Christian Johannes 1 Dahia, Karim 1 Danielli, Donatella 1 Daniilidis, Kostas 1 Dellaert, Frank 1 Demartino, Cristoforo 1 Denisenko, Valeriĭ Vasil’evich 1 Deundyak, Vladimir Mikhaĭlovich 1 Di Persio, Luca 1 Domżalski, Mariusz 1 Drakunov, Sergey V. 1 Dulȩba, Ignacy 1 Dumitrescu, Adrian 1 Duraiswami, Ramani 1 Ebert-Uphoff, Imme 1 Ehrhardt, Matthias 1 Fabozzi, Frank J. 1 Farouki, Rida T. 1 Fei, Yanqiong 1 Filbir, Frank-Dieter 1 Fu, Xudong 1 Furtmaier, O. 1 Gabiccini, Marco 1 Gadat, Sébastien 1 Gao, Wenbiao 1 García-Portugués, Eduardo 1 Garofalo, Nicola 1 Geyer, Christopher 1 Ghosh, Arpan 1 Glaunès, Joan Alexis 1 Gmyr, Robert 1 Gore, Robert A. 1 Gorty, V. R. Lakshmi 1 Gravemeier, Volker 1 Guan, Mingyang 1 Gumerov, Nail A. 1 Günther, Michael ...and 134 more Authors all top 5 Cited in 71 Serials 12 Journal of Mathematical Imaging and Vision 4 The Journal of Fourier Analysis and Applications 3 Automatica 3 Physica D 3 Acta Crystallographica. Section A 2 Inverse Problems 2 Journal of Computational Physics 2 Journal of Fluid Mechanics 2 Applied Mathematics and Computation 2 Journal of Approximation Theory 2 Quarterly of Applied Mathematics 2 Journal of Robotic Systems 2 Numerical Algorithms 2 Applied and Computational Harmonic Analysis 2 International Journal of Computer Vision 2 Integral Transforms and Special Functions 2 Mechanism and Machine Theory 2 Entropy 2 Analysis and Applications (Singapore) 1 Artificial Intelligence 1 Computer Methods in Applied Mechanics and Engineering 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Molecular Simulation 1 Advances in Mathematics 1 The Annals of Statistics 1 BIT 1 Geometriae Dedicata 1 Information Sciences 1 Journal of Functional Analysis 1 Numerische Mathematik 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Stochastic Analysis and Applications 1 Computer Aided Geometric Design 1 Graphs and Combinatorics 1 Probability Theory and Related Fields 1 Journal of Scientific Computing 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 Linear Algebra and its Applications 1 Distributed Computing 1 Test 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Advances in Computational Mathematics 1 Mathematical Problems in Engineering 1 European Journal of Control 1 Journal of Vibration and Control 1 International Journal of Theoretical and Applied Finance 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of the Australian Mathematical Society 1 Natural Computing 1 SIAM Journal on Applied Dynamical Systems 1 Quantum Information Processing 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Journal of Zhejiang University. Science A 1 Proceedings of the Steklov Institute of Mathematics 1 Electronic Journal of Statistics 1 The Annals of Applied Statistics 1 Mathematics 1 Sahand Communications in Mathematical Analysis 1 Results in Applied Mathematics 1 SIAM Journal on Mathematics of Data Science all top 5 Cited in 39 Fields 24 Information and communication theory, circuits (94-XX) 23 Numerical analysis (65-XX) 19 Abstract harmonic analysis (43-XX) 19 Computer science (68-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 17 Biology and other natural sciences (92-XX) 15 Topological groups, Lie groups (22-XX) 12 Statistics (62-XX) 11 Partial differential equations (35-XX) 11 Probability theory and stochastic processes (60-XX) 11 Systems theory; control (93-XX) 10 Differential geometry (53-XX) 9 Mechanics of particles and systems (70-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 5 Fluid mechanics (76-XX) 5 Quantum theory (81-XX) 4 Integral transforms, operational calculus (44-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of deformable solids (74-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Operator theory (47-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year