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Chirikjian, Gregory S.

Author ID: chirikjian.gregory-s Recent zbMATH articles by "Chirikjian, Gregory S."
Published as: Chirikjian, Gregory S.; Chirikjian, G. S.; Chirikjian, Gregory; Chirikjian, G.

Publications by Year

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 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