Edit Profile (opens in new tab) Sommer, Gerald Co-Author Distance Author ID: sommer.gerald Published as: Sommer, Gerald; Sommer, G. Documents Indexed: 59 Publications since 1964 4 Contributions as Editor Co-Authors: 29 Co-Authors with 54 Joint Publications 499 Co-Co-Authors all top 5 Co-Authors 8 single-authored 12 Rosenhahn, Bodo 10 Felsberg, Michael 6 Perwass, Christian B. U. 6 Wietzke, Lennart 5 Buchholz, Sven 5 Bülow, Thomas 4 Zhang, Yiwen 3 Daniilidis, Kostas 3 Fleischmann, Oliver 3 Pauli, Josef 2 Bayro-Corrochano, Eduardo 2 Gebken, Christian 2 Li, Hongbo 2 Zang, Di 1 Bruske, Jörg 1 Chavarria, Marco A. 1 Chernov, Vladimir M. 1 Chetverikov, Dmitry 1 Fleishmann, Oliver 1 Granert, Oliver 1 Krüger, Volker 1 Olver, Peter John 1 Pollatschek, Moshe A. 1 Riehn, Lars 1 Schmidt, Arne 1 Siebel, Nils T. 1 Voss, Klaus 1 Yu, Weichan 1 Yu, Weichuan 1 Zeevi, Yehoshua Y. all top 5 Serials 6 Journal of Mathematical Imaging and Vision 2 IEEE Transactions on Signal Processing 2 Il Nuovo Cimento, X. Series, A 2 Lecture Notes in Computer Science 1 Biological Cybernetics 1 Fortschritte der Physik 1 Algorithmica 1 Neural Networks 1 Robotics and Autonomous Systems 1 Zeitschrift für Operations Research. Serie B: Praxis 1 Pattern Recognition Letters 1 International Journal of Computer Vision 1 Advances in Applied Clifford Algebras 1 IEEE Transactions on Image Processing 1 Communications on Pure and Applied Analysis 1 International Journal of Hybrid Intelligent Systems 1 Mathematical Geosciences 1 Mathematical Research all top 5 Fields 40 Computer science (68-XX) 17 Information and communication theory, circuits (94-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 5 Numerical analysis (65-XX) 5 Mechanics of particles and systems (70-XX) 4 Integral transforms, operational calculus (44-XX) 3 General and overarching topics; collections (00-XX) 3 Biology and other natural sciences (92-XX) 2 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 2 Operations research, mathematical programming (90-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 262 times in 183 Documents Cited by ▼ Year ▼ The monogenic signal. Zbl 1369.94139 Felsberg, Michael; Sommer, Gerald 50 2001 Hypercomplex signals – a novel extension of the analytic signal to the multidimensional case. Zbl 1369.94099 Bülow, Thomas; Sommer, Gerald 45 2001 Geometric computing with Clifford algebras. Theoretical foundations and applications in computer vision and robotics. Zbl 0964.65017 27 2001 On Clifford neurons and Clifford multi-layer perceptrons. Zbl 1254.92002 Buchholz, Sven; Sommer, Gerald 20 2008 Non-commutative hypercomplex Fourier transforms of multidimensional signals. Zbl 1072.94501 Bülow, Thomas; Felsberg, Michael; Sommer, Gerald 19 2001 The monogenic scale-space: a unifying approach to phase-based image processing in scale-space. Zbl 1478.94037 Felsberg, M.; Sommer, G. 17 2004 Motor algebra of 3D kinematics: The case of the hand-eye calibration. Zbl 0969.68645 Bayro-Corrochano, Eduardo; Daniilidis, Kostas; Sommer, Gerald 16 2000 A fuzzy programming approach to an air pollution regulation problem. Zbl 0422.90030 Sommer, G.; Pollatschek, M. A. 13 1978 Scale adaptive filtering derived from the Laplace equation. Zbl 1038.68690 Felsberg, Michael; Sommer, Gerald 8 2001 Pose estimation in conformal geometric algebra. I: The stratification of mathematical spaces. Zbl 1478.68408 Rosenhahn, Bodo; Sommer, Gerald 6 2005 The signal multi-vector. Zbl 1490.94031 Wietzke, Lennart; Sommer, Gerald 6 2010 Parameter estimation from uncertain data in geometric algebra. Zbl 1177.65020 Gebken, Christian; Perwass, Christian; Sommer, Gerald 5 2008 Implementation of a Clifford algebra co-processor design on a field programmable gate array. Zbl 1070.68514 Perwass, Christian; Gebken, Christian; Sommer, Gerald 5 2004 Adaptive pose estimation for different corresponding entities. Zbl 1017.68861 Rosenhahn, Bodo; Sommer, Gerald 4 2002 Pose estimation in conformal geometric algebra. II: Real-time pose estimation using extended feature concepts. Zbl 1478.68409 Rosenhahn, Bodo; Sommer, Gerald 3 2005 Dispersion relations for complex values of t from axiomatic field theory. Zbl 0152.24001 Sommer, G. 3 1967 Monocular pose estimation of kinematic chains. Zbl 1034.68097 Rosenhahn, Bodo; Granert, Oliver; Sommer, Gerald 3 2002 Commutative hypercomplex Fourier transforms of multidimensional signals. Zbl 1072.94503 Felsberg, Michael; Bülow, Thomas; Sommer, Gerald 2 2001 Fast algorithms of hypercomplex Fourier transforms. Zbl 1072.94504 Felsberg, Michael; Bülow, Thomas; Sommer, Gerald; Chernov, Vladimir M. 2 2001 Introduction to neural computation in Clifford algebra. Zbl 1073.68645 Buchholz, Sven; Sommer, Gerald 2 2001 Pose estimation in the language of kinematics. Zbl 0973.68234 Rosenhahn, Bodo; Zhang, Yiwen; Sommer, Gerald 2 2000 Pose estimation using geometric constraints. Zbl 0978.68681 Sommer, Gerald; Rosenhahn, Bodo; Zhang, Yiwen 2 2001 Monogenic curvature tensor as image model. Zbl 1171.68814 Sommer, Gerald; Wietzke, Lennart; Zang, Di 2 2009 Lineare Ersatzprogramme für unscharfe Entscheidungsprobleme zur Optimumbestimmung bei unscharfer Problembeschreibung. Zbl 0372.90081 Sommer, G. 2 1978 Parity symmetry in multi-dimensional signals. Zbl 1134.94322 Sommer, Gerald; Zang, Di 2 2007 Free-form pose estimation by using twist representations. Zbl 1072.68116 Rosenhahn, Bodo; Perwass, Christian; Sommer, Gerald 2 2004 Evolutionary reinforcement learning of artificial neural networks. Zbl 1146.68436 Siebel, Nils T.; Sommer, Gerald 1 2007 The solution of the interference-problem of 2D waves by means of Clifford structures. Zbl 1179.94028 Wietzke, Lennart; Fleischmann, Oliver; Sommer, Gerald 1 2009 Clifford algebra multilayer perceptions. Zbl 1073.68685 Buchholz, Sven; Sommer, Gerald 1 2001 Learning geometric transformations with Clifford neurons. Zbl 0973.68196 Buchholz, Sven; Sommer, Gerald 1 2000 The multidimensional isotropic generalization of quadrature filters in geometric algebra. Zbl 0973.68577 Felsberg, Michael; Sommer, Gerald 1 2000 Image features based on a new approach to 2D rotation invariant quadrature filters. Zbl 1034.68599 Felsberg, M.; Sommer, G. 1 2002 Computer algebra and geometric algebra with applications. 6th international workshop, IWMM 2004, Shanghai, China, May 19–21, 2004 and international workshop, GIAE 2004, Xian, China, May 24–28, 2004. Revised selected papers. Zbl 1073.68007 1 2005 On averaging in Clifford groups. Zbl 1078.68798 Buchholz, Sven; Sommer, Gerald 1 2005 Pose estimation of 3D free-form contours. Zbl 1477.68417 Rosenhahn, Bodo; Perwass, Christian; Sommer, Gerald 1 2005 Approximate orientation steerability based on angular Gaussians. Zbl 1061.68581 Yu, Weichan; Daniilidis, Kostas; Sommer, Gerald 1 2001 The structure multivector. Zbl 1028.94005 Felsberg, Michael; Sommer, Gerald 1 2002 The Hilbert transform on the two-sphere: A spectral characterization. Zbl 1201.44005 Fleischmann, Oliver; Wietzke, Lennart; Sommer, Gerald 1 2010 The signal multi-vector. Zbl 1490.94031 Wietzke, Lennart; Sommer, Gerald 6 2010 The Hilbert transform on the two-sphere: A spectral characterization. Zbl 1201.44005 Fleischmann, Oliver; Wietzke, Lennart; Sommer, Gerald 1 2010 Monogenic curvature tensor as image model. Zbl 1171.68814 Sommer, Gerald; Wietzke, Lennart; Zang, Di 2 2009 The solution of the interference-problem of 2D waves by means of Clifford structures. Zbl 1179.94028 Wietzke, Lennart; Fleischmann, Oliver; Sommer, Gerald 1 2009 On Clifford neurons and Clifford multi-layer perceptrons. Zbl 1254.92002 Buchholz, Sven; Sommer, Gerald 20 2008 Parameter estimation from uncertain data in geometric algebra. Zbl 1177.65020 Gebken, Christian; Perwass, Christian; Sommer, Gerald 5 2008 Parity symmetry in multi-dimensional signals. Zbl 1134.94322 Sommer, Gerald; Zang, Di 2 2007 Evolutionary reinforcement learning of artificial neural networks. Zbl 1146.68436 Siebel, Nils T.; Sommer, Gerald 1 2007 Pose estimation in conformal geometric algebra. I: The stratification of mathematical spaces. Zbl 1478.68408 Rosenhahn, Bodo; Sommer, Gerald 6 2005 Pose estimation in conformal geometric algebra. II: Real-time pose estimation using extended feature concepts. Zbl 1478.68409 Rosenhahn, Bodo; Sommer, Gerald 3 2005 Computer algebra and geometric algebra with applications. 6th international workshop, IWMM 2004, Shanghai, China, May 19–21, 2004 and international workshop, GIAE 2004, Xian, China, May 24–28, 2004. Revised selected papers. Zbl 1073.68007 1 2005 On averaging in Clifford groups. Zbl 1078.68798 Buchholz, Sven; Sommer, Gerald 1 2005 Pose estimation of 3D free-form contours. Zbl 1477.68417 Rosenhahn, Bodo; Perwass, Christian; Sommer, Gerald 1 2005 The monogenic scale-space: a unifying approach to phase-based image processing in scale-space. Zbl 1478.94037 Felsberg, M.; Sommer, G. 17 2004 Implementation of a Clifford algebra co-processor design on a field programmable gate array. Zbl 1070.68514 Perwass, Christian; Gebken, Christian; Sommer, Gerald 5 2004 Free-form pose estimation by using twist representations. Zbl 1072.68116 Rosenhahn, Bodo; Perwass, Christian; Sommer, Gerald 2 2004 Adaptive pose estimation for different corresponding entities. Zbl 1017.68861 Rosenhahn, Bodo; Sommer, Gerald 4 2002 Monocular pose estimation of kinematic chains. Zbl 1034.68097 Rosenhahn, Bodo; Granert, Oliver; Sommer, Gerald 3 2002 Image features based on a new approach to 2D rotation invariant quadrature filters. Zbl 1034.68599 Felsberg, M.; Sommer, G. 1 2002 The structure multivector. Zbl 1028.94005 Felsberg, Michael; Sommer, Gerald 1 2002 The monogenic signal. Zbl 1369.94139 Felsberg, Michael; Sommer, Gerald 50 2001 Hypercomplex signals – a novel extension of the analytic signal to the multidimensional case. Zbl 1369.94099 Bülow, Thomas; Sommer, Gerald 45 2001 Geometric computing with Clifford algebras. Theoretical foundations and applications in computer vision and robotics. Zbl 0964.65017 27 2001 Non-commutative hypercomplex Fourier transforms of multidimensional signals. Zbl 1072.94501 Bülow, Thomas; Felsberg, Michael; Sommer, Gerald 19 2001 Scale adaptive filtering derived from the Laplace equation. Zbl 1038.68690 Felsberg, Michael; Sommer, Gerald 8 2001 Commutative hypercomplex Fourier transforms of multidimensional signals. Zbl 1072.94503 Felsberg, Michael; Bülow, Thomas; Sommer, Gerald 2 2001 Fast algorithms of hypercomplex Fourier transforms. Zbl 1072.94504 Felsberg, Michael; Bülow, Thomas; Sommer, Gerald; Chernov, Vladimir M. 2 2001 Introduction to neural computation in Clifford algebra. Zbl 1073.68645 Buchholz, Sven; Sommer, Gerald 2 2001 Pose estimation using geometric constraints. Zbl 0978.68681 Sommer, Gerald; Rosenhahn, Bodo; Zhang, Yiwen 2 2001 Clifford algebra multilayer perceptions. Zbl 1073.68685 Buchholz, Sven; Sommer, Gerald 1 2001 Approximate orientation steerability based on angular Gaussians. Zbl 1061.68581 Yu, Weichan; Daniilidis, Kostas; Sommer, Gerald 1 2001 Motor algebra of 3D kinematics: The case of the hand-eye calibration. Zbl 0969.68645 Bayro-Corrochano, Eduardo; Daniilidis, Kostas; Sommer, Gerald 16 2000 Pose estimation in the language of kinematics. Zbl 0973.68234 Rosenhahn, Bodo; Zhang, Yiwen; Sommer, Gerald 2 2000 Learning geometric transformations with Clifford neurons. Zbl 0973.68196 Buchholz, Sven; Sommer, Gerald 1 2000 The multidimensional isotropic generalization of quadrature filters in geometric algebra. Zbl 0973.68577 Felsberg, Michael; Sommer, Gerald 1 2000 A fuzzy programming approach to an air pollution regulation problem. Zbl 0422.90030 Sommer, G.; Pollatschek, M. A. 13 1978 Lineare Ersatzprogramme für unscharfe Entscheidungsprobleme zur Optimumbestimmung bei unscharfer Problembeschreibung. Zbl 0372.90081 Sommer, G. 2 1978 Dispersion relations for complex values of t from axiomatic field theory. Zbl 0152.24001 Sommer, G. 3 1967 all cited Publications top 5 cited Publications all top 5 Cited by 320 Authors 9 Bayro-Corrochano, Eduardo 9 Sommer, Gerald 8 Bernstein, Swanhild 6 Hitzer, Eckhard 6 Kou, Kit-Ian 6 Li, Yongkun 5 Bahri, Mawardi 5 Qian, Tao 5 Zhang, Haizhang 4 Ashino, Ryuichi 4 Dang, Pei 4 De Bie, Hendrik 4 Ell, Todd Anthony 4 Franchini, Silvia 4 Gentile, Antonio 4 Kähler, Uwe 4 Lim, Chee Peng 4 Lindeberg, Tony 4 Rajchakit, Grienggrai 4 Sangwine, Stephen J. 4 Sriraman, Ramalingam 4 Teali, Aajaz Ahmad 4 Vassallo, Giorgio 4 Vitabile, Salvatore 4 Wietzke, Lennart 4 Yang, Yan 3 Berthier, Michel 3 Błaszczyk, Łukasz 3 Heise, Bettina 3 Hildenbrand, Dietmar 3 Lin, Rongrong 3 Morais, João Pedro 3 Reinhardt, Martin 3 Rosenhahn, Bodo 3 Shah, Firdous Ahmad 3 Sommen, Franciscus 3 Wang, Xiaotong 3 Xu, Guanlei 3 Xu, Xiaogang 3 Zamora-Esquivel, Julio 3 Zou, Cuiming 2 Abdella, Kenzu 2 Agarwal, Praveen 2 Angulo, Jesús 2 Assefa, Dawit 2 Ben Mabrouk, Anouar 2 Boonsatit, N. 2 Clausel, Marianne 2 De Schepper, Nele 2 Egeland, Olav 2 El Haoui, Youssef 2 Fleischmann, Oliver 2 Fu, Yingxiong 2 Ku, Min 2 Le Bihan, Nicolas 2 Li, Bing 2 Liu, Mingsheng 2 Mandai, Takeshi 2 Mansinha, Lalu 2 Miller, Karol 2 Morimoto, Akira 2 Perrier, Valérie 2 Rasmussen, Henning 2 Schufmann, Sandra 2 Shen, Shiping 2 Sorbello, Filippo 2 Tefjeni, Emna 2 Thiruvengadam, Sudharsan 2 Tiampo, Kristy F. 2 Tingelstad, Lars 2 Weickert, Joachim 2 Yu, Bo 2 Zayed, Mohra 1 Abłamowicz, Rafał 1 Adji, Sriwulan 1 Aerts, Diederik Emiel 1 Akila, Lakshmanan 1 Ali, Rehan 1 Alpay, Daniel Aron 1 Altamirano-Escobedo, Guillermo 1 Aluie, Hussein 1 Amini, Arash Ali 1 Anglès, Pierre 1 Aouiti, Chaouki 1 Arfaoui, Sabrine 1 Ata, Erhan 1 Atasoy, Ali 1 Badeńska, Agnieszka 1 Balestra, Gioele 1 Baluni, Sapna 1 Banouh, Hicham 1 Batard, Thomas 1 Belaid, Ahror 1 Ben Gharbia, Imen 1 Benger, Werner 1 Bhat, Mohammad Younus 1 Bi, Wenshan 1 Bouchot, Jean-Luc 1 Boukerroui, Djamal 1 Brackx, Fred F. ...and 220 more Authors all top 5 Cited in 65 Serials 39 Advances in Applied Clifford Algebras 21 Journal of Mathematical Imaging and Vision 8 Pattern Recognition 5 Applied Mathematics and Computation 4 Mathematical Methods in the Applied Sciences 4 Multidimensional Systems and Signal Processing 4 International Journal of Wavelets, Multiresolution and Information Processing 4 Advances in Difference Equations 4 Complex Analysis and Operator Theory 3 Signal Processing 3 Applied and Computational Harmonic Analysis 3 International Journal of Applied Mathematics and Computer Science 2 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Mathematics and Computers in Simulation 2 Neural Networks 2 International Journal of Computer Vision 2 Integral Transforms and Special Functions 2 Qualitative Theory of Dynamical Systems 2 Complex Variables and Elliptic Equations 2 SIAM Journal on Imaging Sciences 2 Journal of Pseudo-Differential Operators and Applications 1 Applicable Analysis 1 Biological Cybernetics 1 Computers and Fluids 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Wave Motion 1 Chaos, Solitons and Fractals 1 Bulletin of the Polish Academy of Sciences. Technical Sciences 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Journal of Mathematical Psychology 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Results in Mathematics 1 Journal of Computer Science and Technology 1 Forum Mathematicum 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 Machine Learning 1 Neural Computation 1 The Journal of Analysis 1 Computational and Applied Mathematics 1 Complexity 1 The Journal of Fourier Analysis and Applications 1 Mathematical Problems in Engineering 1 Doklady Mathematics 1 Nonlinear Dynamics 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series B 1 Stochastic Models 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Mediterranean Journal of Mathematics 1 Mathematical Biosciences and Engineering 1 Mathematical Geosciences 1 Science China. Information Sciences 1 GEM - International Journal on Geomathematics 1 JSIAM Letters 1 Journal of Linear and Topological Algebra 1 Research in the Mathematical Sciences all top 5 Cited in 38 Fields 69 Information and communication theory, circuits (94-XX) 51 Harmonic analysis on Euclidean spaces (42-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 47 Computer science (68-XX) 27 Functions of a complex variable (30-XX) 26 Integral transforms, operational calculus (44-XX) 18 Biology and other natural sciences (92-XX) 15 Numerical analysis (65-XX) 11 Ordinary differential equations (34-XX) 10 Mechanics of particles and systems (70-XX) 10 Systems theory; control (93-XX) 8 Operator theory (47-XX) 6 Number theory (11-XX) 4 Abstract harmonic analysis (43-XX) 4 Statistics (62-XX) 4 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 4 Operations research, mathematical programming (90-XX) 3 Associative rings and algebras (16-XX) 3 Partial differential equations (35-XX) 3 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year