Search results for "Quaternions"

Hits ?▲	Authors	Title	Venue	Year	Link	Author keywords
98	John C. Hart, George K. Francis, Louis H. Kauffman	Visualizing quaternion rotation.	ACM Trans. Graph.	1994	DBLP DOI BibTeX RDF	visualization, education, interpolation, deformation, orientation, rotation, quaternions
65	YoungJu Choie, Steven T. Dougherty	Codes over Sigma2m and Jacobi forms over the Quaternions.	Appl. Algebra Eng. Commun. Comput.	2004	DBLP DOI BibTeX RDF
56	Ladislav Kavan, Steven Collins, Jirí Zára, Carol O'Sullivan	Skinning with dual quaternions.	SI3D	2007	DBLP DOI BibTeX RDF	dual quaternions, skinning, blending, linear combinations, rigid transformations
50	Raouf Benjemaa, Francis Schmitt	A Solution for the Registration of Multiple 3D Point Sets Using Unit Quaternions.	ECCV (2)	1998	DBLP DOI BibTeX RDF
46	Alistair Shilton, Daniel T. H. Lai	Quaternionic and complex-valued Support Vector Regression for Equalization and Function Approximation.	IJCNN	2007	DBLP DOI BibTeX RDF
39	André Diatta, Bakary Manga, Fatimata Sy	On dual quaternions, dual split quaternions and Cartan-Schouten metrics on perfect Lie groups.	CoRR	2023	DBLP DOI BibTeX RDF
39	Ignacio Mas, Christopher Kitts	Quaternions and Dual Quaternions: Singularity-Free Multirobot Formation Control.	J. Intell. Robotic Syst.	2017	DBLP DOI BibTeX RDF
39	Henry Himberg, Yuichi Motai	Head Orientation Prediction: Delta Quaternions Versus Quaternions.	IEEE Trans. Syst. Man Cybern. Part B	2009	DBLP DOI BibTeX RDF
39	Patrice Denis	Quaternions et Algèbres Géométriques, de nouveaux outils pour les images numériques couleur. (Quaternions and Geometric Algebras, new tools for digital colour images).		2007	RDF
37	Ladislav Kavan, Steven Collins, Jirí Zára, Carol O'Sullivan	Geometric skinning with approximate dual quaternion blending.	ACM Trans. Graph.	2008	DBLP DOI BibTeX RDF	dual quaternions, transformation blending, Skinning, linear combinations, rigid transformations
37	Stephen Mann, Leo Dorst	Geometric Algebra: A Computational Framework for Geometrical Applications (Part 2).	IEEE Computer Graphics and Applications	2002	DBLP DOI BibTeX RDF	rotation reprensentation, Plucker coordinates, geometric differentiation, computational geometry, join, quaternions, meet, geometric algebra, Clifford algebra, homogeneous coordinates, dualization
37	Rida T. Farouki, Mohammad al-Kandari, Takis Sakkalis	Hermite Interpolation by Rotation-Invariant Spatial Pythagorean-Hodograph Curves.	Adv. Comput. Math.	2002	DBLP DOI BibTeX RDF	Pythagorean-hodograph curves, quaternions, Hermite interpolation
37	Samuel R. Buss, Jay P. Fillmore	Spherical averages and applications to spherical splines and interpolation.	ACM Trans. Graph.	2001	DBLP DOI BibTeX RDF	Bézier curve, least squares minimization, quaternion interpolation, spherical average, spherical interpolation, spherical mean, B-spline, quaternions, barycentric coordinates, spline interpolation, spline curve
37	Sebastian Weik	Registration of 3-D Partial Surface Models using Luminance and Depth Information.	3DIM	1997	DBLP DOI BibTeX RDF	3D partial surface model registration, luminance information, textured surface models, overlapping partial models, camera-based depth information, 3D Euclidian distances, motion estimation, computer graphics, convergence, optical flow, image registration, merging, stereo image processing, quaternions, degrees of freedom, three-dimensional objects, depth information
35	Noam D. Elkies, Lourens M. Pretorius, Conrad Johann Swanepoel	Sylvester-Gallai Theorems for Complex Numbers and Quaternions.	Discret. Comput. Geom.	2006	DBLP DOI BibTeX RDF
30	Leonardo Traversoni	Interpolating Movements Using CAGD Tools.	CGIV	2007	DBLP DOI BibTeX RDF
30	Sven Buchholz 0001, Gerald Sommer	On Averaging in Clifford Groups.	IWMM/GIAE	2004	DBLP DOI BibTeX RDF
30	Steve Chien, Lars Eilstrup Rasmussen, Alistair Sinclair	Clifford algebras and approximating the permanent.	STOC	2002	DBLP DOI BibTeX RDF
30	Soo-Chang Pei, Ching-Min Cheng	Color image processing by using binary quaternion-moment-preserving thresholding technique.	IEEE Trans. Image Process.	1999	DBLP DOI BibTeX RDF
30	Gem-Sun Jason Young, Rama Chellappa	3-D Motion Estimation Using a Sequence of Noisy Stereo Images: Models, Estimation, and Uniqueness Results.	IEEE Trans. Pattern Anal. Mach. Intell.	1990	DBLP DOI BibTeX RDF	nondegenerate motion, 3-D motion estimation, noisy stereo images, kinematic model-based approach, constant acceleration translational motion, constant precession rotational motion, bilinear state-space model, 3-D feature points, Cramer-Rao performance bounds, degenerate motions, computer vision, computer vision, parameter estimates, parameter estimation, nonlinear filters, kinematics, uniqueness
30	Ken Shoemake	Animating rotation with quaternion curves.	SIGGRAPH	1985	DBLP DOI BibTeX RDF	Bézier curve, in-betweening, spherical geometry, animation, approximation, interpolation, B-spline, spline, rotation, quaternion
22	Fahad S. Al-Qadda, Lahouari Ghouti	Color Texture Retrieval Using Hypercomplex Wavelets.	BLISS	2009	DBLP DOI BibTeX RDF	Hypecomplex Wavelets Transforms, Quaternion Wavelets, Information Retrieval, Quaternions, Retrieval Performance
22	Fares S. Al-Qunaieer, Lahouari Ghouti	Color Iris Recognition Using Hypercomplex Gabor Wavelets.	BLISS	2009	DBLP DOI BibTeX RDF	Iris Recognition and Matching, Hypecomplex Transforms, Quaternion Gabor Wavelets, IrisCodes, Biometrics, Quaternions
22	Lahouari Ghouti, Fares S. Al-Qunaieer	Color Iris Recognition Using Quaternion Phase Correlation.	BLISS	2009	DBLP DOI BibTeX RDF	Iris Recognition and Matching, Hypecomplex Transforms, Quaternion Phase Correlation, band-Limited Quaternion Phase Correlation, Biometrics, Quaternions
22	Carl de Boor, Christian Gout, Angela Kunoth, Christophe Rabut	Multivariate approximation: theory and applications. An overview.	Numer. Algorithms	2008	DBLP DOI BibTeX RDF	Multiscale and wavelets modelling, Image processing, Approximation, Applications, Radial basis functions, Splines, Quaternions
22	Qiaode Jeffrey Ge, Anurag Purwar, Jun Wu	Kinematic convexity of spherical displacements and its application to collision prediction.	Symposium on Solid and Physical Modeling	2008	DBLP DOI BibTeX RDF	collision prediction, motion planning, convexity, kinematics, quaternions
22	Ladislav Kavan, Rachel McDonnell, Simon Dobbyn, Jirí Zára, Carol O'Sullivan	Skinning arbitrary deformations.	SI3D	2007	DBLP DOI BibTeX RDF	animation compression, dual quaternions, approximation, skinning
22	Francesca Pelosi, Rida T. Farouki, Carla Manni, Alessandra Sestini	Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics.	Adv. Comput. Math.	2005	DBLP DOI BibTeX RDF	Pythagorean-hodograph cubics, tangent adjustment, energy integral, curvature, quaternions, shape preservation, Hermite interpolation, torsion, helix
22	Chung-Chi Hsieh	Motion Smoothing Using Wavelets.	J. Intell. Robotic Syst.	2002	DBLP DOI BibTeX RDF	motion fairing, unit quaternions, virtual reality, wavelets
22	Jehee Lee, Sung Yong Shin	General Construction of Time-Domain Filters for Orientation Data.	IEEE Trans. Vis. Comput. Graph.	2002	DBLP DOI BibTeX RDF	orientation and rotation, unit quaternions, motion signal processing, LTI filters, convolution filters, coordinate-invariance, time-invariance
22	Lorna Herda, Raquel Urtasun, Pascal Fua, Andrew J. Hanson	An Automatic Method For Determining Quaternion Field Boundaries for Ball-and-Socket Joint Limits.	FGR	2002	DBLP DOI BibTeX RDF	body modeling, rotation representation, joint limits, motion capture, implicit surfaces, quaternions
22	Eric R. Bachmann, Robert B. McGhee, Xiaoping Yun, Michael Zyda	Inertial and magnetic posture tracking for inserting humans into networked virtual environments.	VRST	2001	DBLP DOI BibTeX RDF	body tracking, complementary filtering, inertial/magnetic sensors, virtual environments, quaternions
22	Sang-Hun Nam, Dong Hoon Lee, Jang-Hwan Im, Young-Ho Chai	Dual projection-based VR system for the light weight motion-based driving simulator.	VRST	2000	DBLP DOI BibTeX RDF	Projection System, Virtual Reality, Quaternions, Driving Simulator, Motion Platform
22	Andrew J. Hanson	Constrained optimal framings of curves and surfaces using quaternion Gauss maps.	IEEE Visualization	1998	DBLP DOI BibTeX RDF	tubing, surfaces, frames, curves, quaternions
22	Douglas R. Heisterkamp, Prabir Bhattacharya	Matching of 3D Polygonal Arcs.	IEEE Trans. Pattern Anal. Mach. Intell.	1997	DBLP DOI BibTeX RDF	Polygonal arcs, mismatch measure, matching, eigenvalues, distance measure, quaternions, rotation matrix
22	Ravi Ramamoorthi, Alan H. Barr	Fast construction of accurate quaternion splines.	SIGGRAPH	1997	DBLP DOI BibTeX RDF	Euler-Lagrange error functional, optimization, splines, quaternions
22	Sebastian Egner	Semi-numerical solution to 6/6-Stewart-platform kinematics based on symmetry.	Appl. Algebra Eng. Commun. Comput.	1996	DBLP DOI BibTeX RDF	Closed-loop architectures, Polynomial equations with symmetry, Newton’s method, Fast evaluation of polynomials, Quaternions, Parallel manipulators, Robot kinematics, Stewart-platform
19	Felipe Fidalgo, Emerson V. Castelani, Guilherme Philippi	A numerical-and-computational study on the impact of using quaternions in the branch-and-prune algorithm for exact discretizable distance geometry problems.	Comput. Optim. Appl.	2024	DBLP DOI BibTeX RDF
19	Zhisheng Zhao, Zengke Li, Bin Wang	A Novel Robust Quaternions-Based Algorithm for 3-D Symmetric Similarity Datum Transformation.	IEEE Trans. Instrum. Meas.	2024	DBLP DOI BibTeX RDF
19	Zhen Li, Cuiling Fan, Wei Su, Yanfeng Qi	Aperiodic/periodic complementary sequence pairs over quaternions.	Adv. Math. Commun.	2023	DBLP DOI BibTeX RDF
19	Yue Wang, Huajian Song, Yingxue Du, Jianlong Qiu, Ancai Zhang	A Complete Analytical Solution to Hand-Eye Calibration Using Quaternions and Eigenvector-Eigenvalue Identity.	J. Intell. Robotic Syst.	2023	DBLP DOI BibTeX RDF
19	Chaoying Pei, Changhuang Wan, Ran Dai, Jeremy R. Rea	A Hybrid ADMM for Six-Degree-of-Freedom Entry Trajectory Optimization Based on Dual Quaternions.	IEEE Trans. Aerosp. Electron. Syst.	2023	DBLP DOI BibTeX RDF
19	Eduardo Bayro-Corrochano, Zuleima Vazquez-Flores, Ulises Uriostegui-Legorreta	The Lorentz Group Using Conformal Geometric Algebra and Split Quaternions for Color Image Processing: Theory and Practice.	IEEE Access	2023	DBLP DOI BibTeX RDF
19	Savita Walia, Krishan Kumar 0001, Munish Kumar	Unveiling digital image forgeries using Markov based quaternions in frequency domain and fusion of machine learning algorithms.	Multim. Tools Appl.	2023	DBLP DOI BibTeX RDF
19	Yi Lou, Xinghao Qu, Dawei Wang 0001, Julian Cheng	Direction-of-Arrival Estimation for Nested Acoustic Vector-Sensor Arrays Using Quaternions.	IEEE Trans. Geosci. Remote. Sens.	2023	DBLP DOI BibTeX RDF
19	Chao Zheng, Luming Zou, Zhi Zheng, Xin Xue	Kinematics Modeling and Singularity Analysis of a 6-DOF All-Metal Vibration Isolator Based on Dual Quaternions.	Symmetry	2023	DBLP DOI BibTeX RDF
19	Mehmet Duru, Harun Baris Çolakoglu	Generalized Split Quaternions and Their Applications on Non-Parabolic Conical Rotations.	Symmetry	2023	DBLP DOI BibTeX RDF
19	Daniel Condurache, Ionut Popa	A Minimal Parameterization of Rigid Body Displacement and Motion Using a Higher-Order Cayley Map by Dual Quaternions.	Symmetry	2023	DBLP DOI BibTeX RDF
19	Xin Liu, Kaiqi Wen, Yang Zhang	Matrix Equation's Reflexive and Anti-Reflexive Solutions over Quaternions.	Symmetry	2023	DBLP DOI BibTeX RDF
19	J. Cariño, Hernán Abaunza, Pedro Castillo	A fully-actuated quadcopter representation using quaternions.	Int. J. Control	2023	DBLP DOI BibTeX RDF
19	Benjamin Kenwright	Dual-Quaternions: Theory and Applications in Sound.	CoRR	2023	DBLP DOI BibTeX RDF
19	Jon Arrizabalaga, Markus Ryll	Pose-Following with Dual Quaternions.	CoRR	2023	DBLP DOI BibTeX RDF
19	Tianlei Zhu, Renzhe Zhu	Experimental Results regarding multiple Machine Learning via Quaternions.	CoRR	2023	DBLP DOI BibTeX RDF
19	Sahel Mohammad Iqbal, Subhankar Mishra	Neural Networks at a Fraction with Pruned Quaternions.	CoRR	2023	DBLP DOI BibTeX RDF
19	Benjamin Kenwright	A Survey on Dual-Quaternions.	CoRR	2023	DBLP DOI BibTeX RDF
19	Zineb Benhmidouch, Saad Moufid, Aissam Ait Omar	Kinematics and Dynamics Modeling of 7 Degrees of Freedom Human Lower Limb Using Dual Quaternions Algebra.	CoRR	2023	DBLP DOI BibTeX RDF
19	Sebastian Miron, Julien Flamant, Nicolas Le Bihan, Pierre Chainais, David Brie	Quaternions in Signal and Image Processing: A comprehensive and objective overview.	IEEE Signal Process. Mag.	2023	DBLP DOI BibTeX RDF
19	Jonas Wittmann, Lukas Cha, Marco Kappertz, Philipp Seiwald, Daniel J. Rixen	Spherical Cubic Blends: $\mathcal{C}^{2}$-Continuous, Zero-Clamped, and Time-Optimized Interpolation of Quaternions.	ICRA	2023	DBLP DOI BibTeX RDF
19	Jon Arrizabalaga, Markus Ryll	Pose-Following with Dual Quaternions.	CDC	2023	DBLP DOI BibTeX RDF
19	Sahel Mohammad Iqbal, Subhankar Mishra	Neural Networks at a Fraction with Pruned Quaternions.	COMAD/CODS	2023	DBLP DOI BibTeX RDF
19	Slobodan Milanko	WUDA: Visualizing and Transforming Rotations in Real-Time with Quaternions and Smart Devices.	IEEE VIS (Short Papers)	2023	DBLP DOI BibTeX RDF
19	Daniel Condurache	Product of Exponential Formula of Multidual Quaternions and Higher-Order Kinematics.	CoDIT	2023	DBLP DOI BibTeX RDF
19	Wen Sun, Qingqiang Wu 0001, Xiaoli Wang, Junfeng Yao, Zhifeng Bao	Knowledge Graph Embedding with Relation Rotation and Entity Adjustment by Quaternions.	ADMA (4)	2023	DBLP DOI BibTeX RDF
19	Xin Tong 0006, Miao Chen, Fuhua Yang	Robust Hybrid Attitude and Gyro-Bias Observer on Quaternions.	IEEE Trans. Ind. Electron.	2022	DBLP DOI BibTeX RDF
19	Sadegh Jamshidpour, Sayed Mahmoud Sakhaei	Polynomial rooting-based DOA estimation algorithm for vector-sensor arrays using quaternions.	Multidimens. Syst. Signal Process.	2022	DBLP DOI BibTeX RDF
19	Chunhui Li, Hengguang Zou, Dawei Shi, Jiliang Song, Junzheng Wang	Proportional-Integral-Type Event-Triggered Coupled Attitude and Orbit Tracking Control Using Dual Quaternions.	IEEE Trans. Aerosp. Electron. Syst.	2022	DBLP DOI BibTeX RDF
19	Mine Uysal, Engin Özkan	Higher-Order Jacobsthal-Lucas Quaternions.	Axioms	2022	DBLP DOI BibTeX RDF
19	Wensheng Cao	Quadratic Equation in Split Quaternions.	Axioms	2022	DBLP DOI BibTeX RDF
19	Hong-Yang Lin, Marc Cahay, Badri N. Vellambi, Dennis Morris	A Generalization of Quaternions and Their Applications.	Symmetry	2022	DBLP DOI BibTeX RDF
19	Ben Kenwright	Inverse Kinematics with Dual-Quaternions, Exponential-Maps, and Joint Limits.	CoRR	2022	DBLP DOI BibTeX RDF
19	Thomas Wodtko, Markus Horn, Michael Buchholz, Klaus Dietmayer	Globally Optimal Multi-Scale Monocular Hand-Eye Calibration Using Dual Quaternions.	CoRR	2022	DBLP BibTeX RDF
19	Stephen Montgomery-Smith, Cecil Shy	Using dual quaternions in robotics.	CoRR	2022	DBLP BibTeX RDF
19	Stephen Montgomery-Smith, Cecil Shy	An introduction to using dual quaternions to study kinematics.	CoRR	2022	DBLP DOI BibTeX RDF
19	Guangsheng Ma, Hongbo Li	Quantum Fully Homomorphic Encryption by Integrating Pauli One-time Pad with Quaternions.	Quantum	2022	DBLP DOI BibTeX RDF
19	Takayuki Yamamoto, Kanta Miyazaki, Katsuyoshi Tsujita	Formulation of space debris nutation motion by quaternions and estimation of attitude motion using Kalman filter.	AIM	2022	DBLP DOI BibTeX RDF
19	Dai Quoc Nguyen, Thanh Vu, Tu Dinh Nguyen, Dinh Q. Phung	QuatRE: Relation-Aware Quaternions for Knowledge Graph Embeddings.	WWW (Companion Volume)	2022	DBLP DOI BibTeX RDF
19	Vrushabh Zinage, Efstathios Bakolas	Koopman Operator Based Modeling and Control of Rigid Body Motion Represented by Dual Quaternions.	ACC	2022	DBLP DOI BibTeX RDF
19	Antonin Leroux	Quaternion Algebra and isogeny-based cryptography. (Algèbres de quaternions et cryptographie à base d'isogénies).		2022	RDF
19	P. H. D. Arjuna S. Srimal	Video sharpness based barcodes with Bessel functions and quaternions for video summarization.		2022	RDF
19	Di Wang 0010, Xiaosu Xu 0001, Yang Yang, Tao Zhang 0008	A Quasi-Newton Quaternions Calibration Method for DVL Error Aided GNSS.	IEEE Trans. Veh. Technol.	2021	DBLP DOI BibTeX RDF
19	Songfeng Yang, Qiyuan Zhang, Xi Zhang, Donglie Liu	Impact of GPS/BDS Satellite Attitude Quaternions on Precise Point Positioning with Ambiguity Resolution.	Remote. Sens.	2021	DBLP DOI BibTeX RDF
19	Fabio Bobrow, Bruno A. Angelico, Flavius Portella Ribas Martins, Paulo S. P. da Silva	The Cubli: Modeling and Nonlinear Attitude Control Utilizing Quaternions.	IEEE Access	2021	DBLP DOI BibTeX RDF
19	Markus Horn, Thomas Wodtko, Michael Buchholz, Klaus Dietmayer	Online Extrinsic Calibration Based on Per-Sensor Ego-Motion Using Dual Quaternions.	IEEE Robotics Autom. Lett.	2021	DBLP DOI BibTeX RDF
19	Francisco Adasme-Carreño, Julio Caballero, Joel Ireta	PSIQUE: Protein Secondary Structure Identification on the Basis of Quaternions and Electronic Structure Calculations.	J. Chem. Inf. Model.	2021	DBLP DOI BibTeX RDF
19	Marcos Eduardo Valle, Fidelis Zanetti de Castro	On the Dynamics of Hopfield Neural Networks on Unit Quaternions.	CoRR	2021	DBLP BibTeX RDF
19	Vrushabh Zinage, Efstathios Bakolas	Koopman Operator Based Modeling and Control of Rigid Body Motion Represented by Dual Quaternions.	CoRR	2021	DBLP BibTeX RDF
19	Markus Horn, Thomas Wodtko, Michael Buchholz, Klaus Dietmayer	Online Extrinsic Calibration based on Per-Sensor Ego-Motion Using Dual Quaternions.	CoRR	2021	DBLP BibTeX RDF
19	Pierre Lance Tan, Virgilio P. Sison	Quaternions over Galois rings and their codes.	CoRR	2021	DBLP BibTeX RDF
19	Aston Zhang, Yi Tay, Shuai Zhang 0007, Alvin Chan, Anh Tuan Luu, Siu Cheung Hui, Jie Fu	Beyond Fully-Connected Layers with Quaternions: Parameterization of Hypercomplex Multiplications with 1/n Parameters.	CoRR	2021	DBLP BibTeX RDF
19	Eusebio Jiménez López, Daniel Servín De La Mora-Pulido, Luis Alfonso Reyes-Ávila, Raúl Servín De La Mora-Pulido, Javier Melendez-Campos, Aldo Augusto López-Martínez	Modeling of Inverse Kinematic of 3-DoF Robot, Using Unit Quaternions and Artificial Neural Network.	Robotica	2021	DBLP DOI BibTeX RDF
19	Peter M. Dickson, Philip J. Rae	The Application of Quaternions to Strap-Down MEMS Sensor Data.	Sensors	2021	DBLP DOI BibTeX RDF
19	Neil T. Dantam	Robust and efficient forward, differential, and inverse kinematics using dual quaternions.	Int. J. Robotics Res.	2021	DBLP DOI BibTeX RDF
19	Xiaoping Shi, Xuan Peng, Yupeng Gong	Immersion and Invariance Adaptive Control for Spacecraft Pose Tracking via Dual Quaternions.	Complex.	2021	DBLP DOI BibTeX RDF
19	Martin Roelfs, David Dudal, Daan Huybrechs	Quaternionic step derivative: Machine precision differentiation of holomorphic functions using complex quaternions.	J. Comput. Appl. Math.	2021	DBLP DOI BibTeX RDF
19	John A. Vince	Quaternions for Computer Graphics, Second Edition		2021	DOI RDF
19	Brett Thomas Lopez, Jean-Jacques E. Slotine	Sliding on Manifolds: Geometric Attitude Control with Quaternions.	ICRA	2021	DBLP DOI BibTeX RDF
19	Leonidas Koutras, Zoe Doulgeri	Exponential stability of trajectory tracking control in the orientation space utilizing unit quaternions.	IROS	2021	DBLP DOI BibTeX RDF
19	Abdallah T. H. Altalmas, Adwait Datar, Herbert Werner	Attitude Stabilization of a Quadrotor with Quaternions within the LPV framework.	ECC	2021	DBLP DOI BibTeX RDF
19	Leonidas Koutras, Zoe Doulgeri	Exponential stability of an attitude trajectory tracking controller utilizing unit quaternions.	ECC	2021	DBLP DOI BibTeX RDF
19	Thomas Wodtko, Markus Horn, Michael Buchholz, Klaus Dietmayer	Globally Optimal Multi-Scale Monocular Hand-Eye Calibration Using Dual Quaternions.	3DV	2021	DBLP DOI BibTeX RDF