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2002, K & E series on knots and everything, ISBN 9789810232962, Volume 17., xv, 144
Book
Indiana University Mathematics Journal, ISSN 0022-2518, 1/2009, Volume 58, Issue 6, pp. 2729 - 2764
Journal Article
Signal Processing, ISSN 0165-1684, 02/2019, Volume 155, pp. 334 - 345
•An adaptive weighted quaternion color distance method.•An effective coarse-to-fine impulse noise detection operator.•Quaternion ROR and LRD. The measure of... 
Vector filter | Impulse noise | Quaternion | Color image | SWITCHING MEDIAN FILTER | REMOVAL | ENGINEERING, ELECTRICAL & ELECTRONIC | Computer science | Equipment and supplies | Image processing | Noise control
Journal Article
Journal of Mathematical Imaging and Vision, ISSN 0924-9907, 10/2009, Volume 35, Issue 2, pp. 155 - 164
3D rotations arise in many computer vision, computer graphics, and robotics problems and evaluation of the distance between two 3D rotations is often an... 
Quaternions | 3D rotations | Lie algebra | Distance functions | Matrix Lie group | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Computer science | Machine vision | Graphics software
Journal Article
Journal of Number Theory, ISSN 0022-314X, 2009, Volume 129, Issue 6, pp. 1562 - 1578
Let L be a totally real field of strict class number one and let O L be its ring of integers. Let p be a rational prime which is unramified in L. We consider... 
Superspecial abelian variety | Theta series | Real multiplication | CM lift | Quaternion algebra | Isogeny | MATHEMATICS
Journal Article
Mechanism and Machine Theory, ISSN 0094-114X, 2010, Volume 45, Issue 9, pp. 1239 - 1251
Several existing formulations for the rotation average are reviewed and classified into the Euclidean and Riemannian solutions. A novel, more efficient... 
Rotation matrix | Rigid body | Quaternion | Rotation vector | Average rotation | Euclidean | Riemannian | DISTANCE | ALGORITHMS | ENGINEERING, MECHANICAL
Journal Article
Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference, ISSN 1557-170X, 07/2018, Volume 2018, pp. 5790 - 5793
Recently, numerous comprehensive studies have been concentrating on the intricate kinematics of the wrist joint functionality captured with dart thrower's... 
Journal Article
Multimedia Tools and Applications, ISSN 1380-7501, 01/2019, Volume 78, Issue 2, pp. 2525 - 2550
Journal Article
Ultramicroscopy, ISSN 0304-3991, 10/2013, Volume 133, pp. 16 - 25
Electron backscatter diffraction (EBSD) studies of cellular or subgrain microstructures present problems beyond those in the study of coarse-grained... 
Electron backscatter diffraction | Quaternions | Clustering | Fast multiscale clustering | Mahalanobis distance | ALGORITHMS | MICROSCOPY | Microscopy, Electron, Transmission - methods | Algorithms | Imaging, Three-Dimensional - methods | Analysis | Segmentation | Data sets | Representations | Boundaries | Electron back scatter diffraction
Journal Article
The Journal of Chemical Physics, ISSN 0021-9606, 06/2016, Volume 144, Issue 21, p. 214108
Journal Article
Journal of Elasticity, ISSN 0374-3535, 1/2009, Volume 94, Issue 1, pp. 1 - 13
We consider the problem of finding the transversely isotropic elasticity tensor closest to a given elasticity tensor with respect to the Frobenius norm. A... 
Hookean solid | Effective medium | Frobenius norm | Physics | 15A72 | Quaternions | Anisotropy | 74B05 | Log-Euclidean distance | Euclidean distance | Mechanics | Transverse isotropy | Automotive Engineering | 15A90 | MECHANICS | SYMMETRY | ENGINEERING, MULTIDISCIPLINARY | MATERIALS SCIENCE, MULTIDISCIPLINARY | Mathematical optimization | Studies
Journal Article
Zhejiang da xue xue bao. Zi ran ke xue ban = Journal of Zhejiang University, ISSN 0253-9861, 01/2017, Volume 51, Issue 10
A registration method from three-dimensional depth image to three-dimensional geometric models was proposed aiming at laser scanning point cloud data from... 
Matching | Rigid structures | Coordinate transformations | Quaternions | Mathematical analysis | Registration | Correlation coefficients | Error correction | Iterative methods | Three dimensional models | Curvature | Invariants
Journal Article
2018 Eleventh International Conference on Mobile Computing and Ubiquitous Network (ICMU), 10/2018, pp. 1 - 2
Localization of persons in the building after a disaster occurs is one of prominent issues for rescuing them and also it is technically challenging,... 
Rotation Vector Sensor | Dead reckoning | Quaternions | Earthquakes | Turning | Personal Dead Reckoning | Face | Localization | Floors
Conference Proceeding
Shanghai Hai Shi Da Xue Xue Bao = Journal of Shanghai Maritime University, ISSN 1672-9498, 01/2018, Issue 1, p. 13
When ship domain is used to make the decision of collision avoidance,the majority of the chosen ship domain only applies to certain waters,and the considered... 
Evaluation | International regulations | Computer simulation | Risk | Traffic accidents & safety | Optimization | Risks | Algorithms | Quaternions | Ships | Ship domains | Collisions | Swarm intelligence | Avoidance reactions | Objective function | Deviation | Collision avoidance | Distance
Journal Article
2016 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA), 12/2016, pp. 1 - 4
In this paper, a simple and efficient method, based on Quaternionic Distance Based Weber Descriptor (QDWD) and object cues, is proposed for saliency detection.... 
Visualization | Image segmentation | Image color analysis | Quaternions | Computational modeling | Color | Electronic mail
Conference Proceeding
Journal of Algebra, ISSN 0021-8693, 11/2015, Volume 441, pp. 475 - 551
We study the non-uniqueness of factorizations of non zero-divisors into atoms (irreducibles) in noncommutative rings. To do so, we extend concepts from the... 
Krull monoids | Maximal orders | Distances | Non-unique factorization | Noncommutative rings | Noncommutative semigroups | CATENARY | UNIQUE FACTORIZATION | NUMBER-THEORY | MATHEMATICS | DECOMPOSITIONS | QUATERNION ORDERS | DIRECTED-GRAPHS | DIVISION RINGS | ALGEBRAS | WEDDERBURN POLYNOMIALS | Computer science | Analysis | Algebra | Mathematics - Rings and Algebras
Journal Article
Jisuanji Jicheng Zhizao Xitong/Computer Integrated Manufacturing Systems, CIMS, ISSN 1006-5911, 01/2014, Volume 20, Issue 1, pp. 128 - 133
Journal Article
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