Volume 27, Issue 3

Search all Advances in Applied Clifford Algebras articles

September 2017

Special Issue: Geometric Algebra in Computer Science and Engineering (Pages: 1943–2234) ; Regular Articles: (Pages: 2235–2900)

Issue Editors:

Dietmar Hildenbrand,
Eckhard Hitzer,
George Papagiannakis

48 articles in this issue

Preface for Special Issue on Geometric Algebra in Computer Science and Engineering
Dietmar Hildenbrand
Eckhard Hitzer
George Papagiannakis
EditorialNotes 15 July 2017 Pages: 1943 - 1944
Binocular Computer Vision Based on Conformal Geometric Algebra
Jaroslav Hrdina
Aleš Návrat
OriginalPaper 20 February 2017 Pages: 1945 - 1959
Object Detection in Point Clouds Using Conformal Geometric Algebra
Aksel Sveier
Adam Leon Kleppe
Olav Egeland
OriginalPaper Open access 16 February 2017 Pages: 1961 - 1976
A Hierarchical Representation and Computation Scheme of Arbitrary-dimensional Geometrical Primitives Based on CGA
Wen Luo
Yong Hu
Guonian Lü
OriginalPaper 24 June 2016 Pages: 1977 - 1995
Constructing Voronoi Diagrams from Hollow Spheres Using Conformal Geometric Algebra
Netz Romero
Ricardo Barrón-Fernández
Salvador Godoy-Calderón
OriginalPaper 10 May 2017 Pages: 1997 - 2017
Practical Geometric Modeling Using Geometric Algebra Motors
Mauricio Cele Lopez Belon
Dietmar Hildenbrand
OriginalPaper 01 April 2017 Pages: 2019 - 2033
Motor Estimation using Heterogeneous Sets of Objects in Conformal Geometric Algebra
Lars Tingelstad
Olav Egeland
OriginalPaper Open access 14 June 2016 Pages: 2035 - 2049
A Conformal Geometric Algebra Code Generator Comparison for Virtual Character Simulation in Mixed Reality
Margarita Papaefthymiou
Dietmar Hildenbrand
George Papagiannakis
OriginalPaper 08 June 2016 Pages: 2051 - 2066
Efficient Implementation of Inverse Kinematics on a 6-DOF Industrial Robot using Conformal Geometric Algebra
Sondre Sanden Tørdal
Geir Hovland
Ilya Tyapin
OriginalPaper 23 June 2016 Pages: 2067 - 2082
Analytical Mobility Analysis of Bennett Linkage Using Geometric Algebra
Xinxue Chai
Qinchuan Li
OriginalPaper 11 April 2017 Pages: 2083 - 2095
Singularity Analysis of 3-RPR Parallel Manipulators Using Geometric Algebra
Huijing Yao
Qiaohong Chen
Qinchuan Li
OriginalPaper 30 May 2017 Pages: 2097 - 2113
GAPPCO: An Easy to Configure Geometric Algebra Coprocessor Based on GAPP Programs
D. Hildenbrand
S. Franchini
S. Vitabile
OriginalPaper 13 January 2017 Pages: 2115 - 2132
A Geometric Algebra Implementation using Binary Tree
Stéphane Breuils
Vincent Nozick
Laurent Fuchs
OriginalPaper 16 March 2017 Pages: 2133 - 2151
Massive Geometric Algebra: Visions for C++ Implementations of Geometric Algebra to Scale into the Big Data Era
Werner Benger
Wolfgang Dobler
OriginalPaper 10 April 2017 Pages: 2153 - 2174
Double Conformal Geometric Algebra
Robert Benjamin Easter
Eckhard Hitzer
OriginalPaper 20 April 2017 Pages: 2175 - 2199
Centrohermitian and Skew-Centrohermitian Solutions to the Minimum Residual and Matrix Nearness Problems of the Quaternion Matrix Equation \({(AXB,DXE) = (C,F)}\)
S. Şimşek
M. Sarduvan
H. Özdemir
OriginalPaper 31 May 2016 Pages: 2201 - 2214
General Steerable Two-sided Clifford Fourier Transform, Convolution and Mustard Convolution
Eckhard Hitzer
OriginalPaper 09 June 2016 Pages: 2215 - 2234
Transgression Field Theory at the Interface of Topological Insulators
Özgür Açık
Ümit Ertem
OriginalPaper 14 February 2017 Pages: 2235 - 2245
The Theory of Local Mass Dimension One Fermions of Spin One Half
Dharam Vir Ahluwalia
OriginalPaper 30 March 2017 Pages: 2247 - 2285
Some Ultraspheroidal Monogenic Clifford Gegenbauer Jacobi Polynomials and Associated Wavelets
Sabrine Arfaoui
Anouar Ben Mabrouk
OriginalPaper 29 May 2017 Pages: 2287 - 2306
A New Polar Representation for Split and Dual Split Quaternions
Ali Atasoy
Erhan Ata
Yasemin Kemer
OriginalPaper 03 July 2017 Pages: 2307 - 2319
Bicomplex Harmonic and Isotonic Oscillators: The Excited States
Abhijit Banerjee
OriginalPaper 16 March 2017 Pages: 2321 - 2332
Einstein Metrics Induced by Natural Riemann Extensions
Cornelia-Livia Bejan
Şemsi Eken Meriç
Erol Kılıç
OriginalPaper 21 March 2017 Pages: 2333 - 2343
The Integration of Angular Velocity
Michael Boyle
OriginalPaper 27 May 2017 Pages: 2345 - 2374
Higher-Dimensional Representations of \(\mathsf {SL}_2\) and its Real Forms Via Plücker Embedding
Danail S. Brezov
OriginalPaper 23 February 2017 Pages: 2375 - 2392
Generalizations of Schwarzschild and (Anti) de Sitter Metrics in Clifford Spaces
Carlos Castro
OriginalPaper 20 February 2017 Pages: 2393 - 2405
Differential Calculi on \({\mathbb {Z}}_3\)-Graded Grassmann Plane
Salih Celik
Sultan A. Celik
OriginalPaper 06 January 2017 Pages: 2407 - 2427
Uncertainty Principles for the Clifford–Fourier Transform
Jamel El Kamel
Rim Jday
OriginalPaper 22 May 2017 Pages: 2429 - 2443
Quaternionic Aharonov–Bohm Effect
Sergio Giardino
OriginalPaper 07 March 2017 Pages: 2445 - 2456
Four-Dimensional Conformal Field Theory using Quaternions
Sergio Giardino
OriginalPaper 17 April 2017 Pages: 2457 - 2471
The Solution of a Generalized Sylvester Quaternion Matrix Equation and Its Application
Guang-Jing Song
Shaowen Yu
OriginalPaper 22 April 2017 Pages: 2473 - 2492
Riemann–Hilbert Problems for Monogenic Functions on Upper Half Ball of \({\mathbb {R}}^4\)
Min Ku
Ying Wang
Uwe Kähler
OriginalPaper 19 May 2017 Pages: 2493 - 2508
Cramer’s Rules for Some Hermitian Coquaternionic Matrix Equations
Ivan Kyrchei
OriginalPaper 09 January 2017 Pages: 2509 - 2529
Generalized Cauchy Theorem in Clifford Analysis and Boundary Value Problems for Regular Functions
Weiyu Luo
Jinyuan Du
OriginalPaper 29 May 2017 Pages: 2531 - 2583
Derivations and Linear Connections on Clifford Vector Bundles
Mircea Martin
OriginalPaper 03 March 2017 Pages: 2585 - 2605
The Non-metricity Formulation of General Relativity
Igor Mol
OriginalPaper 03 January 2017 Pages: 2607 - 2638
The Dirac–Hestenes Equation and its Relation with the Relativistic de Broglie–Bohm Theory
Antônio M. Moya
Waldyr Alves Rodrigues Jr.
Samuel A. Wainer
OriginalPaper 04 April 2017 Pages: 2639 - 2657
Niven’s Algorithm Applied to the Roots of the Companion Polynomial Over \({{\mathbb {R}}}^4\) Algebras
Gerhard Opfer
OriginalPaper 13 June 2017 Pages: 2659 - 2675
Pseudo-bundles of Exterior Algebras as Diffeological Clifford Modules
Ekaterina Pervova
OriginalPaper 14 March 2017 Pages: 2677 - 2737
Mass, Zero Mass and ...Nophysics
R. Saar
S. Groote
OriginalPaper 16 February 2017 Pages: 2739 - 2768
Fock Representations and Deformation Quantization of Kähler Manifolds
Akifumi Sako
Hiroshi Umetsu
OriginalPaper 12 January 2017 Pages: 2769 - 2794
Intersection of a Double Cone and a Line in the Split-Quaternions Context
R. Serôdio
P. D. Beites
José Vitória
OriginalPaper 16 June 2017 Pages: 2795 - 2803
Quaternionic Wiener Algebras, Factorization and Applications
Yonatan Shelah
OriginalPaper 06 January 2017 Pages: 2805 - 2840
Rotations on a Lightcone in Minkowski 3-Space
Hakan Simsek
Mustafa Özdemir
OriginalPaper 16 March 2017 Pages: 2841 - 2853
Graded Clifford Algebras and Graded Skew Clifford Algebras and Their Role in the Classification of Artin–Schelter Regular Algebras
Padmini Veerapen
OriginalPaper 12 June 2017 Pages: 2855 - 2871
A Note on Evolution of Curves in the Minkowski Spaces
Önder Gökmen Yıldız
Murat Tosun
OriginalPaper 20 February 2017 Pages: 2873 - 2884
On the representation dimension of smash products
Lijing Zheng
Chonghui Huang
Qianhong Wan
OriginalPaper 19 April 2017 Pages: 2885 - 2897
Erratum to: Some Matrix Representations of Fibonacci Quaternions and Octonions
Serpil Halici
Adnan Karataş
Erratum 29 May 2017 Pages: 2899 - 2900

Volume 27, Issue 3

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