Current survey of Clifford geometric algebra applications

Data encryption (aspects in computer science) (68P25) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Technical applications of optics and electromagnetic theory (78A55) Clifford algebras, spinors (15A66) Computational methods for problems pertaining to relativity and gravitational theory (83-08)

Cites Work

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Applications of Clifford's geometric algebra
Carrier method for the general evaluation and control of pose, molecular conformation, tracking, and the like
Conformal groups in geometry and spin structures
Oriented conformal geometric algebra and the molecular distance geometry problem
Consistently oriented dart-based 3D modelling by means of geometric algebra and combinatorial maps
Self-evident automated proving based on point geometry from the perspective of Wu's method identity
Automated theorem proving practice with null geometric algebra
Using raising and lowering operators from geometric algebra for electroweak theory in particle physics
Foundations of conic conformal geometric algebra and compact versors for rotation, translation and scaling
Calculating the rotor between conformal objects
Implementation and evaluation of medical imaging techniques based on conformal geometric algebra
On inner automorphisms preserving fixed subspaces of Clifford algebras
Uncertainty principle for space-time algebra-valued functions
Quaternionic step derivative: machine precision differentiation of holomorphic functions using complex quaternions
Energy-momentum complex in general relativity and gauge theory
An all-in-one geometric algorithm for cutting, tearing, and drilling deformable models
Generalizing classical Clifford algebras, graded Clifford algebras and their associated geometry
Adinkras: graphs of Clifford algebra representations, supersymmetry, and codes
Foundations for strip adjustment of airborne laserscanning data with conformal geometric algebra
On specific conic intersections in GAC and symbolic calculations in GAALOPWeb
An online calculator for quantum computing operations based on geometric algebra
New applications of Clifford's geometric algebra
Time series, hidden variables and spatio-temporal ordinality networks
Projection factors and generalized real and complex Pythagorean theorems
Self-reverse elements and lines in an algebra for 3D space
Fitting a planar quadratic slerp motion
Geometric structures over hypercomplex algebras
A generalised methodology using conformal geometric algebra for mathematical chemistry
A Clifford algebra-based mathematical model for the determination of critical temperatures in superconductors
GAALOPWeb for Matlab: an easy to handle solution for industrial geometric algebra implementations
On the Clifford algebraic description of transformations in a 3D Euclidean space
Efficient development of competitive Mathematica solutions based on geometric algebra with GAALOPWeb
Eigenvalue estimates for multi-form modified Dirac operators
Models of the universe based on Jordan algebras
NMR protein structure calculation and sphere intersections
Basis-free solution to Sylvester equation in Clifford algebra of arbitrary dimension
Three-dimensional quadrics in extended conformal geometric algebras of higher dimensions from control points, implicit equations and axis alignment
An unified CGA-based formal expression of spatio-temporal topological relations for Computation and analysis of geographic objects
Conic fitting in geometric algebra setting
Self-location of unmanned aerial vehicle using conformal geometric algebra
Geometric algebra to describe the exact discretizable molecular distance geometry problem for an arbitrary dimension
3D topological error detection for cadastral parcels based on conformal geometric algebra
Geometric algebra, gravity and gravitational waves
Direct linear interpolation of geometric objects in conformal geometric algebra
Sharp inequalities for geometric Fourier transform and associated ambiguity function
Formulation of the Snell-Descartes laws in terms of geometric algebra
Notes on Plücker's relations in geometric algebra
Local controllability of snake robots based on CRA, theory and practice
A 1d up approach to conformal geometric algebra: applications in line fitting and quantum mechanics
A low-memory time-efficient implementation of outermorphisms for higher-dimensional geometric algebras
On computable geometric expressions in quantum theory
Linear computational approach to interpolations with polynomial Minkowski Pythagorean hodograph curves
A hardware implementation for colour edge detection using Prewitt-inspired filters based on geometric algebra
Monte Carlo geometry modeling for particle transport using conformal geometric algebra
Group theoretic approach to fermion production
Boolean combination of circular arcs using orthogonal spheres
Conformal Villarceau rotors
Three-dimensional quadrics in conformal geometric algebras and their versor transformations
Calculation of elements of spin groups using method of averaging in Clifford's geometric algebra
Exploring novel surface representations via an experimental ray-tracer in CGA
Projective geometric algebra as a subalgebra of conformal geometric algebra
Two-state quantum systems revisited: a Clifford algebra approach
Conic and cyclidic sections in double conformal geometric algebra G8,2 with computing and visualization using Gaalop
Clifford and Spinor Cohomology of Kahler Manifolds
An Introduction to Clifford Algebras and Spinors
A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry
Exponentials of general multivector in 3D Clifford algebras
Geometric interpretations of gradednull monomials inconformal geometric algebra
Submaximally symmetric quaternion Hermitian structures
Geometric Algebra Applications Vol. II
Geometric Algebra Applications Vol. I
Berezin integral as a limit of Riemann sum
The homological projective dual of
Geometric-Algebra Adaptive Filters
Hypercomplex Widely Linear Estimation Through the Lens of Underpinning Geometry
Static energetics in gravity
Generalized Exponentials through Appell sets in R[sup n+1 and Bessel functions]
Fibrations spinorielles et twisteurs généralises
Dimensional scaffolding of electromagnetism using geometric algebra

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