Results 21 to 30 of about 11,887 (293)

Advancement in Color Image Processing using Geometric Algebra [PDF]

open access: yes, 2008
This paper describes an advancement in color image processing, using geometric algebra. This is achieved using a compact representation of vectors within $n$ dimensional space. Geometric Algebra (GA) is a preferred framework for signal representation and
Mishra, Biswajit   +2 more
core   +1 more source

Gaalop - high performance parallel computing based on conformal geometric algebra

open access: yes, 2022
S.477-494We present Gaalop (Geometric algebra algorithms optimizer) our tool for high performance computing based on conformal geometric algebra.
Pitt, Joachim   +2 more
core   +1 more source

Aplikasi Aljabar Geometris Pada Teori Elektrodinamika Klasik

open access: yesJurnal Fourier, 2012
In this paper geometric algebra and its aplication in the theory of classical electrodynamic will  be studied. Geometric algebra provide many simplification and new insight in the theoretical formulation and physical aplication of theory.
Joko Purwanto
doaj   +1 more source

Geometric-algebra affine projection adaptive filter

open access: yesEURASIP Journal on Advances in Signal Processing, 2021
Geometric algebra (GA) is an efficient tool to deal with hypercomplex processes due to its special data structure. In this article, we introduce the affine projection algorithm (APA) in the GA domain to provide fast convergence against hypercomplex ...
Yuetao Ren, Yongfeng Zhi, Jun Zhang
doaj   +1 more source

Preface: Geometric and algebraic combinatorics [PDF]

open access: yesDesigns, Codes and Cryptography, 2012
The present issue of Designs, Codes and Cryptography is devoted to the theme “Geometric and Algebraic Combinatorics”. A central concept in this research area is the Association Scheme. On one hand it can be a tool for a better understanding of combinatorial objects, such as error correcting codes, block designs, point-line incidence geometries, and ...
Edwin R. van Dam, Willem H. Haemers
openaire   +2 more sources

Clustering of Questionnaire Based on Feature Extracted by Geometric Algebra [PDF]

open access: yes, 2008
Clustering is one of the most useful methods to understand similarity among data. However, most conventional clustering methods do not pay sufficient attention to geometric properties of data. Geometric algebra (GA) is a generalization of complex numbers
MINH, TUAN PHAM   +4 more
core   +1 more source

Universal corner symmetry and the orbit method for gravity

open access: yesNuclear Physics B, 2023
A universal symmetry algebra organizing the gravitational phase space has been recently found. It corresponds to the subset of diffeomorphisms that become physical at corners – codimension-2 surfaces supporting Noether charges.
Luca Ciambelli, Robert G. Leigh
doaj   +1 more source

Formalizing Geometric Algebra in Lean

open access: yesAdvances in Applied Clifford Algebras, 2022
AbstractThis paper explores formalizing Geometric (or Clifford) algebras into the Lean 3 theorem prover, building upon the substantial body of work that is the Lean mathematics library, . As we use Lean source code to demonstrate many of our ideas, we include a brief introduction to the Lean language targeted at a reader with no prior experience with ...
Wieser, Eric, Song, U
openaire   +3 more sources

Applications of Clifford’s Geometric Algebra [PDF]

open access: yesAdvances in Applied Clifford Algebras, 2013
26 pages, 91 ...
Eckhard Hitzer   +2 more
openaire   +3 more sources

A Clustering Method for Geometric Data based on Approximation using Conformal Geometric Algebra [PDF]

open access: yes, 2011
Clustering is one of the most useful methods for understanding similarity among data. However, most conventional clustering methods do not pay sufficient attention to the geometric properties of data. Geometric algebra (GA) is a generalization of complex
Furuhashi, Takeshi   +3 more
core   +1 more source

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