
redbKIT
 Referenced in 255 articles
[sw12977]
 aspects, and highlights their builtin algebraic and geometric structures. More specifically, the authors discuss...

4ti2
 Referenced in 147 articles
[sw04379]
 software package for algebraic, geometric and combinatorial problems on linear spaces...

Gaigen
 Referenced in 36 articles
[sw04958]
 program which can generate implementations of geometric algebras. It generates C++ and C source code ... which implements a geometric algebra requested by the user. The choice to create a program ... scientific) research and experimentation, many geometric algebras with different dimensionality, signatures and other properties ... generate the code for exactly the geometric algebra the user requires. This code...

Geometer's Sketchpad
 Referenced in 228 articles
[sw04858]
 lines, and geometric patterns. Middle school students can build their readiness for algebra by exploring ... Sketchpad to construct and transform geometric shapes and functions—from linear to trigonometric—promoting deep ... computer lab or on laptops. Computer algebra system...

Gaalop
 Referenced in 28 articles
[sw00313]
 performance parallel computing based on conformal geometric algebra. We present Gaalop (Geometric algebra algorithms optimizer ... highperformance computing based on conformal geometric algebra. The main goal of Gaalop...

CLICAL
 Referenced in 17 articles
[sw20733]
 alone calculatortype computer program for geometric algebras of multivectors, called Clifford algebras. CLICAL evaluates ... multivectors in Clifford algebras. CLICAL works directly on intrinsic geometric objects: lines, planes and volumes ... most notably an online geometric calculator, two symbolic computer algebra packages ... MapleV5, one for Mathematica, MatLab geometric algebra tutotial, and C++ Template Classes for Geometric Algebras...

Axel
 Referenced in 22 articles
[sw06457]
 Axel is an algebraic geometric modeler that aims at providing “algebraic modeling” tools ... semialgebraic representations. These include parametric and implicit representations of geometric objects. Axel also provides...

GUAVA
 Referenced in 22 articles
[sw07729]
 radius) quickly. Limited ability to compute algebraic geometric codes. Computer algebra system...

GABLE
 Referenced in 15 articles
[sw12403]
 GABLE: A Matlab Geometric Algebra Tutorial. GABLE was a prototype geometric algebra system. The prototype ... Java libraries for geometric algebra. However, feel free to download the Matlab software and tutorial...

KamiWaAi
 Referenced in 13 articles
[sw01954]
 defined and manipulated in a conformal geometric algebra, combining the five dimensions of origin, three ... infinity. Simple geometric products in this algebra represent geometric unions, intersections, arbitrary rotations and translations ... free implementation of this fundamental geometric product, a new algebraic three level approach is presented...

Dirac++
 Referenced in 18 articles
[sw37208]
 class library to model the geometric algebra representation of spinors that we use for representing...

Versor
 Referenced in 10 articles
[sw12518]
 library for Euclidean and Conformal Geometric Algebra. Versor is a C++ Library for Geometric Algebra ... draw routines. Version 2.0 generates optimized geometric algebra code at compiletime through template meta...

GAviewer
 Referenced in 10 articles
[sw10858]
 GAviewer, interactive visualization software for geometric algebra. Geometric algebra is a consistent computational framework ... geometric programming. It has new, geometrically meaningful products to calculate directly with the subspaces ... capability considerably reinforces and extends the linear algebra techniques traditionally used in computer graphics...

Garamon
 Referenced in 8 articles
[sw30354]
 Garamon: a geometric algebra library generator. This paper presents both a recursive scheme to perform ... Geometric Algebra operations over a prefix tree, and Garamon, a C++ library generator implementing these ... dimension vector spaces, precomputing all the Geometric Algebra products is an efficient strategy, it fails ... support for a recursive formulation of Geometric Algebra operations. This recursive approach presents a much...

FABRIK
 Referenced in 10 articles
[sw09382]
 Inverse kinematics solutions using conformal geometric algebra. This paper describes a novel iterative Inverse Kinematics ... FABRIK, that is implemented using Conformal Geometric Algebra (CGA). FABRIK uses a forward and backward ... taking advantage of CGA’s compact and geometrically intuitive framework and that basic entities ... planes and circles, are simply represented by algebraic objects. This approach can be used...

GMac
 Referenced in 9 articles
[sw16028]
 Optimized Automatic Code Generation for Geometric Algebra Based Algorithms with Ray Tracing Application. Automatic code ... highlevel geometric domain specific language. Geometric Algebra (GA) is one of the most suitable ... algebraic systems for being the base for such code generator. This work presents an attempt ... idea in practice. A novel GAbased geometric code generator, called GMac, is proposed. Comparisons...

LOOK
 Referenced in 12 articles
[sw02276]
 discuss a new kernel design for geometric computation in the plane. It combines different kinds ... exact computation with rational and algebraic geometric objects. It is the first kernel design which...

CHomP
 Referenced in 51 articles
[sw09358]
 reduced to compact algebraic expressions that provide insight into underlying geometric structures and properties...

NSU3D
 Referenced in 18 articles
[sw39789]
 overall solution procedure based on geometric and algebraic multigrid principles. The multigrid solver, in turn...

Cliffosor
 Referenced in 6 articles
[sw21063]
 innovative FPGAbased architecture for geometric algebra. Geometric objects representation and their transformationsare ... involvedto model and render 3D scenery. Geometric algebra (a.k.a.Clifford algebra) is gaining growing attention ... naturalway to model geometric facts coupled with its being a powerfulanalytical tool for symbolic calculations ... analogous operations in GAIGEN, astandard geometric algebra library generator for generalpurpose processors...