• 4ti2

  • Referenced in 140 articles [sw04379]
  • software package for algebraic, geometric and combinatorial problems on linear spaces...
  • redbKIT

  • Referenced in 186 articles [sw12977]
  • aspects, and highlights their built-in algebraic and geometric structures. More specifically, the authors discuss...
  • Gaigen

  • Referenced in 34 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 226 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 27 articles [sw00313]
  • performance parallel computing based on conformal geometric algebra. We present Gaalop (Geometric algebra algorithms optimizer ... high-performance computing based on conformal geometric algebra. The main goal of Gaalop...
  • CLICAL

  • Referenced in 17 articles [sw20733]
  • alone calculator-type 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 ... semi-algebraic representations. These include parametric and implicit representations of geometric objects. Axel also provides...
  • 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...
  • GUAVA

  • Referenced in 21 articles [sw07729]
  • radius) quickly. Limited ability to compute algebraic geometric codes. Computer algebra system...
  • 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 17 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 compile-time 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...
  • 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...
  • 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...
  • Garamon

  • Referenced in 6 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...
  • GMac

  • Referenced in 8 articles [sw16028]
  • Optimized Automatic Code Generation for Geometric Algebra Based Algorithms with Ray Tracing Application. Automatic code ... high-level 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 GA-based geometric code generator, called GMac, is proposed. Comparisons...
  • Gaalet

  • Referenced in 7 articles [sw10859]
  • Gaalet - Geometric Algebra ALgorithms Expression Templates. C++ library for evaluation of geometric algebra expressions offering...
  • CHomP

  • Referenced in 46 articles [sw09358]
  • reduced to compact algebraic expressions that provide insight into underlying geometric structures and properties...
  • Cabri 3D

  • Referenced in 22 articles [sw06697]
  • volume of a pyramid, geometric meaning of algebraic expression and quadratic function. We follow...