rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Geometric Algebra Computing
    sub title: in Engineering and Computer Science
  name:
    name part: Bayro-Corrochano, Eduardo.
    role:
      role term: editor.
  name:
    name part: Scheuermann, Gerik.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxk
    date issued: 2010
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXII, 526 p. online resource.
  abstract: Geometric algebra provides a rich and general mathematical framework for the development of solutions, concepts and computer algorithms without losing geometric insight into the problem in question. Many current mathematical subjects can be treated in an unified manner without abandoning the mathematical system of geometric algebra, such as multilinear algebra, projective and affine geometry, calculus on manifolds, Riemann geometry, the representation of Lie algebras and Lie groups using bivector algebras, and conformal geometry. Geometric Algebra Computing in Engineering and Computer Science presents contributions from an international selection of experts in the field. This useful text/reference offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. The book also provides an introduction to advanced screw theory and conformal geometry. Written in an accessible style, the discussion of all applications is enhanced by the inclusion of numerous examples, figures and experimental analysis. Topics and features: Provides a thorough discussion of several tasks for image processing, pattern recognition, computer vision, robotics and computer graphics using the geometric algebra framework Introduces nonspecialists to screw theory in the geometric algebra framework, offering a tutorial on conformal geometric algebra and an overview of recent applications of geometric algebra Explores new developments in the domain of Clifford Fourier Transforms and Clifford Wavelet Transform, including novel applications of Clifford Fourier transforms for 3D visualization and colour image spectral analysis Presents a detailed study of fluid flow problems with quaternionic analysis Examines new algorithms for geometric neural computing and cognitive systems Analyzes computer software packages for extensive calculations in geometric algebra, investigating the algorithmic complexity of key geo…
  table of contents: Geometric Algebra -- New Tools for Computational Geometry and Rejuvenation of Screw Theory -- Tutorial: Structure-Preserving Representation of Euclidean Motions Through Conformal Geometric Algebra -- Engineering Graphics in Geometric Algebra -- Parameterization of 3D Conformal Transformations in Conformal Geometric Algebra -- Clifford Fourier Transform -- Two-Dimensional Clifford Windowed Fourier Transform -- The Cylindrical Fourier Transform -- Analyzing Real Vector Fields with Clifford Convolution and Clifford–Fourier Transform -- Clifford–Fourier Transform for Color Image Processing -- Hilbert Transforms in Clifford Analysis -- Image Processing, Wavelets and Neurocomputing -- Geometric Neural Computing for 2D Contour and 3D Surface Reconstruction -- Geometric Associative Memories and Their Applications to Pattern Classification -- Classification and Clustering of Spatial Patterns with Geometric Algebra -- QWT: Retrospective and New Applications -- Computer Vision -- Image Sensor Model Using Geometric Algebra: From Calibration to Motion Estimation -- Model-Based Visual Self-localization Using Gaussian Spheres -- Conformal mapping and Fluid Analysis -- Geometric Characterization of Geometric Algebra -- Some Applications of Gröbner Bases in Robotics and Engineering.
  note: edited by Eduardo Bayro-Corrochano, Gerik Scheuermann.
  subject:
    topic: Computer science
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Artificial intelligence
  subject:
    topic: Computer simulation
  subject:
    topic: Computer graphics
  subject:
    topic: Computer-aided engineering
  subject:
    topic: Computer Science
  subject:
    topic: Computer-Aided Engineering (CAD, CAE) and Design
  subject:
    topic: Math Applications in Computer Science
  subject:
    topic: Artificial Intelligence (incl. Robotics)
  subject:
    topic: Simulation and Modeling
  subject:
    topic: Computer Imaging, Vision, Pattern Recognition and Graphics
  classification: TA345-345.5
  classification: 620.00420285
  related item:
    title info:
      title: Springer eBooks
  identifier: 9781849961080
  identifier: http://dx.doi.org/10.1007/978-1-84996-108-0
  record info:
    record creation date: 100528
    record change date: 20151125162245.0
    record identifier: 978-1-84996-108-0