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: Understanding geometric algebra
    sub title: Hamilton, Grassmann, and Clifford for computer vision and graphics
  name:
    name part: Kanatani, Kenichi
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2015
    copyright date: 2015
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xv, 192 pages) : illustrations
  abstract: Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics introduces geometric algebra with an emphasis on the background mathematics of Hamilton, Grassmann, and Clifford. It shows how to describe and compute geometry for 3D modeling applications in computer graphics and computer vision. Unlike similar texts, this book first gives separate descriptions of the various algebras and then explains how they are combined to define the field of geometric algebra. It starts with 3D Euclidean geometry along with discussions as to how the descriptions of geometry could be altered if using a non-orthogonal (oblique) coordinate system. The text focuses on Hamilton's quaternion algebra, Grassmann's outer product algebra, and Clifford algebra that underlies the mathematical structure of geometric algebra. It also presents points and lines in 3D as objects in 4D in the projective geometry framework; explores conformal geometry in 5D, which is the main ingredient of geometric algebra; and delves into the mathematical analysis of camera imaging geometry involving circles and spheres. With useful historical notes and exercises, this book gives readers insight into the mathematical theories behind complicated geometric computations. It helps readers understand the foundation of today's geometric algebra.
  table of contents: Chapter 1. Introduction -- chapter 2. 3d Euclidean geometry -- chapter 3. Oblique coordinate systems -- chapter 4. Hamilton's quaternion algebra -- chapter 5. Grassmann's outer product algebra -- chapter 6. Geometric product and Clifford algebra -- chapter 7. Homogeneous space and Grassmann-Cayley algebra -- chapter 8. Conformal space and conformal geometry : geometric algebra -- chapter 9. Camera imaging and conformal transformations.
  note: Kenichi Kanatani.
  note: Includes bibliographical references.
  subject:
    topic: Clifford algebras
  subject:
    topic: Algebra
  subject:
    topic: Geometry
  subject:
    topic: Algèbres de Clifford
  subject:
    topic: Algèbre
  subject:
    topic: Géométrie
  subject:
    topic: algebra
  subject:
    topic: geometry
  subject:
    topic: MATHEMATICS
    topic: Algebra
    topic: Intermediate
  subject:
    topic: Algebra
  subject:
    topic: Clifford algebras
  subject:
    topic: Geometry
  classification: QA199 .K36 2015eb
  classification: 512.57
  related item:
    title info:
      title: Chapman & Hall Book
  related item:
    title info:
      title: Understanding geometric algebra
    name:
      name part: Kanatani, Kenichi.
    origin info:
      publisher: [Place of publication not identified] : Ak Peters, 2015
    identifier: (OCoLC)894625983
  identifier: 9781482259513
  identifier: 1482259516
  identifier: 1482259508
  identifier: 9781482259506
  identifier: 9780429157127
  identifier: 0429157126
  identifier: TANDF_373574 Ingram Content Group
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: N$T
    record creation date: 150402
    record change date: 20250728184621.9
    record identifier: in00005652855
    language of cataloging:
      language term: eng