Understanding geometric algebra : Hamilton, Grassmann, and Clifford for computer vision and graphics /: Hamilton, Grassmann, and Clifford for computer vision and graphics. (2015)

• Record Type: Book
• Further Information: Note: Kenichi Kanatani.
• Authors: Kanatani, Kenʾichi, 1947-
• Contents: Introduction; PURPOSE OF THIS BOOK; ORGANIZATION OF THIS BOOK; OTHER FEATURES 3D Euclidean Geometry ; VECTORS; BASIS AND COMPONENTS; INNER PRODUCT AND NORM; VECTOR PRODUCTS; SCALAR TRIPLE PRODUCT; PROJECTION, REJECTION, AND REFLECTION; ROTATION; PLANES; LINES; PLANES AND LINES Oblique Coordinate Systems ; RECIPROCAL BASIS; RECIPROCAL COMPONENTS; INNER, VECTOR, AND SCALAR TRIPLE PRODUCTS; METRIC TENSOR; RECIPROCITY OF EXPRESSIONS; COORDINATE TRANSFORMATIONS Hamilton’s Quaternion Algebra ; QUATERNIONS; ALGEBRA OF QUATERNIONS; CONJUGATE, NORM, AND INVERSE; REPRESENTATION OF ROTATION BY QUATERNION Grassmann’s Outer Product Algebra ; SUBSPACES; OUTER PRODUCT ALGEBRA; CONTRACTION; NORM; DUALITY; DIRECT AND DUAL REPRESENTATIONS Geometric Product and Clifford Algebra; GRASSMANN ALGEBRA OF MULTIVECTORS; CLIFFORD ALGEBRA; PARITY OF MULTIVECTORS; GRASSMANN ALGEBRA IN THE CLIFFORD ALGEBRA; PROPERTIES OF THE GEOMETRIC PRODUCT; PROJECTION, REJECTION, AND REFLECTION; ROTATION AND GEOMETRIC PRODUCT; VERSORS Homogeneous Space and Grassmann-Cayley Algebra ; HOMOGENEOUS SPACE; POINTS AT INFINITY; PLUCKER COORDINATES OF LINES; PLUCKER COORDINATES OF PLANES; DUAL REPRESENTATION; DUALITY THEOREM Conformal Space and Conformal Geometry: Geometric Algebra; CONFORMAL SPACE AND INNER PRODUCT; REPRESENTATION OF POINTS, PLANES, AND SPHERES; GRASSMANN ALGEBRA IN CONFORMAL SPACE; DUAL REPRESENTATION; CLIFFORD ALGEBRA IN THE CONFORMAL SPACE; CONFORMAL GEOMETRY Camera Imaging and Conformal Transformations; PERSPECTIVE CAMERAS; FISHEYE LENS CAMERAS; OMNIDIRECTIONAL CAMERAS; 3D ANALYSIS OF OMNIDIRECTIONAL IMAGES; OMNIDIRECTIONAL CAMERAS WITH HYPERBOLIC AND ELLIPTIC MIRRORS Answers Bibliography Index Supplemental Notes and Exercises appear at the end of each chapter.
• Edition: 1st
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2015
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 006.60151257; Computer graphics -- Mathematics; Computer vision -- Mathematics; Clifford algebras
• Languages: English
• ISBNs: 9781482259513
• Related ISBNs: 9781482259506
• Notes: Note: Description based on CIP data; item not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.