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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
230418b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780367241711 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
516.35 |
| Item number |
KAN |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Kanatani, Kenichi |
| 245 ## - TITLE STATEMENT |
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| Title |
Understanding geometric algebra : Hamilton, Grassmann, and Clifford for computer vision and graphics |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
CRC Press, |
| Place of publication, distribution, etc |
Boca Raton : |
| Date of publication, distribution, etc |
2015 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xv, 192 p. ; |
| Other physical details |
ill., |
| Dimensions |
25 cm |
| 365 ## - TRADE PRICE |
|---|
| Unit of pricing |
01 |
| Price amount |
995.00 |
| Price type code |
INR |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Clifford algebras |
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| Topical term or geographic name as entry element |
Antisymmetrization |
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| Topical term or geographic name as entry element |
Bivector |
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| Topical term or geographic name as entry element |
Clifford algebra |
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| Topical term or geographic name as entry element |
Cayley algebra |
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| Topical term or geographic name as entry element |
Dual representation |
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| Topical term or geographic name as entry element |
Fisheye lens |
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| Topical term or geographic name as entry element |
Geometric algebra |
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| Topical term or geographic name as entry element |
Grassman algebra |
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| Topical term or geographic name as entry element |
Homogeneous space |
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| Topical term or geographic name as entry element |
Image sphere |
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| Topical term or geographic name as entry element |
Metric tensor |
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| Topical term or geographic name as entry element |
Non-Euclidean space |
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| Topical term or geographic name as entry element |
Orthogonal complement |
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| Topical term or geographic name as entry element |
Outer product |
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| Topical term or geographic name as entry element |
Pliicker coordinates |
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| Topical term or geographic name as entry element |
Quaternion |
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| Topical term or geographic name as entry element |
Rotation matrix |
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| Topical term or geographic name as entry element |
Scaler triple product |
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| Topical term or geographic name as entry element |
Trivector |
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| Topical term or geographic name as entry element |
Versor |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |