Invariant algebras and geometric reasoning:
The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics - among them, Grassmann-Cayley algebra and Geometric Algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2008
|
| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics - among them, Grassmann-Cayley algebra and Geometric Algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other classical geometries. This book contains the author and his collaborators' most recent, original development of Grassmann-Cayley algebra and Geometric Algebra and their applications in automated reasoning of classical geometries. It includes two of the three advanced invariant algebras - Cayley bracket algebra, conformal geometric algebra, and null bracket algebra - for highly efficient geometric computing. They form the theory of advanced invariants, and capture the intrinsic beauty of geometric languages and geometric computing. Apart from their applications in discrete and computational geometry, the new languages are currently being used in computer vision, graphics and robotics by many researchers worldwide |
| Physical Description: | xiv, 518 p. ill |
| ISBN: | 9812770119 9789812770110 |
Staff View
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| author | Li, Hongbo |
| author_facet | Li, Hongbo |
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| dewey-ones | 512 - Algebra |
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| dewey-search | 512.57 |
| dewey-sort | 3512.57 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:57:45Z |
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| isbn | 9812770119 9789812770110 |
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| spelling | Li, Hongbo Verfasser aut Invariant algebras and geometric reasoning Hongbo, Li Singapore World Scientific Pub. Co. c2008 xiv, 518 p. ill txt rdacontent c rdamedia cr rdacarrier The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics - among them, Grassmann-Cayley algebra and Geometric Algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other classical geometries. This book contains the author and his collaborators' most recent, original development of Grassmann-Cayley algebra and Geometric Algebra and their applications in automated reasoning of classical geometries. It includes two of the three advanced invariant algebras - Cayley bracket algebra, conformal geometric algebra, and null bracket algebra - for highly efficient geometric computing. They form the theory of advanced invariants, and capture the intrinsic beauty of geometric languages and geometric computing. Apart from their applications in discrete and computational geometry, the new languages are currently being used in computer vision, graphics and robotics by many researchers worldwide Clifford algebras Invariants Symmetry (Mathematics) Geometrische Algebra (DE-588)4156707-9 gnd rswk-swf Clifford-Algebra (DE-588)4199958-7 gnd rswk-swf Euklidische Geometrie (DE-588)4137555-5 gnd rswk-swf Geometrische Invariantentheorie (DE-588)4156712-2 gnd rswk-swf Projektive Geometrie (DE-588)4047436-7 gnd rswk-swf Geometrische Algebra (DE-588)4156707-9 s Clifford-Algebra (DE-588)4199958-7 s Projektive Geometrie (DE-588)4047436-7 s Euklidische Geometrie (DE-588)4137555-5 s Geometrische Invariantentheorie (DE-588)4156712-2 s 1\p DE-604 http://www.worldscientific.com/worldscibooks/10.1142/6514#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Li, Hongbo Invariant algebras and geometric reasoning Clifford algebras Invariants Symmetry (Mathematics) Geometrische Algebra (DE-588)4156707-9 gnd Clifford-Algebra (DE-588)4199958-7 gnd Euklidische Geometrie (DE-588)4137555-5 gnd Geometrische Invariantentheorie (DE-588)4156712-2 gnd Projektive Geometrie (DE-588)4047436-7 gnd |
| subject_GND | (DE-588)4156707-9 (DE-588)4199958-7 (DE-588)4137555-5 (DE-588)4156712-2 (DE-588)4047436-7 |
| title | Invariant algebras and geometric reasoning |
| title_auth | Invariant algebras and geometric reasoning |
| title_exact_search | Invariant algebras and geometric reasoning |
| title_full | Invariant algebras and geometric reasoning Hongbo, Li |
| title_fullStr | Invariant algebras and geometric reasoning Hongbo, Li |
| title_full_unstemmed | Invariant algebras and geometric reasoning Hongbo, Li |
| title_short | Invariant algebras and geometric reasoning |
| title_sort | invariant algebras and geometric reasoning |
| topic | Clifford algebras Invariants Symmetry (Mathematics) Geometrische Algebra (DE-588)4156707-9 gnd Clifford-Algebra (DE-588)4199958-7 gnd Euklidische Geometrie (DE-588)4137555-5 gnd Geometrische Invariantentheorie (DE-588)4156712-2 gnd Projektive Geometrie (DE-588)4047436-7 gnd |
| topic_facet | Clifford algebras Invariants Symmetry (Mathematics) Geometrische Algebra Clifford-Algebra Euklidische Geometrie Geometrische Invariantentheorie Projektive Geometrie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/6514#t=toc |
| work_keys_str_mv | AT lihongbo invariantalgebrasandgeometricreasoning |