Invariant algebras and geometric reasoning:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singarore
World Scientific
c2008
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 495-504) and index 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's most recent, original development of Grassmann-Cayley algebra and geometric algebra and their applications in automated reasoning of classical geometries. It includes 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 |
| Beschreibung: | 1 Online-Ressource (xiv, 518 p.) |
| ISBN: | 1281919004 9781281919007 9789812708083 9789812770110 9812708081 9812770119 |
Internformat
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| 500 | |a 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's most recent, original development of Grassmann-Cayley algebra and geometric algebra and their applications in automated reasoning of classical geometries. It includes 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 | ||
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Datensatz im Suchindex
| _version_ | 1804175561632776192 |
|---|---|
| any_adam_object | |
| author | Li, Hongbo |
| author_facet | Li, Hongbo |
| author_role | aut |
| author_sort | Li, Hongbo |
| author_variant | h l hl |
| building | Verbundindex |
| bvnumber | BV043126650 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)560635800 (DE-599)BVBBV043126650 |
| dewey-full | 512/.57 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.57 |
| dewey-search | 512/.57 |
| dewey-sort | 3512 257 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043126650 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:15Z |
| institution | BVB |
| isbn | 1281919004 9781281919007 9789812708083 9789812770110 9812708081 9812770119 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028550841 |
| oclc_num | 560635800 |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xiv, 518 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Li, Hongbo Verfasser aut Invariant algebras and geometric reasoning Hongbo Li Singarore World Scientific c2008 1 Online-Ressource (xiv, 518 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (p. 495-504) and index 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's most recent, original development of Grassmann-Cayley algebra and geometric algebra and their applications in automated reasoning of classical geometries. It includes 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 MATHEMATICS / Algebra / Linear bisacsh Clifford algebras fast Invariants fast Symmetry (Mathematics) fast Clifford algebras Invariants Symmetry (Mathematics) Geometrische Invariantentheorie (DE-588)4156712-2 gnd rswk-swf Euklidische Geometrie (DE-588)4137555-5 gnd rswk-swf Projektive Geometrie (DE-588)4047436-7 gnd rswk-swf Clifford-Algebra (DE-588)4199958-7 gnd rswk-swf Geometrische Algebra (DE-588)4156707-9 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://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=236092 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Li, Hongbo Invariant algebras and geometric reasoning MATHEMATICS / Algebra / Linear bisacsh Clifford algebras fast Invariants fast Symmetry (Mathematics) fast Clifford algebras Invariants Symmetry (Mathematics) Geometrische Invariantentheorie (DE-588)4156712-2 gnd Euklidische Geometrie (DE-588)4137555-5 gnd Projektive Geometrie (DE-588)4047436-7 gnd Clifford-Algebra (DE-588)4199958-7 gnd Geometrische Algebra (DE-588)4156707-9 gnd |
| subject_GND | (DE-588)4156712-2 (DE-588)4137555-5 (DE-588)4047436-7 (DE-588)4199958-7 (DE-588)4156707-9 |
| 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 | MATHEMATICS / Algebra / Linear bisacsh Clifford algebras fast Invariants fast Symmetry (Mathematics) fast Clifford algebras Invariants Symmetry (Mathematics) Geometrische Invariantentheorie (DE-588)4156712-2 gnd Euklidische Geometrie (DE-588)4137555-5 gnd Projektive Geometrie (DE-588)4047436-7 gnd Clifford-Algebra (DE-588)4199958-7 gnd Geometrische Algebra (DE-588)4156707-9 gnd |
| topic_facet | MATHEMATICS / Algebra / Linear Clifford algebras Invariants Symmetry (Mathematics) Geometrische Invariantentheorie Euklidische Geometrie Projektive Geometrie Clifford-Algebra Geometrische Algebra |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=236092 |
| work_keys_str_mv | AT lihongbo invariantalgebrasandgeometricreasoning |