Polyhedral and algebraic methods in computational geometry:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London ; Heidelberg ; New York ; Dodrecht
Springer
2013
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 URL des Erstveröffentlichers Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (x, 250 Seiten) |
| ISBN: | 9781447148173 |
| DOI: | 10.1007/978-1-4471-4817-3 |
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Datensatz im Suchindex
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|---|---|
| adam_text | POLYHEDRAL AND ALGEBRAIC METHODS IN COMPUTATIONAL GEOMETRY
/ JOSWIG, MICHAEL
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION AND OVERVIEW
GEOMETRIC FUNDAMENTALS
POLYTOPES AND POLYHEDRA
LINEAR PROGRAMMING
COMPUTATION OF CONVEX HULLS
VORONOI DIAGRAMS
DELONE TRIANGULATIONS
ALGEBRAIC AND GEOMETRIC FOUNDATIONS
GROEBNER BASES AND BUCHBERGER’S ALGORITHM
SOLVING SYSTEMS OF POLYNOMIAL EQUATIONS USING GROEBNER BASES
RECONSTRUCTION OF CURVES
PLUECKER COORDINATES AND LINES IN SPACE
APPLICATIONS OF NON-LINEAR COMPUTATIONAL GEOMETRY
ALGEBRAIC STRUCTURES
SEPARATION THEOREMS
ALGORITHMS AND COMPLEXITY
SOFTWARE
NOTATION
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
POLYHEDRAL AND ALGEBRAIC METHODS IN COMPUTATIONAL GEOMETRY
/ JOSWIG, MICHAEL
: 2013
ABSTRACT / INHALTSTEXT
POLYHEDRAL AND ALGEBRAIC METHODS IN COMPUTATIONAL GEOMETRY PROVIDES A
THOROUGH INTRODUCTION INTO ALGORITHMIC GEOMETRY AND ITS APPLICATIONS. IT
PRESENTS ITS PRIMARY TOPICS FROM THE VIEWPOINTS OF DISCRETE, CONVEX AND
ELEMENTARY ALGEBRAIC GEOMETRY. THE FIRST PART OF THE BOOK STUDIES
CLASSICAL PROBLEMS AND TECHNIQUESTHAT REFER TO POLYHEDRAL STRUCTURES.
THE AUTHORS INCLUDE A STUDY ON ALGORITHMS FOR COMPUTING CONVEX HULLS AS
WELL AS THE CONSTRUCTION OF VORONOI DIAGRAMS AND DELONE
TRIANGULATIONS. THE SECOND PART OF THE BOOK DEVELOPS THE PRIMARY
CONCEPTS OF (NON-LINEAR) COMPUTATIONAL ALGEBRAIC GEOMETRY. HERE, THE
BOOK LOOKS AT GROEBNER BASES AND SOLVING SYSTEMS OF POLYNOMIAL
EQUATIONS. THE THEORY IS ILLUSTRATED BY APPLICATIONS IN COMPUTER
GRAPHICS, CURVE RECONSTRUCTION AND ROBOTICS. THROUGHOUT THE BOOK,
INTERCONNECTIONS BETWEEN COMPUTATIONAL GEOMETRY AND OTHER DISCIPLINES
(SUCH AS ALGEBRAIC GEOMETRY, OPTIMIZATION AND NUMERICAL MATHEMATICS) ARE
ESTABLISHED. POLYHEDRAL AND ALGEBRAIC METHODS IN COMPUTATIONAL
GEOMETRY IS DIRECTED TOWARDS ADVANCED UNDERGRADUATES IN MATHEMATICS AND
COMPUTER SCIENCE, AS WELL AS TOWARDS ENGINEERING STUDENTS WHO ARE
INTERESTED IN THE APPLICATIONS OF COMPUTATIONAL GEOMETRY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Joswig, Michael 1965- Theobald, Thorsten 1971- |
| author_GND | (DE-588)135962013 (DE-588)120182343 |
| author_facet | Joswig, Michael 1965- Theobald, Thorsten 1971- |
| author_role | aut aut |
| author_sort | Joswig, Michael 1965- |
| author_variant | m j mj t t tt |
| building | Verbundindex |
| bvnumber | BV040793964 |
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| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)830901607 (DE-599)DNB1029375194 |
| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4471-4817-3 |
| format | Electronic eBook |
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| subject_GND | (DE-588)4130267-9 |
| title | Polyhedral and algebraic methods in computational geometry |
| title_alt | Algorithmische Geometrie |
| title_auth | Polyhedral and algebraic methods in computational geometry |
| title_exact_search | Polyhedral and algebraic methods in computational geometry |
| title_full | Polyhedral and algebraic methods in computational geometry |
| title_fullStr | Polyhedral and algebraic methods in computational geometry |
| title_full_unstemmed | Polyhedral and algebraic methods in computational geometry |
| title_short | Polyhedral and algebraic methods in computational geometry |
| title_sort | polyhedral and algebraic methods in computational geometry |
| topic | Algorithmische Geometrie (DE-588)4130267-9 gnd |
| topic_facet | Algorithmische Geometrie |
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