Bézier and B-Spline Techniques:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2002
|
| Schriftenreihe: | Mathematics and Visualization
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Computer-aided modeling techniques have been developed since the advent of NC milling machines in the late 40's. Since the early 60's Bezier and Bspline representations evolved as the major tool to handle curves and surfaces. These representations are geometrically intuitive and meaningful and they lead to constructive numerically robust algorithms. It is the purpose of this book to provide a solid and unified derivation of the various properties of Bezier and B-spline representations and to show the beauty of the underlying rich mathematical structure. The book focuses on the core concepts of Computer-aided Geometric Design (CAGD) with the intent to provide a clear and illustrative presentation of the basic principles as well as a treatment of advanced material, including multivariate splines, some subdivision techniques and constructions of arbitrarily smooth free-form surfaces. In order to keep the book focused, many further CAGD methods are excluded. In particular, rational Bezier and B-spline techniques are not addressed since a rigorous treatment within the appropriate context of projective geometry would have been beyond the scope of this book |
| Beschreibung: | 1 Online-Ressource (XIV, 304 p) |
| ISBN: | 9783662049198 9783642078422 |
| ISSN: | 1612-3786 |
| DOI: | 10.1007/978-3-662-04919-8 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804153098937040896 |
|---|---|
| any_adam_object | |
| author | Prautzsch, Hartmut |
| author_facet | Prautzsch, Hartmut |
| author_role | aut |
| author_sort | Prautzsch, Hartmut |
| author_variant | h p hp |
| building | Verbundindex |
| bvnumber | BV042423332 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863987992 (DE-599)BVBBV042423332 |
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| dewey-ones | 006 - Special computer methods |
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| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| doi_str_mv | 10.1007/978-3-662-04919-8 |
| format | Electronic eBook |
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| id | DE-604.BV042423332 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662049198 9783642078422 |
| issn | 1612-3786 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858749 |
| oclc_num | 863987992 |
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| publishDate | 2002 |
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| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Mathematics and Visualization |
| spelling | Prautzsch, Hartmut Verfasser aut Bézier and B-Spline Techniques by Hartmut Prautzsch, Wolfgang Boehm, Marco Paluszny Berlin, Heidelberg Springer Berlin Heidelberg 2002 1 Online-Ressource (XIV, 304 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Visualization 1612-3786 Computer-aided modeling techniques have been developed since the advent of NC milling machines in the late 40's. Since the early 60's Bezier and Bspline representations evolved as the major tool to handle curves and surfaces. These representations are geometrically intuitive and meaningful and they lead to constructive numerically robust algorithms. It is the purpose of this book to provide a solid and unified derivation of the various properties of Bezier and B-spline representations and to show the beauty of the underlying rich mathematical structure. The book focuses on the core concepts of Computer-aided Geometric Design (CAGD) with the intent to provide a clear and illustrative presentation of the basic principles as well as a treatment of advanced material, including multivariate splines, some subdivision techniques and constructions of arbitrarily smooth free-form surfaces. In order to keep the book focused, many further CAGD methods are excluded. In particular, rational Bezier and B-spline techniques are not addressed since a rigorous treatment within the appropriate context of projective geometry would have been beyond the scope of this book Computer science Computer graphics Computer aided design Numerical analysis Engineering mathematics Computer Science Computer Graphics Computer-Aided Engineering (CAD, CAE) and Design Appl.Mathematics/Computational Methods of Engineering Numerical Analysis Informatik Bézier-Fläche (DE-588)4293190-3 gnd rswk-swf Bézier-Kurve (DE-588)4308681-0 gnd rswk-swf B-Spline (DE-588)4384798-5 gnd rswk-swf Bézier-Kurve (DE-588)4308681-0 s 1\p DE-604 B-Spline (DE-588)4384798-5 s 2\p DE-604 Bézier-Fläche (DE-588)4293190-3 s 3\p DE-604 Boehm, Wolfgang Sonstige oth Paluszny, Marco Sonstige oth https://doi.org/10.1007/978-3-662-04919-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Prautzsch, Hartmut Bézier and B-Spline Techniques Computer science Computer graphics Computer aided design Numerical analysis Engineering mathematics Computer Science Computer Graphics Computer-Aided Engineering (CAD, CAE) and Design Appl.Mathematics/Computational Methods of Engineering Numerical Analysis Informatik Bézier-Fläche (DE-588)4293190-3 gnd Bézier-Kurve (DE-588)4308681-0 gnd B-Spline (DE-588)4384798-5 gnd |
| subject_GND | (DE-588)4293190-3 (DE-588)4308681-0 (DE-588)4384798-5 |
| title | Bézier and B-Spline Techniques |
| title_auth | Bézier and B-Spline Techniques |
| title_exact_search | Bézier and B-Spline Techniques |
| title_full | Bézier and B-Spline Techniques by Hartmut Prautzsch, Wolfgang Boehm, Marco Paluszny |
| title_fullStr | Bézier and B-Spline Techniques by Hartmut Prautzsch, Wolfgang Boehm, Marco Paluszny |
| title_full_unstemmed | Bézier and B-Spline Techniques by Hartmut Prautzsch, Wolfgang Boehm, Marco Paluszny |
| title_short | Bézier and B-Spline Techniques |
| title_sort | bezier and b spline techniques |
| topic | Computer science Computer graphics Computer aided design Numerical analysis Engineering mathematics Computer Science Computer Graphics Computer-Aided Engineering (CAD, CAE) and Design Appl.Mathematics/Computational Methods of Engineering Numerical Analysis Informatik Bézier-Fläche (DE-588)4293190-3 gnd Bézier-Kurve (DE-588)4308681-0 gnd B-Spline (DE-588)4384798-5 gnd |
| topic_facet | Computer science Computer graphics Computer aided design Numerical analysis Engineering mathematics Computer Science Computer Graphics Computer-Aided Engineering (CAD, CAE) and Design Appl.Mathematics/Computational Methods of Engineering Numerical Analysis Informatik Bézier-Fläche Bézier-Kurve B-Spline |
| url | https://doi.org/10.1007/978-3-662-04919-8 |
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