The Science of Fractal Images:
Gespeichert in:
| Hauptverfasser: | , , , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1988
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by Michael F. Barnsley, Robert L. Devaney, Heinz-Otto Peitgen, Dietmar Saupe and Richard F. Voss. The course was chaired by Heinz-Otto Peitgen and was part of the SIGGRAPH '87 (Anaheim, California) course program. Though the five chapters of this book have emerged from those courses we have tried to make this book a coherent and uniformly styled presentation as much as possible. It is the first book which discusses fractals solely from the point of view of computer graphics. Though fundamental concepts and algorithms are not introduced and discussed in mathematical rigor we have made a serious attempt to justify and motivate wherever it appeared to be desirable. Basic algorithms are typically presented in pseudo-code or a description so close to code that a reader who is familiar with elementary computer graphics should find no problem to get started. Mandelbrot's fractal geometry provides both a description and a mathematical model for many of the seemingly complex forms and patterns in nature and the sciences. Fractals have blossomed enormously in the past few years and have helped reconnect pure mathematics research with both natural sciences and computing. Computer graphics has played an essential role both in its development and rapidly growing popularity. Conversely, fractal geometry now plays an important role in the rendering, modelling and animation of natural phenomena and fantastic shapes in computer graphics |
| Beschreibung: | 1 Online-Ressource (XIV, 312 p) |
| ISBN: | 9781461237846 9781461283492 |
| DOI: | 10.1007/978-1-4612-3784-6 |
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Datensatz im Suchindex
| _version_ | 1804153091733323776 |
|---|---|
| any_adam_object | |
| author | Barnsley, Michael F. Devaney, Robert L. Mandelbrot, Benoit B. Peitgen, Heinz-Otto Saupe, Dietmar Voss, Richard F. |
| author2 | Peitgen, Heinz-Otto Saupe, Dietmar |
| author2_role | edt edt |
| author2_variant | h o p hop d s ds |
| author_facet | Barnsley, Michael F. Devaney, Robert L. Mandelbrot, Benoit B. Peitgen, Heinz-Otto Saupe, Dietmar Voss, Richard F. Peitgen, Heinz-Otto Saupe, Dietmar |
| author_role | aut aut aut aut aut aut |
| author_sort | Barnsley, Michael F. |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-3784-6 |
| format | Electronic eBook |
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| spelling | Barnsley, Michael F. aut The Science of Fractal Images by Michael F. Barnsley, Robert L. Devaney, Benoit B. Mandelbrot, Heinz-Otto Peitgen, Dietmar Saupe, Richard F. Voss ; edited by Heinz-Otto Peitgen, Dietmar Saupe New York, NY Springer New York 1988 1 Online-Ressource (XIV, 312 p) txt rdacontent c rdamedia cr rdacarrier This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by Michael F. Barnsley, Robert L. Devaney, Heinz-Otto Peitgen, Dietmar Saupe and Richard F. Voss. The course was chaired by Heinz-Otto Peitgen and was part of the SIGGRAPH '87 (Anaheim, California) course program. Though the five chapters of this book have emerged from those courses we have tried to make this book a coherent and uniformly styled presentation as much as possible. It is the first book which discusses fractals solely from the point of view of computer graphics. Though fundamental concepts and algorithms are not introduced and discussed in mathematical rigor we have made a serious attempt to justify and motivate wherever it appeared to be desirable. Basic algorithms are typically presented in pseudo-code or a description so close to code that a reader who is familiar with elementary computer graphics should find no problem to get started. Mandelbrot's fractal geometry provides both a description and a mathematical model for many of the seemingly complex forms and patterns in nature and the sciences. Fractals have blossomed enormously in the past few years and have helped reconnect pure mathematics research with both natural sciences and computing. Computer graphics has played an essential role both in its development and rapidly growing popularity. Conversely, fractal geometry now plays an important role in the rendering, modelling and animation of natural phenomena and fantastic shapes in computer graphics Mathematics Mathematics, general Mathematik Fraktal (DE-588)4123220-3 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Computergrafik (DE-588)4010450-3 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content 2\p (DE-588)1071861417 Konferenzschrift gnd-content Computergrafik (DE-588)4010450-3 s Fraktal (DE-588)4123220-3 s 3\p DE-604 Dynamisches System (DE-588)4013396-5 s 4\p DE-604 Devaney, Robert L. aut Mandelbrot, Benoit B. aut Peitgen, Heinz-Otto aut Saupe, Dietmar aut Voss, Richard F. aut Peitgen, Heinz-Otto edt Saupe, Dietmar edt https://doi.org/10.1007/978-1-4612-3784-6 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 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Barnsley, Michael F. Devaney, Robert L. Mandelbrot, Benoit B. Peitgen, Heinz-Otto Saupe, Dietmar Voss, Richard F. The Science of Fractal Images Mathematics Mathematics, general Mathematik Fraktal (DE-588)4123220-3 gnd Dynamisches System (DE-588)4013396-5 gnd Computergrafik (DE-588)4010450-3 gnd |
| subject_GND | (DE-588)4123220-3 (DE-588)4013396-5 (DE-588)4010450-3 (DE-588)4143413-4 (DE-588)1071861417 |
| title | The Science of Fractal Images |
| title_auth | The Science of Fractal Images |
| title_exact_search | The Science of Fractal Images |
| title_full | The Science of Fractal Images by Michael F. Barnsley, Robert L. Devaney, Benoit B. Mandelbrot, Heinz-Otto Peitgen, Dietmar Saupe, Richard F. Voss ; edited by Heinz-Otto Peitgen, Dietmar Saupe |
| title_fullStr | The Science of Fractal Images by Michael F. Barnsley, Robert L. Devaney, Benoit B. Mandelbrot, Heinz-Otto Peitgen, Dietmar Saupe, Richard F. Voss ; edited by Heinz-Otto Peitgen, Dietmar Saupe |
| title_full_unstemmed | The Science of Fractal Images by Michael F. Barnsley, Robert L. Devaney, Benoit B. Mandelbrot, Heinz-Otto Peitgen, Dietmar Saupe, Richard F. Voss ; edited by Heinz-Otto Peitgen, Dietmar Saupe |
| title_short | The Science of Fractal Images |
| title_sort | the science of fractal images |
| topic | Mathematics Mathematics, general Mathematik Fraktal (DE-588)4123220-3 gnd Dynamisches System (DE-588)4013396-5 gnd Computergrafik (DE-588)4010450-3 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Fraktal Dynamisches System Computergrafik Aufsatzsammlung Konferenzschrift |
| url | https://doi.org/10.1007/978-1-4612-3784-6 |
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