Chaos and Fractals [[electronic resource] ] : New Frontiers of Science / / by Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
| Chaos and Fractals [[electronic resource] ] : New Frontiers of Science / / by Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe |
| Autore | Peitgen Heinz-Otto |
| Edizione | [1st ed. 1992.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (XXXII, 999 p.) |
| Disciplina | 510 |
| Soggetto topico |
Mathematics
Mathematics, general |
| ISBN | 1-4757-4740-3 |
| Classificazione |
58F13
70K50 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction: Causality Principle, Deterministic Laws and Chaos -- 1 The Backbone of Fractals: Feedback and the Iterator -- 2 Classical Fractals and Self-Similarity -- 3 Limits and Self-Similarity -- 4 Length, Area and Dimension: Measuring Complexity and Scaling Properties -- 5 Encoding Images by Simple Transformations -- 6 The Chaos Game: How Randomness Creates Deterministic Shapes -- 7 Recursive Structures: Growing of Fractals and Plants -- 8 Pascal’s Triangle: Cellular Automata and Attractors -- 9 Irregular Shapes: Randomness in Fractal Constructions -- 10 Deterministic Chaos: Sensitivity, Mixing, and Periodic Points -- 11 Order and Chaos: Period-Doubling and its Chaotic Mirror -- 12 Strange Attractors: The Locus of Chaos -- 13 Julia Sets: Fractal Basin Boundaries -- 14 The Mandelbrot Set: Ordering the Julia Sets -- A A Discussion of Fractal Image Compression -- A.1 Self-Similarity in Images -- A.2 A Special MRCM -- A.3 Encoding Images -- A.4 Ways to Partition Images -- A.5 Implementation Notes -- B Multifractal Measures -- B.1 Introduction -- B.2 The Binomial and Multinomial Measures -- B.5 Some Applications, and Advanced Multifractals. |
| Record Nr. | UNINA-9910479922303321 |
Peitgen Heinz-Otto
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Chaos and Fractals [[electronic resource] ] : New Frontiers of Science / / by Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
| Chaos and Fractals [[electronic resource] ] : New Frontiers of Science / / by Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe |
| Autore | Peitgen Heinz-Otto |
| Edizione | [1st ed. 1992.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (XXXII, 999 p.) |
| Disciplina | 510 |
| Soggetto topico |
Mathematics
Mathematics, general |
| ISBN | 1-4757-4740-3 |
| Classificazione |
58F13
70K50 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction: Causality Principle, Deterministic Laws and Chaos -- 1 The Backbone of Fractals: Feedback and the Iterator -- 2 Classical Fractals and Self-Similarity -- 3 Limits and Self-Similarity -- 4 Length, Area and Dimension: Measuring Complexity and Scaling Properties -- 5 Encoding Images by Simple Transformations -- 6 The Chaos Game: How Randomness Creates Deterministic Shapes -- 7 Recursive Structures: Growing of Fractals and Plants -- 8 Pascal’s Triangle: Cellular Automata and Attractors -- 9 Irregular Shapes: Randomness in Fractal Constructions -- 10 Deterministic Chaos: Sensitivity, Mixing, and Periodic Points -- 11 Order and Chaos: Period-Doubling and its Chaotic Mirror -- 12 Strange Attractors: The Locus of Chaos -- 13 Julia Sets: Fractal Basin Boundaries -- 14 The Mandelbrot Set: Ordering the Julia Sets -- A A Discussion of Fractal Image Compression -- A.1 Self-Similarity in Images -- A.2 A Special MRCM -- A.3 Encoding Images -- A.4 Ways to Partition Images -- A.5 Implementation Notes -- B Multifractal Measures -- B.1 Introduction -- B.2 The Binomial and Multinomial Measures -- B.5 Some Applications, and Advanced Multifractals. |
| Record Nr. | UNINA-9910792487403321 |
Peitgen Heinz-Otto
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Chaos and Fractals : New Frontiers of Science / / by Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
| Chaos and Fractals : New Frontiers of Science / / by Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe |
| Autore | Peitgen Heinz-Otto <1945-> |
| Edizione | [1st ed. 1992.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
| Descrizione fisica | 1 online resource (XXXII, 999 p.) |
| Disciplina |
510
003.857 |
| Soggetto topico | Mathematics |
| ISBN |
9781475747409
1475747403 |
| Classificazione |
58F13
70K50 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction: Causality Principle, Deterministic Laws and Chaos -- 1 The Backbone of Fractals: Feedback and the Iterator -- 2 Classical Fractals and Self-Similarity -- 3 Limits and Self-Similarity -- 4 Length, Area and Dimension: Measuring Complexity and Scaling Properties -- 5 Encoding Images by Simple Transformations -- 6 The Chaos Game: How Randomness Creates Deterministic Shapes -- 7 Recursive Structures: Growing of Fractals and Plants -- 8 Pascal’s Triangle: Cellular Automata and Attractors -- 9 Irregular Shapes: Randomness in Fractal Constructions -- 10 Deterministic Chaos: Sensitivity, Mixing, and Periodic Points -- 11 Order and Chaos: Period-Doubling and its Chaotic Mirror -- 12 Strange Attractors: The Locus of Chaos -- 13 Julia Sets: Fractal Basin Boundaries -- 14 The Mandelbrot Set: Ordering the Julia Sets -- A A Discussion of Fractal Image Compression -- A.1 Self-Similarity in Images -- A.2 A Special MRCM -- A.3 Encoding Images -- A.4 Ways to Partition Images -- A.5 Implementation Notes -- B Multifractal Measures -- B.1 Introduction -- B.2 The Binomial and Multinomial Measures -- B.5 Some Applications, and Advanced Multifractals. |
| Record Nr. | UNINA-9910956105903321 |
Peitgen Heinz-Otto <1945->
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||