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L-system fractals [[electronic resource] /] / J. Mishra, S.N. Mishra
L-system fractals [[electronic resource] /] / J. Mishra, S.N. Mishra
Autore Mishra Jibitesh
Pubbl/distr/stampa Amsterdam ; ; Boston, MA, : Elsevier B. V., 2007
Descrizione fisica 1 online resource (274 p.)
Disciplina 006.3/7
Altri autori (Persone) MishraS. N (Sarojananda N.)
Collana Mathematics in science and engineering
Soggetto topico Computer vision
L systems
Fractals
ISBN 1-280-75187-8
9786610751877
0-08-046938-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Copyright Page; Preface; Table of Contents; Chapter 1 Introduction to Fractals; 1.1 Overview of fractals; 1.2 Fractals vs. Computer Graphics; 1.2.1 Chaotic Systems; 1.2.2 Strange Attractor; 1.2.3 Newton Raphson; 1.3 Fractal Geometry; 1.4 Categories of Fractals; 1.4.1 Geometrical fractals; 1.4.2 Algebraic fractals; 1.4.3 Stochastic fractals; 1.5 Fractals and Non-fractal Objects; 1.5.1 The sizes of the features of the fractal and non-fractal objects; 1.5.2 The four measure properties of fractal; 1.6 Defining a fractal; 1.6.1 Definitions of related terms; 1.6.2 Definition of fractal
1.7 Applications for Fractals1.8 Summary; Chapter 2 Fractals and L-System; 2.1 Reviews on L-system; 2.2 Parallel grammars: A phenomenon; 2.3 L-Systems; 2.3.1 D0L-system; 2.3.2 Fractals and graphic interpretation of strings; 2.3.3 Bracketed L-systems and models of plants architecture; 2.3.4 L-systems and Genetic Algorithms; 2.4 Basic definitions of L-Systems; 2.4.1 Fibonacci L-system; 2.4.2 Types of L-systems; 2.4.3 Thue-Morse L-system; 2.4.4 Paper folding and the Dragon curve; 2.5 Turtle graphics and L-systems; 2.5.1 Branching and bracketed L-systems
2.5.2 Famous L-systems of mathematical history2.5.3 Self-similarity and scaling; 2.6 Summary; Chapter 3 Interactive Generation of Fractal Images; 3.1 IFS and Fractals; 3.2 Generation of Fractals; 3.2.1 Multi Lens Copy Machines; 3.3 Computer Implementation; 3.3.1 The Random Algorithm; 3.4 Designing Fractals; 3.4.1 How does the program work; 3.5 Software Package; 3.5.1 Background; 3.5.2 Computer Implementation; 3.5.3 Sample Output; 3.6 Mathematical Expression of IFS; 3.6.1 RIFS; 3.6.2 Modified MRCM; 3.7 Summary; Chapter 4 Generation of a Class of Hybrid Fractals; 4.1 Background
4.1.1 Parallel grammar: A critical review4.1.2 Rules for biological phenomenon; 4.1.3 Some definitions and examples; 4.1.4 Applications of L-System; 4.1.5 Turtle graphics vs L-System; 4.1.6 Generation of fractal figures; 4.1.7 About L-System; 4.1.8 An L-system example; 4.1.9 Representing mathematical sequence in L-System; 4.2 The Approach; 4.2.1 Assumptions; 4.2.2 Combination of L-Systems; 4.2.3 The new L-System or the Hybrid L-System; 4.2.4 The Algorithm; 4.3 Experimentally Generated Fractals; 4.3.1 Fractal figures for Fibonacci sequence and Koch curve
4.3.2 Fractal figures for Mathematical series 1 to n and Koch curve4.3.3 Fractal figures based on different combinations; 4.4 Variation on Koch Curves; 4.5 Fractals with other Mathematical Sequences; 4.6 Interpretation of Result; 4.6.1 Comparison of Koch curve with Hybrid system; 4.6.2 Arbitrary Figures; 4.7 Summary; Chapter 5 L-System Strings from Ramification Matrix; 5.1 Definition of Terms; 5.1.1 Modules; 5.1.2 Productions; 5.2 Parallel Rewriting Systems; 5.3 An Elementary L-System Parser; 5.3.1 The structure of an L-System module; 5.3.2 L-System strings
5.3.3 Rewriting the L-System string
Record Nr. UNINA-9910784591903321
Mishra Jibitesh  
Amsterdam ; ; Boston, MA, : Elsevier B. V., 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
L-system fractals [[electronic resource] /] / J. Mishra, S.N. Mishra
L-system fractals [[electronic resource] /] / J. Mishra, S.N. Mishra
Autore Mishra Jibitesh
Edizione [1st ed.]
Pubbl/distr/stampa Amsterdam ; ; Boston, MA, : Elsevier B. V., 2007
Descrizione fisica 1 online resource (274 p.)
Disciplina 006.3/7
Altri autori (Persone) MishraS. N (Sarojananda N.)
Collana Mathematics in science and engineering
Soggetto topico Computer vision
L systems
Fractals
ISBN 1-280-75187-8
9786610751877
0-08-046938-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Copyright Page; Preface; Table of Contents; Chapter 1 Introduction to Fractals; 1.1 Overview of fractals; 1.2 Fractals vs. Computer Graphics; 1.2.1 Chaotic Systems; 1.2.2 Strange Attractor; 1.2.3 Newton Raphson; 1.3 Fractal Geometry; 1.4 Categories of Fractals; 1.4.1 Geometrical fractals; 1.4.2 Algebraic fractals; 1.4.3 Stochastic fractals; 1.5 Fractals and Non-fractal Objects; 1.5.1 The sizes of the features of the fractal and non-fractal objects; 1.5.2 The four measure properties of fractal; 1.6 Defining a fractal; 1.6.1 Definitions of related terms; 1.6.2 Definition of fractal
1.7 Applications for Fractals1.8 Summary; Chapter 2 Fractals and L-System; 2.1 Reviews on L-system; 2.2 Parallel grammars: A phenomenon; 2.3 L-Systems; 2.3.1 D0L-system; 2.3.2 Fractals and graphic interpretation of strings; 2.3.3 Bracketed L-systems and models of plants architecture; 2.3.4 L-systems and Genetic Algorithms; 2.4 Basic definitions of L-Systems; 2.4.1 Fibonacci L-system; 2.4.2 Types of L-systems; 2.4.3 Thue-Morse L-system; 2.4.4 Paper folding and the Dragon curve; 2.5 Turtle graphics and L-systems; 2.5.1 Branching and bracketed L-systems
2.5.2 Famous L-systems of mathematical history2.5.3 Self-similarity and scaling; 2.6 Summary; Chapter 3 Interactive Generation of Fractal Images; 3.1 IFS and Fractals; 3.2 Generation of Fractals; 3.2.1 Multi Lens Copy Machines; 3.3 Computer Implementation; 3.3.1 The Random Algorithm; 3.4 Designing Fractals; 3.4.1 How does the program work; 3.5 Software Package; 3.5.1 Background; 3.5.2 Computer Implementation; 3.5.3 Sample Output; 3.6 Mathematical Expression of IFS; 3.6.1 RIFS; 3.6.2 Modified MRCM; 3.7 Summary; Chapter 4 Generation of a Class of Hybrid Fractals; 4.1 Background
4.1.1 Parallel grammar: A critical review4.1.2 Rules for biological phenomenon; 4.1.3 Some definitions and examples; 4.1.4 Applications of L-System; 4.1.5 Turtle graphics vs L-System; 4.1.6 Generation of fractal figures; 4.1.7 About L-System; 4.1.8 An L-system example; 4.1.9 Representing mathematical sequence in L-System; 4.2 The Approach; 4.2.1 Assumptions; 4.2.2 Combination of L-Systems; 4.2.3 The new L-System or the Hybrid L-System; 4.2.4 The Algorithm; 4.3 Experimentally Generated Fractals; 4.3.1 Fractal figures for Fibonacci sequence and Koch curve
4.3.2 Fractal figures for Mathematical series 1 to n and Koch curve4.3.3 Fractal figures based on different combinations; 4.4 Variation on Koch Curves; 4.5 Fractals with other Mathematical Sequences; 4.6 Interpretation of Result; 4.6.1 Comparison of Koch curve with Hybrid system; 4.6.2 Arbitrary Figures; 4.7 Summary; Chapter 5 L-System Strings from Ramification Matrix; 5.1 Definition of Terms; 5.1.1 Modules; 5.1.2 Productions; 5.2 Parallel Rewriting Systems; 5.3 An Elementary L-System Parser; 5.3.1 The structure of an L-System module; 5.3.2 L-System strings
5.3.3 Rewriting the L-System string
Record Nr. UNINA-9910824561503321
Mishra Jibitesh  
Amsterdam ; ; Boston, MA, : Elsevier B. V., 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
L-system fractals / J. Mishra, S. N. Mishra
L-system fractals / J. Mishra, S. N. Mishra
Autore Mishra, Jibitesh
Pubbl/distr/stampa Amsterdam : Elsevier B. V., 2007
Descrizione fisica xiii, 258 p. : ill. ; 24 cm
Disciplina 006.37
Altri autori (Persone) Mishra, Sarojananda N.author
Collana Mathematics in science and engineering, 0076-5392 ; 209
Soggetto topico Computer vision
L systems
Fractals
ISBN 0444528326
Classificazione AMS 28A80
AMS 68U05
AMS 68T45
AMS 68T10
LC TA1634.M56
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991002133209707536
Mishra, Jibitesh  
Amsterdam : Elsevier B. V., 2007
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Lectures on fractal geometry and dynamical systems / Yakov Pesin, Vaughn Climenhaga
Lectures on fractal geometry and dynamical systems / Yakov Pesin, Vaughn Climenhaga
Autore Pesin, Yakov B.
Pubbl/distr/stampa Providence, R. I. : American Mathematical Society, c2009
Descrizione fisica xvi, 314 p. : ill. ; 22 cm
Disciplina 514.742
Altri autori (Persone) Climenhaga, Vaughnauthor
Collana Student mathematical library, 1520-9121 ; 52
Soggetto topico Fractals
Dynamics
ISBN 9780821848890
Classificazione AMS 37-01
AMS 37C45
LC QA614.86.P47
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001838229707536
Pesin, Yakov B.  
Providence, R. I. : American Mathematical Society, c2009
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Lindenmayer systems, fractals, and plants / Przemyslaw Prusinkiewicz, James Hanan
Lindenmayer systems, fractals, and plants / Przemyslaw Prusinkiewicz, James Hanan
Autore Prusinkiewicz, Przemyslaw
Edizione [1st ed.]
Pubbl/distr/stampa Berlin : Springer-Verlag, 1989
Descrizione fisica iv, 120 p. : ill. ; 25 cm
Disciplina 519.8
Altri autori (Persone) Hanan, Jamesauthor
Collana Lecture notes in biomathematics, 0341-633X ; 79
Soggetto topico Fractals
L systems
Plants - Development - Computer simulation
ISBN 3540970924
Classificazione AMS 28A80
AMS 68U05
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001083399707536
Prusinkiewicz, Przemyslaw  
Berlin : Springer-Verlag, 1989
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Mathematics of fractals / Masaya Yamaguti, Masayoshi Hata, Jun Kigami ; translated by Kiki Hudson
Mathematics of fractals / Masaya Yamaguti, Masayoshi Hata, Jun Kigami ; translated by Kiki Hudson
Autore Yamaguchi, Masaya
Pubbl/distr/stampa Providence, R.I. : American Mathematical Society, c1997
Descrizione fisica xi, 78 p. : ill. ; 26 cm.
Disciplina 514.742
Altri autori (Persone) Hata, Masayoshiauthor
Kigami, Junauthor
Collana Translations of mathematical monographs, 0065-9282 ; 167
Soggetto topico Chaotic behavior in systems
Fractals
ISBN 0821805371
Classificazione AMS 58F13
AMS 70K50
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001124109707536
Yamaguchi, Masaya  
Providence, R.I. : American Mathematical Society, c1997
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Measure theoretic laws for lim sup sets / / Victor Beresnevich, Detta Dickinson, Sanju Velani
Measure theoretic laws for lim sup sets / / Victor Beresnevich, Detta Dickinson, Sanju Velani
Autore Beresnevich Victor <1971->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2006]
Descrizione fisica 1 online resource (110 p.)
Disciplina 510 s
512.7/3
Collana Memoirs of the American Mathematical Society
Soggetto topico Diophantine approximation
Probabilities
Hausdorff measures
Fractals
Soggetto genere / forma Electronic books.
ISBN 1-4704-0447-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Section 1. Introduction""; ""Â1.1. Background: the basic example""; ""Â1.2. The general setup and fundamental problems""; ""Section 2. Ubiquity and conditions on the general setup""; ""Â2.1. Upper and lower sequences and the sets J[sup(u)][sub(1)](n)""; ""Â2.2. The conditions on the measure and the space""; ""Â2.3. The intersection conditions""; ""Â2.4. The ubiquitous systems""; ""Â2.5. A remark on related systems""; ""Section 3. The statements of t h e main theorems""; ""Section 4. Remarks and corollaries t o Theorem 1""
""Â11.2. Completion of the proof""""Section 12. Applications""; ""Â12.1. Linear Forms""; ""Â12.2. Algebraic Numbers""; ""Â12.3. Kleinian Groups""; ""Â12.4. Rational Maps""; ""Â12.5. Diophantine approximation with restrictions""; ""Â12.6. Diophantine approximation in Q[sub(p)]""; ""Â12.7. Diophantine approximation on manifolds""; ""Â12.8. Sets of exact order""; ""Bibliography""
Record Nr. UNINA-9910480865503321
Beresnevich Victor <1971->  
Providence, Rhode Island : , : American Mathematical Society, , [2006]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Measure theoretic laws for lim sup sets / / Victor Beresnevich, Detta Dickinson, Sanju Velani
Measure theoretic laws for lim sup sets / / Victor Beresnevich, Detta Dickinson, Sanju Velani
Autore Beresnevich Victor <1971->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2006]
Descrizione fisica 1 online resource (110 p.)
Disciplina 510 s
512.7/3
Collana Memoirs of the American Mathematical Society
Soggetto topico Diophantine approximation
Probabilities
Hausdorff measures
Fractals
ISBN 1-4704-0447-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Section 1. Introduction""; ""Â1.1. Background: the basic example""; ""Â1.2. The general setup and fundamental problems""; ""Section 2. Ubiquity and conditions on the general setup""; ""Â2.1. Upper and lower sequences and the sets J[sup(u)][sub(1)](n)""; ""Â2.2. The conditions on the measure and the space""; ""Â2.3. The intersection conditions""; ""Â2.4. The ubiquitous systems""; ""Â2.5. A remark on related systems""; ""Section 3. The statements of t h e main theorems""; ""Section 4. Remarks and corollaries t o Theorem 1""
""Â11.2. Completion of the proof""""Section 12. Applications""; ""Â12.1. Linear Forms""; ""Â12.2. Algebraic Numbers""; ""Â12.3. Kleinian Groups""; ""Â12.4. Rational Maps""; ""Â12.5. Diophantine approximation with restrictions""; ""Â12.6. Diophantine approximation in Q[sub(p)]""; ""Â12.7. Diophantine approximation on manifolds""; ""Â12.8. Sets of exact order""; ""Bibliography""
Record Nr. UNINA-9910788740903321
Beresnevich Victor <1971->  
Providence, Rhode Island : , : American Mathematical Society, , [2006]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Measure theoretic laws for lim sup sets / / Victor Beresnevich, Detta Dickinson, Sanju Velani
Measure theoretic laws for lim sup sets / / Victor Beresnevich, Detta Dickinson, Sanju Velani
Autore Beresnevich Victor <1971->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2006]
Descrizione fisica 1 online resource (110 p.)
Disciplina 510 s
512.7/3
Collana Memoirs of the American Mathematical Society
Soggetto topico Diophantine approximation
Probabilities
Hausdorff measures
Fractals
ISBN 1-4704-0447-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Section 1. Introduction""; ""Â1.1. Background: the basic example""; ""Â1.2. The general setup and fundamental problems""; ""Section 2. Ubiquity and conditions on the general setup""; ""Â2.1. Upper and lower sequences and the sets J[sup(u)][sub(1)](n)""; ""Â2.2. The conditions on the measure and the space""; ""Â2.3. The intersection conditions""; ""Â2.4. The ubiquitous systems""; ""Â2.5. A remark on related systems""; ""Section 3. The statements of t h e main theorems""; ""Section 4. Remarks and corollaries t o Theorem 1""
""Â11.2. Completion of the proof""""Section 12. Applications""; ""Â12.1. Linear Forms""; ""Â12.2. Algebraic Numbers""; ""Â12.3. Kleinian Groups""; ""Â12.4. Rational Maps""; ""Â12.5. Diophantine approximation with restrictions""; ""Â12.6. Diophantine approximation in Q[sub(p)]""; ""Â12.7. Diophantine approximation on manifolds""; ""Â12.8. Sets of exact order""; ""Bibliography""
Record Nr. UNINA-9910817241303321
Beresnevich Victor <1971->  
Providence, Rhode Island : , : American Mathematical Society, , [2006]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Measure, topology and fractal geometry / Gerald A. Edgar
Measure, topology and fractal geometry / Gerald A. Edgar
Autore Edgar, Gerald A.
Pubbl/distr/stampa New York : Springer-Verlag, 1990
Descrizione fisica ix, 230 p. ; 24 cm.
Disciplina 514.74
Collana Undergraduate texts in mathematics, ISSN 01726056
Soggetto topico Fractals
Measure theory
Topology
ISBN 0387972722
Classificazione AMS 28A80
AMS 54A
QA614.86.E34
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001132289707536
Edgar, Gerald A.  
New York : Springer-Verlag, 1990
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui