Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics...

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Computação Gráfica © Julio Arakaki Fractais 1 Fractais Prof. Julio Arakaki

Transcript of Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics...

Page 1: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

1

Fractais

Prof. Julio Arakaki

Page 2: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

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Fractais ?

• São figuras da geometria não-Euclidiana.

• Um fractal é um objeto geométrico que pode ser dividido em partes, cada uma das quais semelhante ao objeto original.

• Diz-se que os fractais têm infinitos detalhes, são geralmente autossimilares e de escala. Em muitos casos um fractal pode ser gerado por um padrão repetido, tipicamente um processo recorrente ou iterativo.

Ref: https://pt.wikipedia.org/wiki/Fractal

https://pt.wikipedia.org/wiki/Geometria
https://pt.wikipedia.org/wiki/Geometria_euclidiana
https://pt.wikipedia.org/wiki/Autossimilaridade
https://pt.wikipedia.org/wiki/Escala_(medidas)
Page 3: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

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Exemplo

Page 4: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

4

Exemplo - plantas

Page 5: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

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Exemplo – plantas/cor

Page 6: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

6

Exemplo – plantas/cor

Page 7: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

7

Exemplo

Page 8: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

8

Exemplo

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Computação Gráfica

© Julio Arakaki

Fractais

9

Exemplo

Page 10: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

10

Exemplo - Mandelbrot

Page 11: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

11

Exemplo - Mandelbrot

Page 12: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

12

Exemplo - Mandelbrot

Page 13: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

13

Exemplo – Mandelbrot 3D

Page 14: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

14

Exemplo – Mandelbrot 3D

Page 15: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

15

Exemplo - montanhas

Page 16: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

16

Exemplo – montanhas - geração

Page 17: Introduction to Computer Graphicsjarakaki/cgpi/4_Fractais.pdf · Introduction to Computer Graphics Author: Anthony Sobey Created Date: 11/5/2017 6:23:21 PM ...

Computação Gráfica

© Julio Arakaki

Fractais

17

Exemplo

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Computação Gráfica

© Julio Arakaki

Fractais

18

Exemplo


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