Fractal dimension
The role of Fractal Geometry as an extension of Classical Geometry has become increasingly important, making it now possible to define shapes of clouds, coastlines and profiles in the horizon. This thesis discusses how two-dimensional fractals are obtained through the use of similarities. Affine tra...
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1995
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oai:animorepository.dlsu.edu.ph:etd_bachelors-167672022-02-04T10:36:45Z Fractal dimension Jimenez, Chermaine Maldia, Raquel The role of Fractal Geometry as an extension of Classical Geometry has become increasingly important, making it now possible to define shapes of clouds, coastlines and profiles in the horizon. This thesis discusses how two-dimensional fractals are obtained through the use of similarities. Affine transformations and isometries are also discussed. The concept of Fractal Dimension is introduced. This thesis shows how fractal dimension can be approximated or computed using the Box Counting Theorem. Finally, an upper bound for the fractal dimension of fractals in the plane is given. 1995-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16254 Bachelor's Theses English Animo Repository Fractals Dimension theory (Topology) Set theory |
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De La Salle University |
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De La Salle University Library |
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Asia |
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Philippines Philippines |
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De La Salle University Library |
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DLSU Institutional Repository |
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English |
| topic |
Fractals Dimension theory (Topology) Set theory |
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Fractals Dimension theory (Topology) Set theory Jimenez, Chermaine Maldia, Raquel Fractal dimension |
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The role of Fractal Geometry as an extension of Classical Geometry has become increasingly important, making it now possible to define shapes of clouds, coastlines and profiles in the horizon. This thesis discusses how two-dimensional fractals are obtained through the use of similarities. Affine transformations and isometries are also discussed. The concept of Fractal Dimension is introduced. This thesis shows how fractal dimension can be approximated or computed using the Box Counting Theorem. Finally, an upper bound for the fractal dimension of fractals in the plane is given. |
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text |
| author |
Jimenez, Chermaine Maldia, Raquel |
| author_facet |
Jimenez, Chermaine Maldia, Raquel |
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Jimenez, Chermaine |
| title |
Fractal dimension |
| title_short |
Fractal dimension |
| title_full |
Fractal dimension |
| title_fullStr |
Fractal dimension |
| title_full_unstemmed |
Fractal dimension |
| title_sort |
fractal dimension |
| publisher |
Animo Repository |
| publishDate |
1995 |
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https://animorepository.dlsu.edu.ph/etd_bachelors/16254 |
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1772834924312657920 |