Multifractal Framework Based on Blanket Method
This paper proposes two local multifractal measures motivated by blanket method for calculation of fractal dimension. They cover both fractal approaches familiar in image processing. The first two measures (proposed Methods 1 and 3) support model of image with embedded dimension three, while the oth...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/894546 |
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| _version_ | 1832548713669591040 |
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| author | Milorad P. Paskaš Irini S. Reljin Branimir D. Reljin |
| author_facet | Milorad P. Paskaš Irini S. Reljin Branimir D. Reljin |
| author_sort | Milorad P. Paskaš |
| collection | DOAJ |
| description | This paper proposes two local multifractal measures motivated by blanket method for calculation of fractal dimension. They cover both fractal approaches familiar in image processing. The first two measures (proposed Methods 1 and 3) support model of image with embedded dimension three, while the other supports model of image embedded in space of dimension three (proposed Method 2). While the classical blanket method provides only one value for an image (fractal dimension) multifractal spectrum obtained by any of the proposed measures gives a whole range of dimensional values. This means that proposed multifractal blanket model generalizes classical (monofractal) blanket method and other versions of this monofractal approach implemented locally. Proposed measures are validated on Brodatz image database through texture classification. All proposed methods give similar classification results, while average computation time of Method 3 is substantially longer. |
| format | Article |
| id | doaj-art-edcc761239354dadac98e41e3bea29b5 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-edcc761239354dadac98e41e3bea29b52025-02-03T06:13:19ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/894546894546Multifractal Framework Based on Blanket MethodMilorad P. Paskaš0Irini S. Reljin1Branimir D. Reljin2School of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra 73, 11121 Belgrade, SerbiaSchool of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra 73, 11121 Belgrade, SerbiaInnovation Center of School of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra 73, 11121 Belgrade, SerbiaThis paper proposes two local multifractal measures motivated by blanket method for calculation of fractal dimension. They cover both fractal approaches familiar in image processing. The first two measures (proposed Methods 1 and 3) support model of image with embedded dimension three, while the other supports model of image embedded in space of dimension three (proposed Method 2). While the classical blanket method provides only one value for an image (fractal dimension) multifractal spectrum obtained by any of the proposed measures gives a whole range of dimensional values. This means that proposed multifractal blanket model generalizes classical (monofractal) blanket method and other versions of this monofractal approach implemented locally. Proposed measures are validated on Brodatz image database through texture classification. All proposed methods give similar classification results, while average computation time of Method 3 is substantially longer.http://dx.doi.org/10.1155/2014/894546 |
| spellingShingle | Milorad P. Paskaš Irini S. Reljin Branimir D. Reljin Multifractal Framework Based on Blanket Method The Scientific World Journal |
| title | Multifractal Framework Based on Blanket Method |
| title_full | Multifractal Framework Based on Blanket Method |
| title_fullStr | Multifractal Framework Based on Blanket Method |
| title_full_unstemmed | Multifractal Framework Based on Blanket Method |
| title_short | Multifractal Framework Based on Blanket Method |
| title_sort | multifractal framework based on blanket method |
| url | http://dx.doi.org/10.1155/2014/894546 |
| work_keys_str_mv | AT miloradppaskas multifractalframeworkbasedonblanketmethod AT irinisreljin multifractalframeworkbasedonblanketmethod AT branimirdreljin multifractalframeworkbasedonblanketmethod |