1 / 16

Calculating Fractal Dimension from Vector Images

Calculating Fractal Dimension from Vector Images. Kelly Ran. What Is A Fractal?. Fractal Dimension. Lines: D=1 Squares: D=2 Fractals: Non-integer D Calculated using multiple methods Box-counting dimension. Fractal Dimension Applications. Texture classification Protein molecule analysis

jayden
Download Presentation

Calculating Fractal Dimension from Vector Images

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Calculating Fractal Dimension from Vector Images Kelly Ran

  2. What Is A Fractal?

  3. Fractal Dimension • Lines: D=1 • Squares: D=2 • Fractals: Non-integer D • Calculated using multiple methods • Box-counting dimension

  4. Fractal Dimension Applications • Texture classification • Protein molecule analysis • Plant growth analysis • Model: plants, particle motion

  5. Vector Graphics • Raster graphics: pixel-by-pixel • Research applications calculate D from raster graphics • Vector graphics: Objects like paths and shapes • Scalable Vector Graphics (SVG) based on XML • Paths

  6. Goals • Is it possible to calculate fractal dimension from vector images? • Goals: • Calculate D from SVG images • Show calculations on a display screen • Compare raster v. vector • Time? Accuracy?

  7. Procedures • Create SVG files • Inskcape Software Sierpinski Triangle, 3 iterations Sierpinski Triangle, 6 iterations

  8. Procedures • Processing language • Import SVG • Array of objects • D calculation: size N of grid, number s of grids • Hash table: N is key, s is value

  9. Testing • Line, square • Fractals with known fractal dimensions

  10. 3rd quarter development • Inkscape SVGs • Processing code

  11. To Be Done • Improve upon program • Gather more data • Implement raster method

More Related