Development of a Fractal Dimension Calculator Kelly Ran.

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Presentation transcript:

Development of a Fractal Dimension Calculator Kelly Ran

Background: Fractal Dimension Lines: D=1 Squares: D=2 Fractals: Non-integer D Calculated using a formula Research applications

Background: 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

Purpose and Goal Is it possible to calculate D from vector images? Goal: To calculate D from SVG images and to show calculations on a display screen

Procedures Create SVG files Path Recursion levels Sierpinski Triangle, 3 iterations Sierpinski Triangle, 6 iterations

Procedures Processing language Import SVG Get() method Array of objects D calculation: size N of grid, number s of grids Hash table: N is key, s is value

Testing Line, square Fractals with known fractal dimensions

2 nd quarter development New project idea All new stuff Focus this quarter on SVG language

Problems Problems with importing SVG files into Processing (using Processing's built-in method)‏ If I can't solve that problem, I'll write my own method to import SVG files

Results: SVG coding H-Tree fractal, 5 iterations Sierpinski Carpet, 3 iterations