Fractal dimension and object eccentricity trends in natural and synthetic images

Authors

Maelori Krista Nambatac ⋅ PH National Institute of Physics, University of the Philippines Diliman
Ranzivelle Marianne Roxas-Villanueva ⋅ PH Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños
Giovanni Tapang ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We characterize the fractal dimension of images of overlapping ellipses for varying eccentricity values. Using the Box-Counting Method, we calculated the fractal dimensions of a synthetic (images of overlapping ellipses) and natural data set (images of green peas). A non-linear relation between the number of ellipses and the fractal dimension was found for all eccentricity values. Upon normalization with the area fraction, the best fit curve was found to be N^−α where 0.5 ≤ α ≤ 0.57. A similar trend between the fractal dimension and number of objects was also observed for the natural data.

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Issue

2012: Proceedings of the 30th Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP2012-5C-1

Section

Complex Systems

Published

2012-10-22

How to Cite

[1]

MK Nambatac, RM Roxas-Villanueva, and G Tapang, Fractal dimension and object eccentricity trends in natural and synthetic images, Proceedings of the Samahang Pisika ng Pilipinas 30, SPP2012-5C-1 (2012). URL: https://proceedings.spp-online.org/article/view/SPP2012-5C-1.