Common behavior of fractal dimension and object eccentricity in natural and synthetic images

Authors

Maelori Krista J. Nambatac ⋅ PH National Institute of Physics, University of the Philippines Diliman
Ranzivelle Marianne L. Roxas ⋅ PH National Institute of Physics, University of the Philippines Diliman
Giovanni A. 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 (BCM), we calculated the fractal dimensions of both synthetic images from overlapping ellipses and natural forms comprised of green peas. The fractal dimension varies nonlinearly with the number of ellipses contained in the image. Upon normalization, a common trend of fractal dimension for different eccentricities was observed for both synthetic and natural data.

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Issue

2010: Proceedings of the 28th Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP-2010-PA-38

Section

Poster Session PA

Published

2010-10-25

How to Cite

[1]

MKJ Nambatac, RML Roxas, and GA Tapang, Common behavior of fractal dimension and object eccentricity in natural and synthetic images, Proceedings of the Samahang Pisika ng Pilipinas 28, SPP-2010-PA-38 (2010). URL: https://proceedings.spp-online.org/article/view/SPP-2010-PA-38.