Journal of the Bulgarian Geographical Society 52: 157-182, doi: 10.3897/jbgs.e145478
Application of fractal analysis in interpreting 2D and 3D grayscale images: Methodologies and case studies
expand article infoIon Andronache
‡ Alma Mater Europaea University (AMEU), Maribor, Slovenia
Open Access
Abstract

This study investigates the application and performance of several fractal analysis methods for interpreting complex spatial patterns in 2D and 3D grayscale images. Using synthetic datasets with known properties, we systematically evaluate the accuracy of multiple fractal metrics. Among these, Fast Fourier Transform (FFT) dimension and Higuchi dimension proved the most effective in capturing both isotropic and anisotropic structural complexity. The methods were then applied to case studies that address land use change, deforestation, reveal fragmentation patterns, and spatial heterogeneity. Notably, fractal metrics offer consistent and scalable tools for monitoring landscape transformations over time, providing valuable insights for environmental assessment and biodiversity conservation.

Keywords
2D surface analysis, 3D volumetric analysis, biodiversity conservation, deforestation, fractal analysis, land use and land cover (LULC), sustainable development, synthetic data