fractal-analysis

This is our standard library for nonlinear analysis. Many of these functions are the same we use in our services. We do have additional methods that are not public but could be made available in a future release. If you are interested in learning more, attending our workshops or webinars or using our data analysis services please contact us.

Materials to reproduce the paper "Spatiotemporal patterns of urbanization in three Swiss urban agglomerations: insights from landscape metrics, growth modes and fractal analysis"

Multi-Fractal Detrended Fluctuation Analysis (MFDFA) for fractal and long-range correlation analysis of time series

Code for "Nonlinear, Natural, and Noisy: A Quantitative Approach to the Collection and Analysis of Real-World Social Behavior" (Chiovaro & Paxton, under review).

A MATLAB code for fractal analysis of EEG signals

Time series analysis codes used in the company's data science projects.

In this project, we demonstrate the fractal dimension (FD) and manual segmentation of the Magnetic Resonance Imaging (MRI) of the heart that quantify amount of trabeculae inside the heart.

GeoSync — verification-first research infrastructure for falsifiable market-structure hypotheses, with explicit data contracts, null baselines, and replayable evidence.

fractalVideoGuard

Fractal System Model (FSM) Framework - Universal Emergence Theory Patterns

Open-Source Intelligence Framework for High-Precision Fractal Tomography and Real-Time Seismic Monitoring. Topics: seismology, fractal-analysis, python, open-science, earthquake-forecasting, topological-data-analysis

Fractal complexity analysis of EEG signals to track cognitive decline across healthy, MCI, and Alzheimer's groups.

Exact vector geometry box-counting & fractal dimension (Db) engine for SVG motifs, textile design & architecture.

Reproducible Python pipeline testing fractal, multifractal and Fibonacci/Elliott-wave claims in financial markets against stochastic benchmarks.

Reproducible R & Python workflow for fractal analysis of seismicity: box-counting (D0) and correlation (D2) dimensions, fault-network dimension, and maximum-likelihood Gutenberg–Richter b-value, with Mc selection and Gardner–Knopoff declustering. Case study: Marmara region, North Anatolian Fault Zone.

Those methods are useful, when one want to preprocess images that looks like textures

GeoFractBox1D is an open-source QGIS Processing tool for estimating one-dimensional fractal dimension of 1D spatial data and time-series using the classical box-counting method. It produces reproducible metrics including fractal dimension (D), scaling range, regression statistics, and diagnostic plots.

Automated ImageJ/Fiji workflow for fractal dimension analysis, skeleton analysis, and quantitative image preprocessing.

6-month learning journey from basic math to multifractal analysis (MF-DFA) of financial markets

Persistent homology and topological machine learning for quasiperiodic density-of-states data, combining Fibonacci tight-binding spectra with BCN material architectures to study spectral gaps, fractal scaling, and gap labeling.