https://github.com/lruizap/tomography-with-algebraic-topology
This project aims to analyze images using algebraic topology. The goal is to extract structural information from images through mathematical concepts such as connected components and loops.
https://github.com/lruizap/tomography-with-algebraic-topology
gudhi jupyter-notebook matplotlib numpy opencv python tomography
Last synced: 3 months ago
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This project aims to analyze images using algebraic topology. The goal is to extract structural information from images through mathematical concepts such as connected components and loops.
- Host: GitHub
- URL: https://github.com/lruizap/tomography-with-algebraic-topology
- Owner: lruizap
- Created: 2025-02-02T15:08:59.000Z (4 months ago)
- Default Branch: main
- Last Pushed: 2025-02-02T15:10:22.000Z (4 months ago)
- Last Synced: 2025-03-28T19:15:54.360Z (3 months ago)
- Topics: gudhi, jupyter-notebook, matplotlib, numpy, opencv, python, tomography
- Language: Jupyter Notebook
- Homepage:
- Size: 1 MB
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
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README
# Tomography with Algebraic Topology
## Project Description
This project aims to analyze images using **algebraic topology**. The goal is to extract structural information from images through mathematical concepts such as **connected components and loops**.
### Objectives
1. **Transform grayscale images** by applying different thresholds.
2. **Analyze changes in topological structures** as the threshold varies.
3. **Visualize this analysis** through **Beta curves** and **persistence diagrams**.
## Requirements
Ensure you have the following libraries installed before running the code:
| Library | Description |
|----------|------------|
| `opencv-python` | For loading and processing images. |
| `numpy` | For numerical matrix manipulation. |
| `matplotlib` | For visualizing images and graphs. |
| `gudhi` | For topological analysis and persistence diagrams. |
### Installation
You can install all required libraries using the following command:
```bash
pip install opencv-python numpy matplotlib gudhi
```
## Usage
To run the project, simply open the notebook and follow the instructions in the cells. Make sure to have the images in the appropriate folder before executing the code.
## Author
This project was developed to study the application of algebraic topology in image analysis.
## License
This project is licensed under the MIT License. You are free to use, modify, and distribute it.