heatdiff 0.1.3

Image processing using heat equation for segmentation

heatdiff

Image processing algorithms based on the heat semigroup.

Installation

pip install .

Description

In this repository, we aim to demonstrate the application of the heat semigroup to a variety of image processing tasks such as

• A lossy compression tool for image processing, in particular, for image corruption and restoration (and it's stochastic analogue). One can conceptually view this method as a 'learning free' denoising diffusion model.
  See the following notebooks for more details:

  • Heat Semigroup process
  • Diffusion Process

• Image compression, via its use as a kernel in a weighted K-Means algorithm. See the above notebooks

• Image Segmentation, via the heat semigroup approximation of the Perimeter functional. See Heat Semigroup Segmentation

In the future, we aim to investigate further topics such as:

• Regularised image restoration.

• The integration of machine learning tools/integration into machine learning pipelines.

• Lossless compression.