PyTransKit
Python Transport Based Signal Processing Toolkit
Website and documentation: https://pytranskit.readthedocs.io/
Installation
The library could be installed through pip
pip install pytranskit
Alternately, you could clone/download the repository and add the pytranskit
directory to your Python path
import sys
sys.path.append('path/to/pytranskit')
from pytranskit.optrans.continuous.cdt import CDT
Low Level Functions
CDT, SCDT
- Cumulative Distribution Transform (CDT) [1] tutorial [notebook] [nbviewer]
- Signed Cumulative Distribution Transform (SCDT) [6] tutorial [notebook] [nbviewer]
- SCDT tutorial with domain adaptation [notebook] [nbviewer]
R-CDT
CLOT
Classification Examples
- CDT Nearest Subspace (CDT-NS) classifier for 1D data [notebook] [nbviewer]
- SCDT Nearest Subspace (SCDT-NS) classifier for 1D data [8] [notebook] [nbviewer]
- Radon-CDT Nearest Subspace (RCDT-NS) classifier for 2D data [4] [notebook] [nbviewer]
- 3D Radon-CDT Nearest Subspace (3D-RCDT-NS) classifier for 3D data [notebook] [nbviewer]
Estimation Examples
- Time delay estimation using CDT [5] [notebook] [nbviewer]
- Time delay and linear dispersion estimation using CDT [5] [notebook] [nbviewer]
Transport-based Morphometry
- Transport-based Morphometry to detect and visualize cell phenotype differences [7] [notebook] [nbviewer]
References
- The cumulative distribution transform and linear pattern classification, Applied and Computational Harmonic Analysis, November 2018
- The Radon Cumulative Distribution Transform and Its Application to Image Classification, IEEE Transactions on Image Processing, December 2015
- A continuous linear optimal transport approach for pattern analysis in image datasets, Pattern Recognition, March 2016
- Radon cumulative distribution transform subspace modeling for image classification, Journal of Mathematical Imaging and Vision, 2021
- Parametric Signal Estimation Using the Cumulative Distribution Transform, IEEE Transactions on Signal Processing, May 2020
- The Signed Cumulative Distribution Transform for 1-D Signal Analysis and Classification, ArXiv 2021
- Detecting and visualizing cell phenotype differences from microscopy images using transport-based morphometry, PNAS 2014
- Nearest Subspace Search in the Signed Cumulative Distribution Transform Space for 1D Signal Classification, ArXiv 2021
Resources
External website http://imagedatascience.com/transport/