Projected Barzilai-Borwein Image Deconvolution with Infeasible Iterates (BBii-Decon)

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Projected Barzilai-Borwein Image Deconvolution with Infeasible Iterates (BBii-Decon)

The projected Barzilai-Borwein method of image deconvolution utilizing infeasible iterates (BBii-Decon), utilizes Barzilai-Borwein (BB) or projected BB (PBB) method and enforces a nonnegativity constraint, but allows for infeasible iterates between projections. This algorithm (BBii) results in faster convergence than the basic PBB method, while achieving better quality images, with reduced background than the unconstrained BB method (1).

The code represented is based on the original BBii algorithm written in MatLab by Kathleen Fraser and Dirk Arnold, which was ported to python 3.8 by Graham Dellaire, Dirk Arnold and Kathleen Fraser for non-commercial use.

The first implementation shown here is for 2D deconvolution using a known 2D PSF of 256 X 256 pixels, and images of at least 256 pixels in one dimension. One file implements just the deconvolution of a blurred image, while the second file contains a modification of the BBii-Decon algorithm that has a built in heuristic for measuring image reconstruction error relative to a ground truth image. For general 2D deconvolution, either a theoretical 2D PSF (if you know the optical properties of your system) or the central in focus image of a fluorescent bead taken with the same imaging setup (lens, magnification, camera) can produce a suitable PSF.


For most 2D deconvolution, optimal results are obtained with 10 iterations of the algorithm. However, if processing takes too long, acceleration using graphics processing units (GPUs) may make sense, especially for processing larger images with >10 iterations or 3D images. (Note: At this time BBii-Decon is optimized for 2D deconvolution, with a 3D implementation planned in future).

This plugin supports accelerated processing using the cupy library. To make use of it, please follow the instructions to install cupy. Installation may look like this:

conda create --name cupy_p38 python=3.8
conda activate cupy_p38
conda install -c conda-forge cupy cudatoolkit=10.2

If cupy installation worked out, you will find another checkbox in the user interface. By activating it, processing should become faster by factor 5-10, depending on processed image data and use GPU hardware.


Usage - napari

You can use the BBii deconvolution from within napari by clicking the menu Plugins > bbii-decon > bbii deconvolution. In the dialog, select the PSF, the image to process (a) and click on Run. After a moment, the deconvolved image (b) will show up.


Usage from python

You can also call the function from python. There is a full working example in this notebook.

from bbii_decon import bbii

bbii(PSF, image, number_of_iterations = 15, tau = 1.0e-08, rho = 0.98)


  1. Kathleen Fraser, Dirk V. Arnold, and Graham Dellaire (2014). Projected Barzilai-Borwein method with infeasible iterates for nonnegative least-squares image deblurring. In Proceedings of the Eleventh Conference on Computer and Robot Vision (CRV 2014), Montreal, Canada, pp. 189--194.

This napari plugin was generated with Cookiecutter using @napari's cookiecutter-napari-plugin template.


You can install bbii-decon via pip:

pip install bbii-decon

Installation for developers

Clone the github repository:

conda install git

git clone

cd BBii-Decon

pip install -e .

Deployment to pypi

For deploying the plugin to the python package index (pypi), one needs a pypi user account first. For deploying the plugin to pypi, one needs to install some tools:

python -m pip install --user --upgrade setuptools wheel
python -m pip install --user --upgrade twine

The following command allows us to package the souce code as a python wheel. Make sure that the 'dist' and 'build' folders are deleted before doing this:

python sdist bdist_wheel

This command ships the just generated to pypi:

python -m twine upload --repository pypi dist/*

Read more about distributing your python package via pypi.


Contributions are very welcome. Tests can be run with tox, please ensure the coverage at least stays the same before you submit a pull request.


Distributed under the terms of the BSD-3 license, "bbii-decon" is free and open source software


If you encounter any problems, please file an issue along with a detailed description.


  • 0.0.1

Last updated:

  • 13 December 2021

First released:

  • 13 December 2021


Supported data:

  • Information not submitted

Plugin type:

GitHub activity:

  • Stars: 2
  • Forks: 0
  • Issues + PRs: 0

Python versions supported:

Operating system:


  • napari-plugin-engine (>=0.1.4)
  • numpy
  • pypher