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## Content of this project
## Test and Deploy
This project contains the software developed for the paper:
Use the built-in continuous integration in GitLab.
**Monotonicity-based shape reconstruction for an inverse scattering problem in a waveguide**
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by T. Arens, R. Griesmaier, and R. Zhang.
***
The following versions of the paper are available:
-[ ] [CRC Preprint 2022/69, December 2022](https://www.waves.kit.edu/downloads/CRC1173_Preprint_2022-69.pdf)
# Editing this README
The code is in the Matlab programming language.
When you're ready to make this README your own, just edit this file and use the handy template below (or feel free to structure it however you want - this is just a starting point!). Thank you to [makeareadme.com](https://www.makeareadme.com/) for this template.
## Suggestions for a good README
Every project is different, so consider which of these sections apply to yours. The sections used in the template are suggestions for most open source projects. Also keep in mind that while a README can be too long and detailed, too long is better than too short. If you think your README is too long, consider utilizing another form of documentation rather than cutting out information.
## Requirements
## Name
Choose a self-explaining name for your project.
The following additional software is necessary to run the code in this project:
- [ ] a recent version of Matlab,
- [ ] the BIEPack Matlab library for solving boundary integral equations (TODO: Provide link),
- [ ] the export_fig Matlab package, available from (https://github.com/altmany/export_fig)
## Description
Let people know what your project can do specifically. Provide context and add a link to any reference visitors might be unfamiliar with. A list of Features or a Background subsection can also be added here. If there are alternatives to your project, this is a good place to list differentiating factors.
Set the Matlab path so that the BIEPack files and export_fig will be found.
## Badges
On some READMEs, you may see small images that convey metadata, such as whether or not all the tests are passing for the project. You can use Shields to add some to your README. Many services also have instructions for adding a badge.
## Visuals
Depending on what you are making, it can be a good idea to include screenshots or even a video (you'll frequently see GIFs rather than actual videos). Tools like ttygif can help, but check out Asciinema for a more sophisticated method.
## Running the code
## Installation
Within a particular ecosystem, there may be a common way of installing things, such as using Yarn, NuGet, or Homebrew. However, consider the possibility that whoever is reading your README is a novice and would like more guidance. Listing specific steps helps remove ambiguity and gets people to using your project as quickly as possible. If it only runs in a specific context like a particular programming language version or operating system or has dependencies that have to be installed manually, also add a Requirements subsection.
All programs are contained in the src/ directory. The plots for the paper are created in the directory figures/.
## Usage
Use examples liberally, and show the expected output if you can. It's helpful to have inline the smallest example of usage that you can demonstrate, while providing links to more sophisticated examples if they are too long to reasonably include in the README.
Below is a brief description of each program file. See the individual program files for a detailed explanations.
## Support
Tell people where they can go to for help. It can be any combination of an issue tracker, a chat room, an email address, etc.
***src/plot_of_figure_?.m***
## Roadmap
If you have ideas for releases in the future, it is a good idea to list them in the README.
These are the driver files to create the plots in section 6 of the paper (Figures 6.1, 6.2 and 6.3). These
programs are called without any parameters and will produce the plots in these figures in PNG format.
## Contributing
State if you are open to contributions and what your requirements are for accepting them.
***src/operator_N.m***
For people who want to make changes to your project, it's helpful to have some documentation on how to get started. Perhaps there is a script that they should run or some environment variables that they need to set. Make these steps explicit. These instructions could also be useful to your future self.
This program computes a discretization of the near field operator for a scattering problem using the BIEPack
library. A number of scattering problems are solved and the scattered field is evaluated in certain receiver
points. These values form the column of the near field matrix that is returned by this function.
You can also document commands to lint the code or run tests. These steps help to ensure high code quality and reduce the likelihood that the changes inadvertently break something. Having instructions for running tests is especially helpful if it requires external setup, such as starting a Selenium server for testing in a browser.
***src/indicator_func.m***
## Authors and acknowledgment
Show your appreciation to those who have contributed to the project.
For a grid of points, this function computed the value of the indicator function proposed in the paper.
## License
For open source projects, say how it is licensed.
***src/operator_T_B.m***
## Project status
If you have run out of energy or time for your project, put a note at the top of the README saying that development has slowed down or stopped completely. Someone may choose to fork your project or volunteer to step in as a maintainer or owner, allowing your project to keep going. You can also make an explicit request for maintainers.
The indicator function uses the difference of the real part of the near field operator and the test operator
T_B. Given some point and the dimensions of the test domain, a discretization of this test operator is
