Simplification of Vector Field Topology - MATLAB Code

Keshav Chandak(IMT2021003)

Akash Perla(IMT2021530)

This folder contains MATLAB codes for the simplification of vector field topology. The codes named Original_Topo_Main.m and Simplified_Topo_Main.m are needed to be executed for visualisation. The test vector field functions are stored in test_vector_field.m.

Installation

Before you can run the code, you need to have MATLAB installed on your machine. If you do not have MATLAB, you can download and install it from the official website: https://www.mathworks.com/products/matlab.html.

Usage

To run the code, follow the steps below:

1. Download the codes as a ZIP file and extract it to the local machine.
2. Open MATLAB and navigate to the folder where you extracted the code.
3. Open Original_Topo_Main.m or Simplified_Topo_Main.m in MATLAB depending on which code you want to run.
4. Run Original_Topo_Main.m or Simplified_Topo_Main.m in MATLAB by using the Run button on the navigation bar.
5. After the code is run, the command window asks for the following:-

   Choose a test field by selecting number between 1 and 4:(enter appropriate value)

6. Wait for some time to see the graph generated.
7. To see the difference between the original topology and the simplified topology, it is advisable to enter the same number as choice of test vector field when running these codes, so that the difference between them is visible.

The codes will generate output files in the same folder as the code. The output files will contain the topology graph of the vector field for the chosen test case. The graph generated by Original_Topo_Main.m will be saved as Original_Topology.png, and the graph generated by Simplified_Topo_Main.m will be saved as Simplified_Topology.png.

Example Usage

Suppose you want to run Original_Topo_Main.m for the second test case. Follow the steps below:

1. Clone this repository or download the code as a ZIP file and extract it to your local machine.
2. Open MATLAB and navigate to the folder where you extracted the code.
3. Open Original_Topo_Main.m in MATLAB and run it.
4. After the code is run, the command window asks for the following:-

   Choose a test field by selecting number between 1 and 4:2

5. The graph generation takes some time and then after the whole execution of the code, a graph is generated which is the original topology of test field 2 and it is stored in the local system in the same directory as well named Original_Topology.png