DiffGeoOps

The project aims to find the principal, mean and gaussian curvatures on triangular meshes using the famous cotangent formula. The implementation is motivated from the following paper.

http://multires.caltech.edu/pubs/diffGeoOps.pdf

Requirements

The code uses the following libraries

• numpy
• csv
• mayavi (for plotting)

Make sure to install them before running the code.

Caution: Currently, the code supports meshes in .txt and .off format only.

Usage

The file curvature.py finds all the curvatures (principal, mean and gaussian) given a triangular mesh and stores the curvature values at each vertex of the triangular mesh in a csv file named output.csv.

If the mesh is in .off format, run

$ python curvature.py <path to off file>

If the mesh is in .txt format, run

$ python curvature.py <path to vertices.txt file> <path to triangles.txt file>

Caution: The first argument is the file containing vertices and the second argument is the file contatining triangles.

Plotting

The file plot.py shows the plots of the meshes with color scheme according to the value of curvatures. The file plot.py reads from the output.csv created by curvature.py. Make sure that the csv file is the same directory as plot.py.

If the mesh is in .off format, run

$ python plot.py <path to off file>

If the mesh is in .txt format, run

$ python plot.py <path to vertices.txt file> <path to triangles.txt file>

Caution: The first argument is the file containing vertices and the second argument is the file contatining triangles.

Outputs

The Gaussian Curvature plots of some of the meshes is shown below.

License

Copyright (c) 2019 Pranav Jain

For license information, see LICENSE or http://mit-license.org

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For bugs in the code, please write to: pranav16255 [at] iiitd [dot] ac [dot] in