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Welcome to Geometry Central

Geometry-central is a modern C++ library of data structures and algorithms for geometry processing, with a particular focus on surface meshes.

Features include:

  • A polished surface mesh class, with efficient support for mesh modification, and a system of containers for associating data with mesh elements.
  • Implementations of canonical geometric quantities on surfaces, ranging from normals and curvatures to tangent vector bases to operators from discrete differential geometry.
  • A suite of powerful algorithms, including computing distances on surface, generating direction fields, and manipulating intrinsic Delaunay triangulations.
  • A coherent set of sparse linear algebra tools, based on Eigen and augmented to automatically utilize better solvers if available on your system.


// Load a mesh
std::unique_ptr<SurfaceMesh> mesh;
std::unique_ptr<VertexPositionGeometry> geometry;
std::tie(mesh, geometry) = readSurfaceMesh("spot.obj"); 

// Compute vertex areas
VertexData<double> vertexAreas(*mesh);

for(Vertex v : mesh->vertices()) {
  double A = 0.;
  for(Face f : v.adjacentFaces()) {
    A += geometry->faceAreas[f] /;
  vertexAreas[v] = A;

For more, see the tutorials. To get started with the code, see building. Use the sample project to get started with a build system and a gui.

Related alternatives: CGAL, libIGL, OpenMesh, Polygon Mesh Processing Library, CinoLib


Geometry-central is developed by Nicholas Sharp, with many contributions from Keenan Crane, Yousuf Soliman, Mark Gillespie, Rohan Sawhney, and many others.

If geometry-central contributes to an academic publication, cite it as:

  title = {geometry-central},
  author = {Nicholas Sharp and Keenan Crane and others},
  note = {},
  year = {2019}

Development of this software was funded in part by NSF Award 1717320, an NSF graduate research fellowship, and gifts from Adobe Research and Autodesk, Inc.