cartan-remesh

Adaptive remeshing primitives for triangle meshes on Riemannian manifolds.

Part of the cartan workspace.

Overview

cartan-remesh provides local mesh modification operations for Mesh<M, 3, 2> from cartan-dec. All operations are generic over M: Manifold, and every mutation is recorded in a RemeshLog so that downstream solvers can interpolate fields across topology changes.

Primitives:

• split_edge, bisects an edge and inserts a new vertex.
• collapse_edge, removes a short edge by merging its endpoints.
• flip_edge, swaps the diagonal of two adjacent triangles.
• shift_vertex, repositions a vertex within its one-ring.

Higher-level tools:

• length_cross_ratio and LCR conformal regularisation (spring energy and gradient) for maintaining mesh quality.
• adaptive_remesh, a driver that applies split/collapse/flip/shift passes with a curvature-CFL criterion controlled by RemeshConfig.

Example

use cartan_dec::FlatMesh;
use cartan_manifolds::Euclidean;
use cartan_remesh::{adaptive_remesh, RemeshConfig};

let mut mesh = FlatMesh::unit_square_grid(8);
let config = RemeshConfig::default();
let log = adaptive_remesh(&mut mesh, &Euclidean::<2>, &config);
println!("remesh ops: {} splits, {} collapses", log.splits.len(), log.collapses.len());

License

MIT