ConceptDiscrete Exterior Calculus / DEC / 离散外微积分
Discrete exterior calculus
A mathematical framework that transfers calculus operations from continuous differential geometry, such as gradient, curl, divergence and the Laplacian, onto discrete meshes. It defines discrete differential forms via chain complexes and cochains, and represents the exterior derivative operator with incidence matrices.
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Oct 15
The discrete Hodge Laplacian formula is L_0 = star_0^{-1} d_0^T star_1 d_0, which plays a role in discrete exterior calculus similar to the continuous Laplacian and can quantify the high-frequency content at each vertex on the mesh.
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