Meshes

• Simplest possible representation of 3D surfaces: set of triangles

• Described as a triplet: (Vertices, Edges, Faces)

• \(S=(\mathcal{V}, \mathcal{E}, \mathcal{F})\)

Vertex

\(\mathcal{V}=(v_1, ..., v_N)\)

Edge

\(\mathcal{V}=(v_1, ..., v_{N_e})\in(\mathcal{V}^2)^{N_e}\)

Face

\(\mathcal{F}=(f_1, ..., f_N)\in(\mathcal{V}^3)^{N_f}\)