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