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Meshes

Simplest possible representation of 3D surfaces: set of triangles

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

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

mesh car

circle Vertex

\(\mathcal{V}=(v_1, …​, v_N)\)

edge Edge

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

face Face

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

mesh dragon