Constraints ·Locally injective The orientation of each triangle is positive det>0. For boundary vertex,the mapping is locally bijective-> 0()>2π. 0()>2π θ()<2π Constraints • Locally injective • The orientation of each triangle is positive → det𝐽 > 0. • For boundary vertex, the mapping is locally bijective → 𝜃 𝒗 > 2𝜋. 𝜃 𝒗 < 2𝜋 𝜃 𝒗 > 2𝜋 𝒗