Normal Vectors Normal vectors for individual triangles are well-defined. Vertex normal:spatial averages of normal vectors in a local one-ring neighborhood. ∑Tea()arn(T) Zren()&rn(T)儿 1.constant weights:aT 1 2.triangle area:ar area(T) 3.incident triangle angles:a 0(T)Normal Vectors • Normal vectors for individual triangles are well-defined. • Vertex normal: spatial averages of normal vectors in a local one-ring neighborhood. 𝒏 𝑣 = 𝑇∈Ω 𝑣 𝛼𝑇𝒏 𝑇 𝑇∈Ω 𝑣 𝛼𝑇𝒏 𝑇 2 1. constant weights: 𝛼𝑇 = 1 2. triangle area: 𝛼𝑇 = area(𝑇) 3. incident triangle angles: 𝛼𝑇 = 𝜃(𝑇)