Discrete Gaussian curvature at vertex v:
K(v) = 2π − Σ θᵢ (angle defect)
Gauss-Bonnet:
Σᵥ K(v) = 2π χ(M)
Cotangent Laplacian:
Δf(v) = Σ(cot αᵢ + cot βᵢ)(fⱼ−fᵢ)
Total K: —
Euler χ: —
Vertices: —
K(v) = 2π − Σ θᵢ (angle defect)
Gauss-Bonnet:
Σᵥ K(v) = 2π χ(M)
Cotangent Laplacian:
Δf(v) = Σ(cot αᵢ + cot βᵢ)(fⱼ−fᵢ)
Total K: —
Euler χ: —
Vertices: —