#pragma once
#include "vde/mesh/halfedge_mesh.h"
#include "vde/core/point.h"
#include <vector>

namespace vde::mesh {
using core::Point2D;
using core::Point3D;
using core::Vector3D;

/// Tutte embedding (harmonic parameterization) for a mesh with fixed boundary
/// Boundary vertices are mapped to a circle; interior vertices are solved via Laplacian
/// Returns per-vertex UV coordinates as Point2D
[[nodiscard]] std::vector<Point2D> tutte_parameterization(const HalfedgeMesh& mesh);

/// LSCM (Least Squares Conformal Maps) — simplified version
[[nodiscard]] std::vector<Point2D> lscm_parameterization(const HalfedgeMesh& mesh);

}  // namespace vde::mesh