bezier_surface.h

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#pragma once
#include "vde/core/point.h"
#include <vector>
 
namespace vde::curves {
using core::Point3D;
using core::Vector3D;
 
class BezierSurface {
public:
    BezierSurface(std::vector<std::vector<Point3D>> control_grid);
 
    [[nodiscard]] Point3D evaluate(double u, double v) const;
 
    [[nodiscard]] Vector3D derivative_u(double u, double v) const;
 
    [[nodiscard]] Vector3D derivative_v(double u, double v) const;
 
    [[nodiscard]] Vector3D normal(double u, double v) const;
 
    [[nodiscard]] int degree_u() const { return static_cast<int>(cp_.size()) - 1; }
 
    [[nodiscard]] int degree_v() const { return static_cast<int>(cp_[0].size()) - 1; }
 
private:
    std::vector<std::vector<Point3D>> cp_;  
 
    [[nodiscard]] Point3D de_casteljau(double t, const std::vector<Point3D>& pts) const;
};
 
}  // namespace vde::curves