feat: v0.5.0 P1 + 差异化功能 — Voronoi, Marching Cubes, 曲率, 序列化, Python绑定
新增功能: - core: 2D Voronoi 图(Delaunay 对偶图) - mesh: Marching Cubes(完整256项三角表 + SDF 辅助函数) - mesh: 离散曲率(Gaussian/Mean, Cotan 公式) - foundation: 二进制序列化(版本化格式,Little-Endian) - python: pybind11 绑定(30+ API 暴露) - marching_cubes.h: SDF 基本体(球/盒)+ 光滑布尔
This commit is contained in:
@@ -0,0 +1,47 @@
|
||||
#pragma once
|
||||
#include "vde/core/point.h"
|
||||
#include <vector>
|
||||
#include <array>
|
||||
#include <functional>
|
||||
|
||||
namespace vde::mesh {
|
||||
|
||||
struct MCMesh {
|
||||
std::vector<Point3D> vertices;
|
||||
std::vector<std::array<int, 3>> triangles;
|
||||
};
|
||||
|
||||
/// Marching Cubes for scalar field f(x,y,z)
|
||||
/// Extracts isosurface at value = iso_level within the bounding box
|
||||
MCMesh marching_cubes(const std::function<double(double,double,double)>& f,
|
||||
double iso_level,
|
||||
const Point3D& bmin, const Point3D& bmax,
|
||||
int resolution);
|
||||
|
||||
/// SDF sphere
|
||||
inline double sdf_sphere(double x, double y, double z, double cx, double cy, double cz, double r) {
|
||||
return std::sqrt((x-cx)*(x-cx) + (y-cy)*(y-cy) + (z-cz)*(z-cz)) - r;
|
||||
}
|
||||
|
||||
/// SDF box
|
||||
inline double sdf_box(double x, double y, double z, double hx, double hy, double hz) {
|
||||
double dx = std::abs(x) - hx, dy = std::abs(y) - hy, dz = std::abs(z) - hz;
|
||||
return std::sqrt(std::max(dx,0.0)*std::max(dx,0.0)
|
||||
+ std::max(dy,0.0)*std::max(dy,0.0)
|
||||
+ std::max(dz,0.0)*std::max(dz,0.0))
|
||||
+ std::min(std::max({dx,dy,dz}), 0.0);
|
||||
}
|
||||
|
||||
/// SDF smooth union
|
||||
inline double sdf_smooth_union(double d1, double d2, double k) {
|
||||
double h = std::clamp(0.5 + 0.5*(d2-d1)/k, 0.0, 1.0);
|
||||
return std::lerp(d2, d1, h) - k*h*(1.0-h);
|
||||
}
|
||||
|
||||
/// SDF smooth subtraction
|
||||
inline double sdf_smooth_subtraction(double d1, double d2, double k) {
|
||||
double h = std::clamp(0.5 - 0.5*(d2+d1)/k, 0.0, 1.0);
|
||||
return std::lerp(d2, -d1, h) + k*h*(1.0-h);
|
||||
}
|
||||
|
||||
} // namespace vde::mesh
|
||||
@@ -0,0 +1,18 @@
|
||||
#pragma once
|
||||
#include "vde/mesh/halfedge_mesh.h"
|
||||
#include <vector>
|
||||
|
||||
namespace vde::mesh {
|
||||
|
||||
struct CurvatureResult {
|
||||
std::vector<double> gaussian; // per-vertex Gaussian curvature
|
||||
std::vector<double> mean; // per-vertex mean curvature
|
||||
std::vector<double> area; // per-vertex Voronoi area
|
||||
};
|
||||
|
||||
/// Discrete curvature using Cotan formula (Meyer et al. 2003)
|
||||
/// Gaussian: K(v) = (2π - Σθ_j) / A_v (interior vertices)
|
||||
/// Mean: H(v) = ||Σ(cot α + cot β)·e|| / (2·A_v)
|
||||
CurvatureResult compute_curvature(const HalfedgeMesh& mesh);
|
||||
|
||||
} // namespace vde::mesh
|
||||
Reference in New Issue
Block a user