请用c++实现平面分割三维mesh模型的代码

为了实现平面分割三维mesh模型的代码，我们需要用到以下步骤：

1. 加载三维模型数据（例如，使用Assimp库）。

2. 对三维模型进行平面分割，这可以使用任何分割算法，例如，使用平面方程或法向量来定义平面，并将模型分割为两个部分，然后递归进行分割直到满足特定条件。

3. 对每个分割后的部分进行三角形网格重构，以便在切割平面的两侧分别创建新的三角形网格。

4. 最后，输出分割后的三维模型数据。

下面是C++实现平面分割三维mesh模型的代码：

#include <iostream>
#include <vector>
#include <glm/glm.hpp>
#include <assimp/Importer.hpp>
#include <assimp/postprocess.h>
#include <assimp/scene.h>

using namespace std;
using namespace glm;

struct Triangle {
    vec3 p1, p2, p3;
};

struct Mesh {
    vector<Triangle> triangles;
};

struct Plane {
    vec3 normal;
    float distance;
};

vector<Mesh> splitMeshByPlane(const Mesh& mesh, const Plane& plane) {
    vector<Mesh> result;

    Mesh mesh1, mesh2;

    for (const auto& triangle : mesh.triangles) {
        bool isOnPositiveSide = dot(plane.normal, triangle.p1 - plane.normal * plane.distance) > 0;
        bool isOnNegativeSide = dot(plane.normal, triangle.p1 - plane.normal * plane.distance) < 0;

        if (isOnPositiveSide) {
            mesh1.triangles.push_back(triangle);
        } else if (isOnNegativeSide) {
            mesh2.triangles.push_back(triangle);
        } else {
            // Triangle is on the plane
            mesh1.triangles.push_back(triangle);
            mesh2.triangles.push_back(triangle);
        }

        isOnPositiveSide = dot(plane.normal, triangle.p2 - plane.normal * plane.distance) > 0;
        isOnNegativeSide = dot(plane.normal, triangle.p2 - plane.normal * plane.distance) < 0;

        if (isOnPositiveSide) {
            mesh1.triangles.push_back(triangle);
        } else if (isOnNegativeSide) {
            mesh2.triangles.push_back(triangle);
        } else {
            // Triangle is on the plane
            mesh1.triangles.push_back(triangle);
            mesh2.triangles.push_back(triangle);
        }

        isOnPositiveSide = dot(plane.normal, triangle.p3 - plane.normal * plane.distance) > 0;
        isOnNegativeSide = dot(plane.normal, triangle.p3 - plane.normal * plane.distance) < 0;

        if (isOnPositiveSide) {
            mesh1.triangles.push_back(triangle);
        } else if (isOnNegativeSide) {
            mesh2.triangles.push_back(triangle);
        } else {
            // Triangle is on the plane
            mesh1.triangles.push_back(triangle);
            mesh2.triangles.push_back(triangle);
        }
    }

    if (!mesh1.triangles.empty()) {
        result.push_back(mesh1);
    }

    if (!mesh2.triangles.empty()) {
        result.push_back(mesh2);
    }

    return result;
}

int main() {
    Assimp::Importer importer;

    const aiScene* scene = importer.ReadFile("model.obj", aiProcess_Triangulate | aiProcess_JoinIdenticalVertices);

    if (!scene) {
        cout << "Failed to load model!" << endl;
        return 1;
    }

    Mesh mesh;

    for (unsigned int i = 0; i < scene->mNumMeshes; i++) {
        const aiMesh* aiMesh = scene->mMeshes[i];

        for (unsigned int j = 0; j < aiMesh->mNumFaces; j++) {
            const aiFace& face = aiMesh->mFaces[j];

            Triangle triangle;
            triangle.p1 = vec3(aiMesh->mVertices[face.mIndices[0]].x, aiMesh->mVertices[face.mIndices[0]].y,
                               aiMesh->mVertices[face.mIndices[0]].z);
            triangle.p2 = vec3(aiMesh->mVertices[face.mIndices[1]].x, aiMesh->mVertices[face.mIndices[1]].y,
                               aiMesh->mVertices[face.mIndices[1]].z);
            triangle.p3 = vec3(aiMesh->mVertices[face.mIndices[2]].x, aiMesh->mVertices[face.mIndices[2]].y,
                               aiMesh->mVertices[face.mIndices[2]].z);

            mesh.triangles.push_back(triangle);
        }
    }

    // Split mesh using plane
    Plane plane;
    plane.normal = vec3(0, 1, 0);
    plane.distance = 0;

    vector<Mesh> splitMeshes = splitMeshByPlane(mesh, plane);

    // Output split meshes
    for (unsigned int i = 0; i < splitMeshes.size(); i++) {
        cout << "Mesh " << i << endl;
        cout << "Triangles:" << endl;

        Mesh& splitMesh = splitMeshes[i];

        for (unsigned int j = 0; j < splitMesh.triangles.size(); j++) {
            cout << "Triangle " << j << endl;
            cout << "P1: " << splitMesh.triangles[j].p1.x << ", " << splitMesh.triangles[j].p1.y << ", "
                 << splitMesh.triangles[j].p1.z << endl;
            cout << "P2: " << splitMesh.triangles[j].p2.x << ", " << splitMesh.triangles[j].p2.y << ", "
                 << splitMesh.triangles[j].p2.z << endl;
            cout << "P3: " << splitMesh.triangles[j].p3.x << ", " << splitMesh.triangles[j].p3.y << ", "
                 << splitMesh.triangles[j].p3.z << endl;
        }

        cout << endl;
    }

    return 0;
}

这个代码使用Assimp库加载了一个三维模型，并使用平面方程来分割模型。分割后，它输出了每个分割部分的所有三角形。这个代码只是一个简单的示例，可以根据需要进行更改和扩展。