Delauny三角剖分算法解析及源码

最新推荐文章于 2025-05-27 01:24:32 发布

cjc雪狼

最新推荐文章于 2025-05-27 01:24:32 发布

阅读量4.1k

点赞数

CC 4.0 BY-SA版权

分类专栏：算法/数据结构文章标签： delauny三角剖分算法解析 delauny三角剖分算法源码

本文链接：https://blog.youkuaiyun.com/cjc211322/article/details/40779655

本文深入解析Delaunay三角剖分算法，并提供了详细的源码实现，帮助读者理解并掌握该算法。

摘要生成于 C知道，由 DeepSeek-R1 满血版支持，前往体验 >

算法的相关解析见点击打开链接，讲得不错

源码

#ifndef _TRIANGULATION_H
#define _TRIANGULATION_H

// TYPES //////////////////////////////////////////////////
typedef struct VERTEX2D_TYP
{
	float x;
	float y;

} VERTEX2D, *VERTEX2D_PTR;

typedef struct EDGE_TYP
{
	VERTEX2D v1;
	VERTEX2D v2;

} EDGE, *EDGE_PTR;

typedef struct TRIANGLE_TYP
{
	int i1;											// vertex index
	int i2; 
	int i3; 

	TRIANGLE_TYP* pNext;
	TRIANGLE_TYP* pPrev;

} TRIANGLE, *TRIANGLE_PTR;

typedef struct MESH_TYP
{
	int vertex_num;
	int triangle_num;

	VERTEX2D_PTR pVerArr;	// point to outer vertices arrary
	TRIANGLE_PTR pTriArr;		// point to outer triangles arrary

} MESH, *MESH_PTR;


// PROTOTYPES ///////////////////////////////////////////
// Delaunay triangulation functions
void InitMesh(MESH_PTR pMesh, int ver_num);
void UnInitMesh(MESH_PTR pMesh);

void AddBoundingBox(MESH_PTR pMesh);
void RemoveBoundingBox(MESH_PTR pMesh);;
void IncrementalDelaunay(MESH_PTR pMesh);

void Insert(MESH_PTR pMesh, int ver_index);
bool FlipTest(MESH_PTR pMesh, TRIANGLE_PTR pTestTri);

float InCircle(VERTEX2D_PTR pa, VERTEX2D_PTR pb, VERTEX2D_PTR pp, VERTEX2D_PTR  pd);
float InTriangle(MESH_PTR pMesh, VERTEX2D_PTR pVer, TRIANGLE_PTR pTri);

void InsertInTriangle(MESH_PTR pMesh, TRIANGLE_PTR pTargetTri, int ver_index);
void InsertOnEdge(MESH_PTR pMesh, TRIANGLE_PTR pTargetTri, int ver_index);

// Helper functions
void RemoveTriangleNode(MESH_PTR pMesh, TRIANGLE_PTR pTri);
TRIANGLE_PTR AddTriangleNode(MESH_PTR pMesh, TRIANGLE_PTR pPrevTri, int i1, int i2, int i3);

// I/O functions
void Input(char* pFile, MESH_PTR pMesh);
void Output(char* pFile, MESH_PTR pMesh);

#endif

// Tiangulation.cpp : 定义控制台应用程序的入口点。
//
// File: Delaunay.cpp
// Description: Delaunay class to triangluate points set in 2D. 
// TODO: The procedure uses Double List for holding data, it can be optimized by using another data structure such as DAG, Quad-edge, etc.
// Author: SoRoMan
// Date: 05/10/2007
// Version: 1.0
// History: 
//

#include "stdafx.h"

// GLOBALS ////////////////////////////////////////////////
// FUNCTIONS /////////////////////////////////////////////

// The format of input file should be as follows:
// The First Line: amount of vertices (the amount of vertices/points needed to be triangulated)
// Other Lines: x y z (the vertices/points coordinates, z should be 0 for 2D)
// E.g. 
// 4
// -1 -1 0
// -1 1 0
// 1 1 0
// 1 -1 0
void Input(char* pFile, MESH_PTR pMesh)
{
	FILE* fp = fopen(pFile, "r");

	if (!fp)
	{
		fprintf(stderr,"Error:%s open failed\n", pFile);
		exit(1);
	}

	//int face;
	int amount;

	//fscanf( fp, "%d", &face);
	fscanf( fp, "%d", &amount);
	if (amount < 3)
	{
		fprintf(stderr,"Error:vertex amount should be greater than 2, but it is %d \n",amount);
		exit(1);
	}

	InitMesh(pMesh, amount);

	float x,y,z;
	for ( int j=3; j<amount+3; ++j)
	{
		fscanf( fp, "%f %f %f", &x, &y, &z);
		((VERTEX2D_PTR)(pMesh->pVerArr+j))->x = x;
		((VERTEX2D_PTR)(pMesh->pVerArr+j))->y = y;
	}


	fclose(fp);
}

// Algorithm IncrementalDelaunay(V)
// Input: 由n个点组成的二维点集V
// Output: Delaunay三角剖分DT
//	1.add a appropriate triangle boudingbox to contain V ( such as: we can use triangle abc, a=(0, 3M), b=(-3M,-3M), c=(3M, 0), M=Max({|x1|,|x