OpenGL 4 : 一个漂亮的心 For you, My Love

画一个心形有非常多公式能够使用,以下这个公式我觉得最完美了:

float x = R * 16 * pow(sin(theta), 3);
float y = R * (13 * cos(theta) - 5*cos(2*theta) - 2*cos(3*theta) - cos(4*theta));

画出来的心形最美丽,最原始的笛卡尔的心形是个肥心,没这个好看,呵呵。

效果例如以下:

OpenGL 4 : 一个漂亮的心 For you, My Love

数学參考:

http://mathworld.wolfram.com/HeartCurve.html

http://www.mathematische-basteleien.de/heart.htm

#pragma once
#include <stdio.h>
#include <gl\glew.h>
#include <GL\freeglut.h>
#include "math_3d.h"
#include <cmath> namespace Tutorial2_Heart
{
const static float PI = 3.1415926f;
int gSegments;
GLuint VBO; void genHeart_2(Vector3f *vers, int offset, int segments,
float ox, float oy, float R = 0.05)
{
for (int i = 0; i < segments; i++)
{
float theta = 2.0f * PI * float(i) / float(segments); float x = R * 16 * pow(sin(theta), 3);
float y = R * (13 * cos(theta) - 5*cos(2*theta)
- 2*cos(3*theta) - cos(4*theta)); vers[offset+i] = Vector3f(ox+x, oy+y, 0.0f);
}
} void genGeometry()
{
const int segments = 360;
Vector3f vers[segments];
gSegments = segments;
genHeart_2(vers, 0, segments, 0.f, 0.f); glGenBuffers(1, &VBO);
glBindBuffer(GL_ARRAY_BUFFER, VBO);
glBufferData(GL_ARRAY_BUFFER, sizeof(vers), vers, GL_STATIC_DRAW);
} static void renderScene()
{
glClear(GL_COLOR_BUFFER_BIT); glEnableVertexAttribArray(0);
glBindBuffer(GL_ARRAY_BUFFER, VBO);
glVertexAttribPointer(0, 3, GL_FLOAT, GL_FALSE, 0, 0); glDrawArrays(GL_LINE_LOOP, 0, gSegments); glDisableVertexAttribArray(0); glutSwapBuffers();
} void initCallBack()
{
glutDisplayFunc(renderScene);
} int run(int argv, char **argc)
{
glutInit(&argv, argc);
glutInitDisplayMode(GLUT_DOUBLE | GLUT_RGBA);
glutInitWindowSize(600, 600);
glutInitWindowPosition(50, 50);
glutCreateWindow("Heart Shape"); initCallBack(); GLenum res = glewInit();
if (res != GLEW_OK)
{
fprintf(stderr, "Error:'%s'\n", glewGetErrorString(res));
return 1;
} genGeometry(); glClearColor(0.8f, 0.1f, 0.1f, 0.0f); glutMainLoop(); return 0;
}
}
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