Projection of a Barn

-

Projecting a 3D barn in 2D view plan.



  1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
#include <windows.h>
#include <gl/Gl.h>
#include <gl/glut.h>
#include <cmath> 

int WinWidth = 500, WinHeight = 500;

typedef struct{float x;float y;}Point2D;
typedef struct{float x;float y;float z;}Point3D;

Point3D COP = {0,0,-200}; // Centre Of Projection is at (0,0,-200)

Point3D A,B,C,D,E,F,G,H; // Vertices of the cube

Point2D Projected_A,Projected_B,Projected_C,Projected_D,Projected_E,Projected_F,Projected_G,Projected_H;

void InitCube(){
 A.x = 0; A.y = 0; A.z = 0;   // A(0,0,0)
 B.x = 200; B.y = 0; B.z = 0;  // B(200,0,0)
 C.x = 200; C.y = 200; C.z = 0;  // C(200,200,0)
 D.x = 0; D.y = 200; D.z = 0;  // D(0,200,0)

 E.x = 0; E.y = 200; E.z = 200;  // E(0,200,200)
 F.x = 0; F.y = 0; F.z = 200;  // F(0,0,200)
 G.x = 200; G.y = 0; G.z = 200;  // G(200,0,200)
 H.x = 200; H.y = 200; H.z = 200; // H(200,200,200)
}

void DrawCube(Point2D A, Point2D B, Point2D C, Point2D D, Point2D E, Point2D F, Point2D G, Point2D H){
 glPointSize(1.0);

 glBegin(GL_LINE_LOOP); 
 //DRAWING FRONT FACE
  glVertex2i(A.x, A.y); glVertex2i(B.x, B.y); glVertex2i(C.x, C.y); glVertex2i(D.x, D.y);
 glEnd();

 glBegin(GL_LINE_LOOP);
 //DRAWING BACK FACE
  glVertex2i(E.x, E.y); glVertex2i(F.x, F.y); glVertex2i(G.x, G.y); glVertex2i(H.x, H.y);
 glEnd();
 
 glBegin(GL_LINES);
 //DRAWING OTHER LINES
  glVertex2i(A.x, A.y); glVertex2i(F.x, F.y);

  glVertex2i(B.x, B.y); glVertex2i(G.x, G.y);

  glVertex2i(C.x, C.y); glVertex2i(H.x, H.y);

  glVertex2i(D.x, D.y); glVertex2i(E.x, E.y);
 glEnd();

 glFlush();
}

Point2D Project_Perspective(Point3D p, Point3D CoP){
 Point2D p2;
 float d = abs(CoP.z); // The distance between the COP and orign
 
 p2.x = d*(p.x)/(p.z+d);
 p2.y = d*(p.y)/(p.z+d);

 //.....wite necessary equations here for perspective transformation
 
 return p2;
}

Point2D translate2D(Point2D p, float tx, float ty){
    Point2D tp2;
 tp2.x = p.x + tx;
 tp2.y = p.y + ty;
 
 return tp2;
} 

Point3D translate3D(Point3D p, float tx, float ty, float tz){
    Point3D tp3;
 //.....wite the equations for 3D translation
 tp3.x = p.x + tx;
 tp3.y = p.y + ty;
 tp3.z = p.z + tz;
 return tp3;
} 

void Draw3DTranslation(){
 glClearColor(1.0f, 1.0f, 1.0f, 0.0f); 
 glClear(GL_COLOR_BUFFER_BIT);
 glColor3f(0.0f, 0.0f, 0.0f);

 Point3D COP ={100,100,-200};
 A = translate3D(A,-100,-100,200);
 B = translate3D(B,-100,-100,200);
 C = translate3D(C,-100,-100,200);
 D = translate3D(D,-100,-100,200);
 E = translate3D(E,-100,-100,200);
 F = translate3D(F,-100,-100,200);
 G = translate3D(G,-100,-100,200);
 H = translate3D(H,-100,-100,200);

 Projected_A = Project_Perspective(A,COP);
 Projected_B = Project_Perspective(B,COP);
 Projected_C = Project_Perspective(C,COP);
 Projected_D = Project_Perspective(D,COP);
 Projected_E = Project_Perspective(E,COP);
 Projected_F = Project_Perspective(F,COP);
 Projected_G = Project_Perspective(G,COP);
 Projected_H = Project_Perspective(H,COP);

 //2D Translation to Move Projected to Center Screen
 Projected_A = translate2D(Projected_A,WinWidth/2,WinHeight/2); 
 Projected_B = translate2D(Projected_B,WinWidth/2,WinHeight/2); 
 Projected_C = translate2D(Projected_C,WinWidth/2,WinHeight/2); 
 Projected_D = translate2D(Projected_D,WinWidth/2,WinHeight/2); 
 Projected_E = translate2D(Projected_E,WinWidth/2,WinHeight/2); 
 Projected_F = translate2D(Projected_F,WinWidth/2,WinHeight/2); 
 Projected_G = translate2D(Projected_G,WinWidth/2,WinHeight/2); 
 Projected_H = translate2D(Projected_H,WinWidth/2,WinHeight/2); 

 DrawCube(Projected_A,Projected_B,Projected_C,Projected_D,Projected_E,Projected_F,Projected_G,Projected_H);
}

void keyboard(unsigned char key, int x, int y)
{
    if (key == 'q' || key == 'Q')
        exit(EXIT_SUCCESS);
}

void myMouse(int button, int state, int x, int y) {
 if(state == GLUT_DOWN) 
 {
  if(button == GLUT_LEFT_BUTTON) 
  {
    
  }
  else if (button == GLUT_RIGHT_BUTTON) 
  {
    Draw3DTranslation();
  }
 }
}

void myDisplay()
{
 glClearColor(1.0f, 1.0f, 1.0f, 0.0f); 
 glClear(GL_COLOR_BUFFER_BIT);
 glColor3f(0.0f, 0.0f, 0.0f);

 Projected_A = Project_Perspective(A,COP); 
 Projected_B = Project_Perspective(B,COP); 
 Projected_C = Project_Perspective(C,COP); 
 Projected_D = Project_Perspective(D,COP); 
 Projected_E = Project_Perspective(E,COP); 
 Projected_F = Project_Perspective(F,COP); 
 Projected_G = Project_Perspective(G,COP); 
 Projected_H = Project_Perspective(H,COP); 

 //TRANSLATE TO MID POINT OF THE SCREEN
 Projected_A = translate2D(Projected_A,WinWidth/2,WinHeight/2); 
 Projected_B = translate2D(Projected_B,WinWidth/2,WinHeight/2); 
 Projected_C = translate2D(Projected_C,WinWidth/2,WinHeight/2); 
 Projected_D = translate2D(Projected_D,WinWidth/2,WinHeight/2); 
 Projected_E = translate2D(Projected_E,WinWidth/2,WinHeight/2); 
 Projected_F = translate2D(Projected_F,WinWidth/2,WinHeight/2); 
 Projected_G = translate2D(Projected_G,WinWidth/2,WinHeight/2); 
 Projected_H = translate2D(Projected_H,WinWidth/2,WinHeight/2); 

 DrawCube(
  // Calculate the following values
  Projected_A,
  Projected_B,
  Projected_C,
  Projected_D,
  Projected_E,
  Projected_F,
  Projected_G,
  Projected_H
 );

 
}


int main( int argc, char ** argv ) {
 glutInit( &argc, argv );
 glutInitWindowPosition( 0, 0 );
 glutInitWindowSize( WinWidth, WinHeight );
 glutCreateWindow( "Projection of a Cube" );

 glMatrixMode( GL_PROJECTION ); 
 glLoadIdentity();
 gluOrtho2D( 0, WinWidth, 0, WinHeight );
 glViewport(0, 0, WinWidth, WinHeight);

 InitCube();

 glutKeyboardFunc(keyboard); 
 glutMouseFunc( myMouse );
 glutDisplayFunc( myDisplay );
 glutMainLoop();

 return( 0 );
}

Comments

Post a Comment

Popular posts from this blog

Missionaries & Canibal Problem in AI using Pro Log

-
Introduction: Missionaries and Cannibals is a notable problem in Artificial Intelligence in which three Missionaries and three Cannibals attempt to cross a river to the other side using a boat.  However, there are constraints on the problem, most notably that there can never be more Cannibals than Missionaries on either side of the river (as they will be eaten!), the boat must always take across at least one person, and the goal state is when all Missionaries and all Cannibals have successfully reached the right side of the river from the left.  Thus, with these constraints in mind, they can be programmed into Prolog fairly simply, and a solution can be searched for.
Read more

Hide the navigation bar in jHipster Angular 2

-
Image
H iding a navigation bar is the easiest solution on Angular 2 version of jHipster . For this, you need to create a NavService and implement it on every component you need to show the navigation bar. Let's first create a service in the directory of your navigation component resides. import { Injectable } from '@angular/core'; @Injectable() export class NavbarService {   visible: boolean;   constructor() { this.visible = false; }   hide() { this.visible = false; }   show() { this.visible = true; }   toggle() { this.visible = !this.visible; } } There after you need to call this service on your navigation component constructor import { Component } from '@angular/core'; import { NavbarService } from './navbar.service'; @Component({   moduleId: module.id,   selector: 'sd-navbar',   templateUrl: 'navbar.component.html' }) export class NavbarComponent {   constructor( public nav: NavbarService ) {} } After the
Read more

Spring Boot - No Need to Restart the Development Server for Each Time

-
It's time for thinking about fastening your development on Spring Boot, Let's do some changes in dependency management and achieve the goals Spring Boot Developer Tools dependency doing a great job on change detection and refresh your current development server.   Just adding the following dependency on the pom.xml, if you are working with maven <dependencies> <dependency> <groupId> org.springframework.boot </groupId> <artifactId> spring-boot-devtools </artifactId> <optional> true </optional> </dependency> </dependencies> If you are going with Gradle dependencies { compile( "org.springframework.boot:spring-boot-devtools" ) }
Read more