Nurbs problem

Dear friends…

I am working on maps implementation. I found a map in the internet that represent the heights.

These are the steps that I did:

  1. I changed the map image to white-black. The more dark the color is, the more high the pixel is.

  2. I develop a program to read the image pixel by pixel and then store the colors of pixels in seperated lines in a text file.

  3. Now in my OpenGL C language program, I read the text file and fill the control point array which its dimentions are [253][396][3].

4- I used the Nurbs technique to draw the surface, but it dosen’t work. The problem is as I noticed if the size of the control points array of the surface because when I reduce the size of the array to [24][24][3] it works and draws part of the map. I noticed also the if the size of the array was more that 24 no surface will be drawn.

I am posting now the code, if you need to take a look at. And sorry for make this topic so long by posting the code, but I really need this for my project.

The “Points.h” header file:


#include <stdio.h>

#define IMAGE_WIDTH 253
#define IMAGE_HEIGHT 396


float controlpoints[IMAGE_WIDTH][IMAGE_HEIGHT][3];

//the next function is to fill the array from the text file Points.txt
void GetControlPoints()
{
	int increment = 1;

	FILE* pointsFile = fopen("D:\\Map\\Debug\\Points.txt", "r");

	if (pointsFile != NULL)
	{
		for (int i = 0; i < IMAGE_HEIGHT; i += increment)
		{
			for (int j = 0; j < IMAGE_WIDTH; j += increment)
			{
				controlpoints[j][i][0] = j;
				float y;
				fscanf(pointsFile, "%f", &y);
				controlpoints[j][i][1] = (1.0 - y) * 75.0;
				controlpoints[j][i][2] = i;
			}
		}
	}
}

THis is the source code file:


#include <GL/gl.h>
#include <GL/glu.h>
#include <GL/glut.h>
#include "Points.h"

void init();
void redraw(void);
void reshape(int, int);
void keyboard(unsigned char, int, int);
void mouseClicked(int, int, int, int);
void mouseMoved(int,int);


float spinX = 0.0f;
float spinY = 0.0f;
int mousePosX = 0;
int mousePosY = 0;

int mode = 0;
bool light = false;
bool showPoints = true;


int main()
{
	GetControlPoints();

	glutInitDisplayMode(GLUT_DOUBLE | GLUT_RGB | GLUT_DEPTH);
	glutInitWindowSize(1000, 700); 
	glutInitWindowPosition(50, 50);
	glutCreateWindow("Splines - 4");
	glutFullScreen();
	init();

	glutReshapeFunc(reshape);
	glutDisplayFunc(redraw);
	glutKeyboardFunc(keyboard);
	glutMouseFunc(mouseClicked);
	glutMotionFunc(mouseMoved);
	glutMainLoop();
	
	return 0;
}

void init()
{
	glClearColor (0.0, 0.0, 0.0, 0.0);

	GLfloat ambient[] = {1.0, 1.0, 1.0, 1.0};
	GLfloat mat_diffuse[] = {0.6, 0.6, 0.6, 1.0};
	GLfloat position[] = {200.0, 200.0, -200.0, 1.0};

	glLightfv(GL_LIGHT0, GL_AMBIENT, ambient);
	glLightfv(GL_LIGHT0, GL_POSITION, position);
	glMaterialfv(GL_FRONT_AND_BACK, GL_DIFFUSE, mat_diffuse);


	glEnable(GL_POINT_SMOOTH);
	glHint(GL_POINT_SMOOTH_HINT, GL_NICEST);
	glEnable(GL_BLEND);
	glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA);

	glEnable(GL_AUTO_NORMAL);
	glEnable(GL_DEPTH_TEST);
	glEnable(GL_NORMALIZE);
	glEnable(GL_MAP2_VERTEX_3);
}

void redraw(void)
{
	glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);

	glPushMatrix();
	glScalef(2.0, 2.0, 2.0);
	glRotatef(spinX, 1, 0, 0);
	glRotatef(spinY, 0, 1, 0);
	glTranslatef(-IMAGE_WIDTH / 2, 0.0, -IMAGE_HEIGHT / 2);


	if (showPoints == true)
	{
		glPointSize(2.0);
		glBegin(GL_LINES);
		{
			for(int i = 0; i < IMAGE_WIDTH; i++)
			{
				for (int j = 0; j < IMAGE_HEIGHT; j++)
				{
					glColor3f(1.0 - (controlpoints[i][j][1] / 75), 0.0, 0.0);
					glVertex3fv(&controlpoints[i][j][0]);
				}
			}
		}
		glEnd();
	}


	if (light == false)
	{
		glColor3f(1.0, 1.0, 1.0);
	}
	else
	{
		glEnable(GL_LIGHTING);
		glEnable(GL_LIGHT0);
	}

	GLUnurbsObj* nurb = gluNewNurbsRenderer();;

	switch (mode)
	{
		case 0:
			gluNurbsProperty(nurb, GLU_DISPLAY_MODE, GLU_OUTLINE_PATCH);
			break;

		case 1:
			gluNurbsProperty(nurb, GLU_DISPLAY_MODE, GLU_OUTLINE_POLYGON);
			break;

		case 2:
			gluNurbsProperty(nurb, GLU_DISPLAY_MODE, GLU_FILL);
			break;
	}

	GLfloat sknots[IMAGE_WIDTH * 2] = {0.0};
	for (int i = IMAGE_WIDTH; i < IMAGE_WIDTH * 2; i++)
	{
		sknots[i] = 1.0;
	}
		
	GLfloat tknots[IMAGE_HEIGHT * 2] = {0.0};
	for (int i = IMAGE_HEIGHT; i < IMAGE_HEIGHT * 2; i++)
	{
		tknots[i] = 1.0;
	}

	gluBeginSurface(nurb);
	{
		gluNurbsSurface(nurb, IMAGE_WIDTH * 2, sknots, IMAGE_HEIGHT * 2, tknots, 3, IMAGE_HEIGHT * 3,
			&controlpoints[0][0][0], IMAGE_WIDTH, IMAGE_HEIGHT, GL_MAP2_VERTEX_3);
	}
	gluEndSurface(nurb);

	if (light == true)
	{
		glDisable(GL_LIGHTING);
		glDisable(GL_LIGHT0);
	}

	glPopMatrix();


	glutSwapBuffers();
}

void reshape(int w, int h)
{
	glViewport(0, 0, (GLsizei)w, (GLsizei)h);
	glMatrixMode(GL_PROJECTION);
	glLoadIdentity();
	glOrtho((GLdouble)-w / 2, (GLdouble)w / 2, (GLdouble)-h / 2, (GLdouble)h / 2, (GLdouble)-w, (GLdouble)w);
	glMatrixMode(GL_MODELVIEW);
	glLoadIdentity();
}

void keyboard(unsigned char key, int x, int y)
{
	switch(key)
	{
		case ' ':
			mode = (mode + 1) % 3;
			glutPostRedisplay();
			break;

		case 'L':
		case 'l':
			light = !light;
			glutPostRedisplay();
			break;

		case 'P':
		case 'p':
			showPoints = !showPoints;
			glutPostRedisplay();
			break;

		case 27:
			exit(0);
			break;
	}
}

void mouseClicked(int button, int state, int xMouse, int yMouse)
{
	if(state == GLUT_DOWN)
	{
		mousePosX = xMouse;
		mousePosY = yMouse;
	}

	glutPostRedisplay();
}

void mouseMoved(int xMouse,int yMouse)
{
	spinY += (float)(xMouse - mousePosX) * 1.0f;
	spinX += (float)(yMouse - mousePosY) * 1.0f;
	mousePosX = xMouse;
	mousePosY = yMouse;

	glutPostRedisplay();
}

The contents of the Points.txt file that contain the data:


0.811764705882353
0.780392156862745
0.780392156862745
0.784313725490196
0.768627450980392
0.764705882352941
0.780392156862745
0.768627450980392
0.76078431372549
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0.768627450980392
0.772549019607843
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0.764705882352941
0.756862745098039
0.745098039215686
0.749019607843137
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0.

Dude, you cannot take the image sizes as s- and t-order for surface interpolation!
That would mean a polynome of order 397 in your case.
That’s way beyond any floating point precision and there actually is an implementation depending maximum and anthing higher than 8 will give you noise.

You probably want quadratic or cubic interpolation so set both order parameters to 3 or 4 so that the NURBS takes patches of 3x3 or 4x4 points for the interpolation.

Misunderstanding of “order” parameters is a usual beginner’s error with the OpenGL map evaluators as well.