Computer Graphics
Summer 2007

Tuesdays, 6pm - 8:20pm
WWH 101

Assigment 1
DUE: 6/4/07 11:59pm -- DEADLINE CHANGE :  6/5/07 6pm

In this assignment you will write a program that draws a simple 3D scene. Positioning the objects and changing the position of the camera will require use of modeling transformations. Reading Chapter 3 from the red book as well as the appendix on homogeneous coordinates would be useful.

Your program should display a scene consisting of a table and 4 chairs standing on a rectangle, representing the floor(You can add more objects, if you'd like).  Positions and dimensions of objects are shown in this document.

Initially set the camera into the position 4 units above the ground, 4 units to the left from the center of the table, and 4 units down(towards the side of the picture with the rotated chair).  Make sure to pick an appropriate field of view, such that the scene fills most of the picture.


Do not use the following commands in this assignment:
*any aux or glut commands for drawing objects
*glTranslate, glRotate, glScale - implement their functionality using the formulas we discussed in class.

For matrix operations only use glLoadMatrix, glMultMatrix, glPushMatrix, glPopMatrix.

Note: Feel free to use these "disallowed" commands for debugging your code. Once you are sure everything else works replace these calls with your versions.


To see the scene, we need a light source. If we do not put a light somewhere, the polygons of the scene are still visible, but they are flat- shaded i.e. all pixels in the image of any polygon have the same color. Pictures
like this do not look very interesting, especially if all polygons have the same color (default is white). To make things more interesting, either make boxes of different colors, using glColor3f() function calls or use a single light.

We will  discuss lighting in greater detail later. For this assignment, add the following  OpenGL calls after you create your GLUT window, but before you call the glutMainLoop function.
This will add two lights, red and blue, to your scene.

GLfloat diffuse[] = {0.8, 0.8, 0.8, 1.0};
GLfloat lgt1_diffuse[] = { 0.05f, 0.05f, 0.6f, 1.0f };
GLfloat lgt2_diffuse[] = { 0.6f, 0.05f, 0.05f, 1.0f };
GLfloat light_pos1[] = { 5.0f, 5.0f, 0.0f, 1.0f };
GLfloat light_pos2[] = { -5.0f, 5.0f, 0.0f, 1.0f };
glMaterialfv( GL_FRONT, GL_DIFFUSE, diffuse);
glLightfv(GL_LIGHT1, GL_POSITION,light_pos1);
glLightfv(GL_LIGHT1, GL_DIFFUSE, lgt1_diffuse);
glLightfv(GL_LIGHT2, GL_POSITION,light_pos2);
glLightfv(GL_LIGHT2, GL_DIFFUSE, lgt2_diffuse);

To make the lighting work, you also need to specify normals for each polygon.
Here is an example of the code that defines a unit square in the XY plane with
normal pointing along Z:

glNormal3f(0.0f, 0.0f, 1.0f);
glVertex3f(0.0f, 0.0f, 0.0f);
glVertex3f(1.0f, 0.0f, 0.0f);
glVertex3f(1.0f, 1.0f, 0.0f);
glVertex3f(0.0f, 1.0f, 0.0f);

Implementation Suggestions

Trying to calculate positions of all vertices of all objects in the scene by hand is not a very good idea since it would be difficult to move objects if you were to do this.

Typically, one builds scenes like this hierarchically as explained at the lectures. First, notice that all objects can be built out of boxes. Write a function that draws a box. Then write functions that draw the table and the chair, setting up proper transforms and calling the function that draws boxes to draw various parts of the object. Finally, write a function that draws the whole scene.

Make as few preliminary calculations on paper as possible. Try to structure your program in such a way that all objects and their positions are computed directly from the data in the picture, without any manual calculations.

Avoid having too many specific dimensions in your program: try to parametrize each object by several numbers; for example, all you need to specify for the table is the length of legs, the thickness of the lid, the size of the cross-section of a leg, and the distance from the leg to the edge.

While debugging the scene, use simple camera positions and orientations (e.g. looking along X, Y and Z axes). By default, the camera can be thought of as located at zero looking along negative Z axis. To make the scene visible, simply add
in the beginning of your drawing routine. To get two other views, add
It is useful to be able to see the coordinate system for debugging purposes. You can draw thin long boxes of different colors along the positive directions of the axes.

Possible extra credit ideas:

- implement visualization from the three axes and switch between these three views using key presses.
- add more objects 
based on transformations applied to box objects to the scene. Be creative!  

Adapted from one of Denis Zorin's assignments.