ModelView program

    The ModelView program will let you experiment with using 4x4 matrices to perform transformations in 3-space.  The purpose of this program for this class is twofold:

Getting started:  Find the ModelView program in the C++ Projects folder.  Compile and run.  Try the following items:

( )
0 0 -1 0
0 1 0 0
1 0 0 0
0 0 0 1


Composing transformations.  The other buttons can be used to compose transformations, e.g., to see the effect of a translation followed by a rotation (or vice-versa.)  
    The operation of the program is little difficult to explain, but here goes:  There are 3 matrices that are being maintained, there is a matrix M (main matrix), a matrix C (current matrix) and the displayed matrix D.    The transformation that is applied to the teapot or the letter F is the matrix CM. (the matrix product).
Initially all matrices are the identity.   The D matrix is what you edit on the screen.  The buttons on the dialog have the following functions:

Important:  The transformations are composed by premultiplying.   This is the easy way to intuitively create and visualize the composition of transformations.  However, in OpenGL, transformations are post-multiplied, so your program has to apply the transformations in the reverse order from how you apply them in this demonstration program.

Try it out: Smooth vs. Flat shading:  Find the place in the code where the teapot is drawn in ModelviewView.cpp..  Change GL_FLAT to GL_SMOOTH to do smooth shading.  How does this change the appearance of the teapot?    You might want to scale the teapot by a factor of 2 to see the difference more clearly?  Can you see the individual polygons in the smooth shading mode?