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<DT><STRONG>Viewer3D</STRONG>
	<DD>This class converts the 3D coordinates into the 2D
coordinates to draw on the canvases.  To show the 3D effect in 2D
case, this class rotates the object a little bit by y and z axis so
that the user can see the object as 3D effected.
<P>

<DT><STRONG>Polygon3D</STRONG>
	<DD>This class is the base class of any other objects that
would be displayed on the canvases such as view frustum and cube.
This class contains all the vertices on all three coordinate systems,
and the points that would be displayed on the canvases which is called
view coordinates in this class.
<P>

<DT><STRONG>ViewFrustum</STRONG>
	<DD>This class contains all the necessary information about
the view frustum.  This is extended class from the Polygon3D class
which means that it contains every thing from the Polygon3D and plus
whatever view frustum need to have.  Also, this class creates view
frustum in the viewing coordinate system according to the value of d,
f, h, camera location and camera to value.
<P>

<DT><STRONG>Cube</STRONG>
	<DD>This class contains all the necessary information about
the cube.  This class is extended class from the Polygon3D
class. Also, this class creates cube on the origin of the world
coordinate system according to the length of a edge. 
<P>

<DT><STRONG>Tview</STRONG>
	<DD>This class contains all the necessary information about
the <I><B>T</B>view</I>.  Also, this class creates the
<I><B>T</B>view</I> by doing the followings<BR>
	<UL>
	<LI> Find V, U, N vectors
	<LI> Create the T matrix
	<LI> Create the B matrix
	<LI> Create the <I><B>T</B>view</I> matrix by calculating TB
	<LI> Create the <I><B>T</B>view inv</I> matrix by calculating
<B>B</B><I>trnaspose<B>T</B>(-x)</I> 
	</UL>
<P>


<DT><STRONG>Tpers</STRONG>
	<DD>This class contains all the necessary information about
the <I><B>T</B>pers</I>.  Also, this class creates the
<I><B>T</B>pers</I> according to the d, h and f values that the user
entered. 
<P>


<DT><STRONG>worldCanvas</STRONG>
	<DD>This class contains all the necessary information of 
the world canvas.   Paints the objects in the world coordinate
system, and handle the rotation of the objects by draging the mouse on
the world coordinate system.
<P>

<DT><STRONG>viewCanvas</STRONG>
	<DD>This class contains all the necessary information of 
the view canvas.   Paints the objects in the viewing coordinate
system, and handle the rotation of the objects by draging the mouse on
the viewing coordinate system.
<P>

<DT><STRONG>screenCanvas</STRONG>
	<DD>This class contains all the necessary information of 
the screen canvas.   Paints the objects in the screen coordinate
system, and handle the rotation of the objects by draging the mouse on
the screen coordinate system.
<P>

<DT><STRONG>projectionCanvas</STRONG>
	<DD>This class contains all the necessary information of 
the projection canvas.   Paints the objects in the projection canvas
in two-dimentional manner.

<P>

<DT><STRONG>Matrix4x4</STRONG>
	<DD>This class contains the matrix calculation methods.  For
this class I have partially referenced from the code of Awwwesome
Webware.
<P>

<DT><STRONG>Vectorf</STRONG>
	<DD>This class contains the general vector calculation
methods.  This class is the base class of Vector4 or any other Vector
classes. For this class I have partially referenced from the code of
Awwwesome Webware.
<P>

<DT><STRONG>Vector4</STRONG>
	<DD>This class contains the four element vector calculation
methods.  This class is derived from the Vectorf class. For this class
I have partially referenced from the code of Awwwesome Webware.
<P>

</DL>

The detailed code of this project can be obtained by clicking on <!WA29><!WA29><!WA29><!WA29><!WA29><!WA29><!WA29><!WA29><!WA29><!WA29><!WA29><!WA29><A
HREF = "http://www.cs.cornell.edu/Info/People/shim/MENG/ViewingSystem.tar"> this</A>

<P>


<HR>

<A NAME="howThisWorks"></A>
<H2>How this program works</H2>
<P>
If you like to simulate the camera transformation to see how the
viewing system works, you may press on the viewing system.
<CENTER><H4><!WA30><!WA30><!WA30><!WA30><!WA30><!WA30><!WA30><!WA30><!WA30><!WA30><!WA30><!WA30><A HREF = "http://www.cs.cornell.edu/Info/People/shim/MENG/ViewingSystem.html">Viewing System
</A></H4></CENTER>
<P>
You will see four canvases in the viewing system which are the world
coordinate canvas, viewing coordinate canvas, screen coordinate canvas
and the projection coordinate canvas. As a user changes the
approximated V vector, camera location vector, camera to vector, d, f
and h values, this program redraws the objects according to the values
of variables that user entered on all these four canvas appropreately.
The user needed to press on VIEW button after they have changed the
values of variables to simulate the camera transformation.
<P>
<HR>



<A NAME="conclusion"></A>
<H2>Conclusion</H2>
<P>
I was able to simulate the camera transformation for viewing system in
this project.  By simulating the Viewing System IV, I had less
restriction when I view the object in the world coordinate since I
could change the camera position and where to look at.  Also, by
having the view frustum, I didn't have to relying on a two-dimentional
clipping algorithm to eliminate any information in the view plane that
falls outside the view plane window.  <P>
Eventhough this project performs just fine with my initial design, I
could think of some more features that could make this project works
even better.  First, adding more objects to view could make it better
to understand what is going on while viewing the object.  Second,
diminishing the line brightness when draw the object as it gets deeper
in Z axis could help the user a lot more to tell which line is in
front and which one is in the back. <P>

<P>
<HR>



<A NAME="acknowledgement"></A>
<H2>Acknowledgements</H2>
<P>
It would have been difficult to finish this project without the greatest
guidence of Professor <!WA31><!WA31><!WA31><!WA31><!WA31><!WA31><!WA31><!WA31><!WA31><!WA31><!WA31><!WA31><A HREF="http://www.tc.cornell.edu/~bruce/">
Bruce Land</A>.    I would like to thank him from the deep of my
heart.   <P>
I would like to thank my mother, Yeon-Ja Shim, for helping me
and praying for me to survive from the darkest period of my life.
Thanks to my brother and sister, Andy Shim and Julie Shim, for supporting
me and understanding me by financially and mentally.  I, also,
would like to thank to my friends and cyber-friends in HANA and KIDS. <P>
Most of all, I would like to dedicate this work to my father, Han-Yong
Shim who is in heaven, for giving me a strength and courage to
continue to learn and complete the Masters Degree in Cornell University.
<BR>
<BR>


<HR>

<A NAME="references"></A>
<H2>References</H2>
<P>

[1] Alan Watt, "3D Computer Graphics" Addison-Wesley Publishing Company, 1993.
<BR>
<BR>

<BR>
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