CS 448 - Topics in Computer Graphics
Mathematical Methods for Computer Graphics
- Autumn, 1997
- 3 (+/NC or letter grade)
- limited to 25 students
- Time and Place
- Tue/Thu 2:30 - 3:45, 392 Gates Hall (graphics lab conference room)
- Pat Hanrahan,
and Denis Zorin
- Teaching Assistant
- Cindy Chen
- Office hours
- Home Page
- CS 348A -
Computer Graphics: Mathematical Foundations
- CS 348B - Computer
Graphics: Image Synthesis Techniques
Recent work in computer graphics has been stimulated by a
variety of mathematical techniques, both classical and new.
The goal of this course is to introduce students to some of
these mathematical concepts, to show how they are useful in
computer graphics, and to provide a starting point for
graduate students who wish to apply these ideas in their own
research. We will cover the following topics: wavelets,
subdivision surfaces, Monte Carlo algorithms, interval
techniques and automatic differentiation, and differential
Three will be 4 written assignments, corresponding to the
major topics of the class:
In addition, each student will be required to submit typeset
notes of one lecture, and proof-read notes for another. The
assignments will mostly consist of mathematical problems, little
if any programming will be required.
- Monte-Carlo Methods
- Differential Geometry
There will be no exams. The grade will be based on assignments.
Each assignment will count as 25% of the grade; no one
can pass the class without submitting satisfactory notes
for the assigned lecture and ALL assignments.
Late Assignments If you expect that you won't be able to turn in
the assignment on time, notify us in advance to avoid late penalties.
Unexpected circumstances will be considered on individual basis.
The penalty is 5% a day; the assignments cannot be turned in more
then one week after the deadline.
Collaboration You may discuss the problems with friends, but
we recommend that you think about the problem yourself before discussing
it with anyone. You should not read complete solutions written by other people.
Textbooks and Reading
There will be no textbooks required for the class. We will provide you
with lists of recommended books for each topic.
The primary source of information at the class will be the lectures.
We will try to provide you with copies of our slides or notes for the lectures.
In addition, we will make copies of journal articles and papers
on the topics covered in the class. The problems in the assignments
may rely on the material which is not presented in class but is
discussed in the handouts.
We ask each person in the class to scribe one lecture and review the
notes produced by another student for a second lecture. The collection
of these notes will be made available to all students in the class.
A significant part of the material presented in the class is not
covered or is not presented in a concise form in any textbook,
and a collective effort would allow us to create a set of notes
that no student or lecturer would be able to put together on
his own. In addition, scribing one of the lectures would definitely
give you an opportunity to understand a topic in greater detail.
The scribing assignments will be made after the first class
meeting. The notes should be typeset and reviewed within one
week after the lecture; the version including corrections
suggested by the reviewer is returned to the lecturer for final
review; the lecturer might request further changes in the
notes. The final version of the notes will be made available to
There are also some additional scribing resources available.
Last update: September 24, 1997
Copyright © 1997 Pat Hanrahan, Eric Veach, and Denis Zorin