Copyright © 2015 Hao Li

CSCI 420: Computer Graphics FS 2017

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Course Overview




This course is an introduction to three-dimensional computer graphics. Students will learn both theory of 3D computer graphics, and how to program it efficiently using OpenGL. Topics include 2D and 3D transformations, Bézier and B-Spline curves for geometric modeling, interactive 3D graphics programing, computer animation, kinematics, and rendering including ray tracing, shading, and lighting. There will be an emphasis on the mathematical and geometric aspects of computer graphics, This course is regularly offered every semester (the instructor may vary as well as the content). There will be 3 hours of lecture (by instructor), and 1 hour of discussion (by instructor or TA) every week.

This page will be frequently updated with the latest slides, exercises, and additional reading materials. Also, this course will be dynamic as it is being improved during the semester.

Lecture URL

Exercises / Q&A


Class number




Lecture, 4 units


03:30 pm - 06:50 pm


LVL 17 (Leavey Library)

651 W 35th St.



Office hours




Office hours


Prof. Dr. Hao Li

SAL 244 (sometimes Joseph Lim and his students are in there, no idea why)

Tue 2:00 PM - 3:00 PM

Chloe Legendre

PHE 108

Tue 1:00 PM - 3:00 PM


Tue Aug 22, 2017

Tue Aug 29, 2017

Tue Sep 05, 2017

Tue Sep 12, 2017

Tue Sep 19, 2017

Tue Sep 26, 2017

Tue Oct 03, 2017

Tue Oct 10, 2017

Tue Oct 17, 2017

Tue Oct 24, 2017

Tue Oct 31, 2017

Tue Nov 07, 2017

Tue Nov 14, 2017

Tue Nov 21, 2017

Tue Nov 28, 2017

Tue Dec 05, 2017

Tue Dec 12, 2017



No Class


Basic Graphics Programming

Input and Interaction


Viewing and Projection

Hierarchical Modeling

Polygonal Meshes, Curves, & Surfaces


Lighting and Shading

Shading in OpenGL

Texture Mapping

Bump Mapping & Clipping


Ray Tracing

Geometric Queries

Spatial Data Structures

Midterm Exam

Guest Talk I

Programmable Graphics Hardware

Global Illumination

Animation Principles

Computer Animation

Quaternion and Rotations

Physically Based Simulation I

Physically Based Simulation II

I/O Technologies & VR

The Future of Computer Graphics

Guest Talk II

No Class (Study Days)

Final Exam, at TBA



[Ex. 1 Out]

[Ex. 1 Due]

[Ex. 2 Out]

[Ex. 2 Due]

[Ex. 3 Out]

[Ex. 3 Due]


  1. While this course is self-contained, students should have solid background in linear algebra, C/C++ programming, and

  2. CSCI 104L: Data Structures and Object Oriented Design

  3. MATH 225: Linear Algebra and Linear Differential Equations

Course Material

  1. This course is based on the following textbooks:

  1. Resources:

  1. Supplemental books:

  1. Prerequisite-related Resources:

Statement for Students with Disabilities

Any student requesting academic accommodations based on a disability is required to register with Disability Services and Programs (DSP) each semester. A letter of verification for approved accommodations can be obtained from DSP. Please be sure the letter is delivered to me (or to TA) as early in the semester as possible. DSP is located in STU 301 and is open 8:30 a.m.–5:00 p.m., Monday through Friday. The phone number for DSP is (213) 740-0776.

Statement on Academic Integrity

USC seeks to maintain an optimal learning environment. General principles of academic honesty include the concept of respect for the intellectual property of others, the expectation that individual work will be submitted unless otherwise allowed by an instructor, and the obligations both to protect one’s own academic work from misuse by others as well as to avoid using another’s work as one’s own. All students are expected to understand and abide by these principles. Scampus, the Student Guidebook, contains the Student Conduct Code in Section 11.00, while the recommended sanctions are located in Appendix A: Students will be referred to the Office of Student Judicial Affairs and Community Standards for further review, should there be any suspicion of academic dishonesty. The Review process can be found at:

Emergency Preparedness/Course Continuity in a Crisis

Ahahahaha! In case of a declared emergency if travel to campus is not feasible, USC executive leadership will announce an electronic way for instructors to teach students in their residence halls or homes using a combination of Blackboard, teleconferencing, and other technologies (LOL!).

Please activate your course in Blackboard with access to the course syllabus. Whether or not you use Blackboard regularly, these preparations will be crucial in an emergency. USC's Blackboard learning management system and support information is available at

For Those Who Want to Dive Deeper

If you are curious and interested in doing more research related to Computer Graphics and Computer Vision.

  1. You may want to browse interesting research papers in the top avenues in graphics (Siggraph, Siggraph Asia, ACM TOG, Eurographics) and computer vision (CVPR, ICCV, ECCV), as well as some more specialized but equally excellent conferences (SGP, SCA, 3DV).

  1. Assignments: 50% = 16% + 17% + 17%

  2. Mid-terms exam: 20%

  3. Final exam: 30%

Good news everyone! All assignments must be completed to pass the course. The assignments have bonus credits.

Late Policy

  1. Programming assignments should be turned in by midnight on the day they are due. A total of three late days may be taken during the semester on programming assignments. For example, you can use one late day on the second assignment, and two on the third assignment. All days are counted, including any weekends and holidays, as follows:
    Less than 24 hours late = 1 late day, 24-48 hours late = 2 late days, 48-72 hours late = 3 late days, and so on.

  2. The flexibility provided by the late days is intended to get you through the time where all your classes just happen to have assignments due on the same day. Beyond the three late days, there will be a penalty of 10% of the value of the assignment / day. Exceptions will be granted only under most dire circumstances and must be discussed with and approved by the instructor at least one week in advance.















Or call Dr. Bregler:








Class number





  1. Edward Angel: Interactive Computer Graphics: A Top-Down Approach Using OpenGL, Fifth edtition, Published: Addison Wesley, ISBN: 9780321535863

  2. Dave Shreiner: OpenGL Programming Guide: The Official Guide to Learning OpenGL, Versions 3.0 and 3.1, Seventh edition, Publisher: Addison-Wesley Professional, ISBN: 9780321552624

  1. Textbook support by the author, Edward Angel

  2. Real-Time Rendering Resources

  3. OpenGL homepage:

  4. OpenGL Red Book online, Version 1.1

  5. OpenGL SDK documentation on

  6. OpenGL tutors for windows by Nate Robins

  1. Real-Time Rendering. Thomas Akenine-Möller and Eric Haines. 2nd edition, AK Peters, 2002. ISBN 1-56881-182-9.

  2. Computer Graphics: Principles and Practice. James D. Foley, Andries van Dam, Steven K. Feiner, and John F. Hughes. 2nd edition in C, Addison-Wesley, 1996. ISBN 0201848406.

  3. Fundamentals of Computer Graphics. Peter Shirley, Steve Marschner. 3rd edition, A K Peters, 2009. ISBN 1568814690.

  4. An Introduction to Ray Tracing. Andrew S. Glassner, editor, Academic Press, 1989. ISBN 0-12-286160-4.

  5. Advanced Animation and Rendering Techniques, Theory and Practice. Alan Watt and Mark Watt, ACM Press and Addison-Wesley, 1992. ISBN 0-201-54412-1.

  1. (Math for graphics) Appendices B and C of the course textbook (Angel)

  2. (Math for graphics) Chapter 2, "Miscellaneous Math" of Shirley and Marschner, Fundamentals of Computer Graphics

  3. Introduction to Linear Algebra. Gilbert Strang. Wellesley-Cambridge Press, 1998. ISBN 0-9614088-5-5.

  4. Calculus: Early Transcendentals. James Stewart. Fourth edition, Brooks/Cole Publishing Company, 1999. ISBN 0-534-36298-2.

  5. Khan Academy, free math instructional videos

  6. The C Programming Language. Brian W. Kernighan and Dennis M. Ritchie. Second edition, Prentice Hall, 1988. ISBN 0-13-110362-8 (paperback).




I would like to thank Jernej Barbič and Sathyanaraya Raghavachary for providing the lecture material. This lecture is based on the computer graphics courses taught by Frank Pfenning and Jessica Hodgins from CMU. This course has also been influenced by computer graphics courses at Cornell, MIT, UC Berkeley,  EPFL, and Stanford.

Yijing Li

PHE 108

Fri 10:00 AM - 12:00 PM

Zimo Li

PHE 108

We 1:00 PM - 3:00 PM

Varun Agrawal

Aditya Aggarwal



[slides]   [example]



[slides]   [discussion]