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15-463 (15-862): Computational Photography
Computer Science Department
Carnegie Mellon University

INSTRUCTOR: Alexei (Alyosha) Efros (Office hours: T Th 1:30-2pm, NSH 4207)
TA: Mohit Gupta (Office hours: W 11-12, EDSH 208)
SEMESTER: Fall 2006
NEWSGROUP: cmu.cs.class.cs463 (read this for important information!)
WEB PAGE: http://graphics.cs.cmu.edu/courses/15-463/
: TR 12:00--1:20 PM

Computational Photography is an emerging new field created by the convergence of computer graphics, computer vision and photography. Its role is to overcome the limitations of the traditional camera by using computational techniques to produce a richer, more vivid, perhaps more perceptually meaningful representation of our visual world.

The aim of this advanced undergraduate course is to study ways in which samples from the real world (images and video) can be used to generate compelling computer graphics imagery. We will learn how to acquire, represent, and render scenes from digitized photographs. Several popular image-based algorithms will be presented, with an emphasis on using these techniques to build practical systems. This hands-on emphasis will be reflected in the programming assignments, in which students will have the opportunity to acquire their own images of indoor and outdoor scenes and develop the image analysis and synthesis tools needed to render and view the scenes on the computer.


  • Cameras, Image Formation
  • Image and Video Processing (filtering, anti-aliasing, pyramids)
  • Image Manipulation (warping, morphing, mosaicing, matting, compositing)
  • Data-driven Synthesis
  • Visual Perception
  • High Dynamic Range Imaging and Tone Mapping
  • Image-Based Lighting
  • Image-Based Rendering
  • Non-photorealistic Rendering

Programming experience and familiarity with linear algebra and calculus is assumed. Some background in computer graphics, computer vision, or image processing is helpful. This class does not significantly overlap with 15-462 and can be taken concurrently.
Graduate Students: a small number of graduate students will be allowed to take the graduate version of this course (15-862) with the permission of the instructor. Students taking 15-862 will be required to do more substratial assignments as well as a research-level final paper.
Note: if the system doesn’t let you sign up, or puts you on the waitlist, do talk to me.


  1. Images of the Russian Empire -- colorizing the Prokudin-Gorskii photo collection:


2. Face morphing and modeling:



  3. Stitching Photo Mosaics


  4. Feature Matching for Autostitching


  5. Single-View Reconstruction (Tour into the Picture):


Final Projects!

Since Computational Photography is such a new discipline, no comprehensive textbook exists for use in the class. Therefore, there is no required text. Various course notes and papers will be made available. Furthermore, there is an optional textbook that you might find helpful. It will be placed on reserve at the Wean Hall library:

Computer Vision: The Modern Approach, Forsyth and Ponce

There is a number of other fine texts that you can use for general reference:

Photography (8th edition), London and Upton, (a great general guide to taking pictures)
Vision Science: Photons to Phenomenology, Stephen Palmer (great book on human visual perception)
Digital Image Processing, 2nd edition, Gonzalez and Woods (a good general image processing text)
The Art and Science of Digital Compositing, Ron Brinkmann (everything about compositing)
Multiple View Geometry in Computer Vision, Hartley & Zisserman (a bible on recovering 3D geometry)
The Computer Image, Watt and Policarpo (a nice “vision for graphics” text, somewhat dated)
3D Computer Graphics (3rd Edition), Watt (a good general graphics text)
Fundamentals of Computer Graphics, Peter Shirley (another good general graphics text)
Linear Algebra and its Applications, Gilbert Strang (a truly wonderful book on linear algebra)

The instructor is extremely grateful to a large number of researchers for making their slides available for use in this course. Steve Seitz and Rick Szeliski have been particularly kind in letting me use their wonderful lecture notes. In addition, I would like to thank Paul Debevec, Stephen Palmer, Paul Heckbert, David Forsyth, and others, as noted in the slides. The instructor gladly gives permission to use and modify any of the slides for academic and research purposes. However, please do also acknowledge the original sources where appropriate.





Tu Aug 29


Th Aug 31



Tu Sept 5

Capturing Light… in man and machine

  • Slides (ppt, pdf)
  • Forsyth & Ponce, Ch 6

Th Sept 7

Image Processing


Tu Sept 12

Image Warping

Th Sept 14

Image Morphing

Tu Sept 19

Face Modeling

Th Sept 21

Guest Lecture by Mohit

Slides forthcoming

Tu Sept 26

No class


Th Sept 28

Fourier Analysis without tears

Slides (ppt, pdf)

Tu oct 3

Convolution, Edge Detection, and Sampling

Slides (ppt, pdf)

Th Oct 5

Modeling Light

Slides (ppt, pdf)

Bob Shaw, “Light of Other Days”

Tu Oct 10

Homographies and Mosaics



Th Oct 12

Image Pyramids and Blending

Tu Oct 17

More Mosaic Madness

Tu Oct 24

Direct Automatic Alignment (Optical Flow)


Th Oct 26

Feature-Based Alignment and RANSAC


Tu Oct 31

Video Texture


Th Nov 2

Texture Synthesis


Tu Nov 7

Background Subtraction and Matting


Th Nov 9



Tu Nov 14

Single View Modeling


Th Nov 16

More Single View Geometry


Tu Nov 21

Triangulation and Environment Matting


Tu Nov 28

High Dynamic Range Images


Th Nov 30

Image-Based Lighting

Tu Dec 5

Image-Based Lighting II

Th Dec 7

3D from two and more views

Slides (ppt, pdf)


Although it is not required, students are highly encouraged to obtain a digital camera for use in the course (one can get a pretty good camera for under $300). A couple cameras with tripods will be available on loan from the instructor.

Grading will be based on a set of programming assignments (60%), a midterm (15%) and a final project presentation (25%). There will be no final exam. For the programming assignments, students will be allowed a total of 5 (five) late days; each additional late day will incur a 10% penalty.

Students taking 15-862 will also be required to submit a conference-style paper describing their final project.

All students will have access to the graphics cluster in Wean Hall 5336. You will need to setup your Andrew account in the right way before you can longin. Follow these instructions (replacing 462 with 463). A universal memory card reader will be installed so that you can download the data from your Compact Flash, Memory Stick, or other card.

Students will be encouraged to use Matlab (with the Image Processing Toolkit) as their primary computing platform. Besides being a great prototyping environment, Matlab is particularly well-suited for working with image data and offers tons of build-in image processing functions. Here is a link to some useful Matlab resources

Previous offerings of this course can be found here.



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