# Progress Report - 22 Jun 2007

1. What were my goals for this week?

• Literature search for clustering
• Speak to Aaron about implementing a clustering algorithm in the Matlab program
• Interface program with Mike's motion program
• Generate some IMAGES!!

2. What did I accomplish this week?

• Lots of reading
• Significant brainstorm session on how to go about representing the motions
• Comparisons between types of decompositions of transformation matrices - polar, SVD, and Alexa's exponentials
• Did some hand-drawn images for translation/rotation to get a feel for what we'll need to generate

3. Why are numbers 1 and 2 different?

Unfortunately didn't get much clustering work done at all - spent most of the time working on how to get a meaningful arrow out of the information we have. This took most of the week, seeing as there are a bunch of different methods for doing so. Also had to do some psychological case testing, consisting mostly of drawing out various types of arrows and figuring out what they would imply about the motion, in an attempt to try and get to the point where I would be communicating the appropriate things to the viewer.

This took most of the week, as the papers were pretty mathy, and not only did I want to try and understand how the decompositions worked thoroughly enough to be able to implement something, but also try and understand the A = x0\x1 operation thoroughly enough to implement it in C++, which I looked at for about half a day and then gave up on as a waste of time for now. (Also, spent Friday morning helping Greg with the images for his paper.)

Ran into a wall with Alexa's implementation - log(A) ended up with complex entries - until I figured out that there were specific logarithm and exponential implementations for matrices. Once I started using logm(A) and expm(A), things went a lot better. D'oh.

4. What are my goals for next week?

• Finish up the work for Mitchell Lab
• Maybe do some more reading?

5. How does this fit in my bigger picture?

Get the Mitchell Lab stuff done so that I can concentrate completely on research!

6. What did I read this week?

• Shoemake, Ken and Tom Duff, Matrix Animation and Polar Decomposition.
• Cutting, James E, Representing motion in a static image: constraints and parallels in art, science, and popular culture.
• Nienhaus, Marc and Jurgen Dollner, Depicting Dynamics Using Principles of Visual Art and Narrations.
• Alexa, Marc, Linear Combination of Transformations.
• Cutting, James E. and Lynn T. Kozlowski, Recognizing friends by their walk: Gait perception without familiarity cues.
• Szeliski, Richard, Image Alignment and Stitching: A Tutorial.
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