Project4 Eigenfaces

by Kevin Chiu

Average Face

Eigenfaces

Recognized Faces vs. Number of Eigenfaces Used


Questions

1. Describe the trends you see in your plots. Discuss the tradeoffs; how many eigenfaces should one use? Is there a clear answer?

The number of recognized faces increased roughly monotonically, with horizontal asymptote at 27. At this scale, there is no visible improvement when using more than 11 eigenfaces. There doesn't seem to be a clear answer, unless you know exactly what percentage of error you can tolerate. (You will virtually never get 100% accuracy.)Tradeoffs: More eigenfaces give greater accuracy, but are take longer to process through the image.

2. You likely saw some recognition errors in step 3; show images of a couple. How reasonable were the mistakes? Did the correct answer at least appear highly in the sorted results?

Hits

Near Misses

At 13 Eigenfaces...


As you can see, the misses were pretty close. The correct answer was usually the second or third best face.

Cropped Elf

This didn't turn out too well. There is a false positive on the wall. This probably occured because we had nothing in the eigenface set that was close enough to the baby's face. The second best match is the man's face.

Cropped Image of Self

Scale Min: 0.15, Max: 0.2, Step: 0.01


IMG_0031.tga

Scale Min: 0.47, Max: 0.54, Step: 0.01

Group Photo

Scale Min: 0.3, Max: 0.6, Step: 0.02

False Positive: There was some difficulty with this image. The crease on Robert's shirt has a lower MSE than Nathan's face. The crease seems to act as an artifical nose, right eye socket, and mouth. Perhaps the high intensity portions of Nathan's face aligned on low intensity regions on the corresponding eigenfaces due to his off-center expression.