Recognition by Linear Combinations of Models. By Shimon Ullman & Rosen Basri Presented by: Piotr Dollar Nov. 19, 2002. Key Ideas. A 2d image that has undergone a linear transformation can be expressed as a linear combination of a few other 2d images! This is very, very cool!
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By Shimon Ullman & Rosen Basri
Nov. 19, 2002
here we go
x = ax1 + bx2
[x1,… xk] = a[x1,… xk] + b[x21,… x2k]
= sin(α-θ) / sin α + sin θ / sin α (x cos α + z sin α)
= x cos θ + z sin θ
a2 + b2 + 2ab cos α = 1
take a deep breath
(note that in the case of rotation about the vertical axis the y –coordinates of points d not change)
V*P = c * q
where c is a scalar and q some fixed vector.
On to general linear transformations
(on board to avoid matrix in PPT)
(especially chapter 5).