StereoVision_1 - Nanyang Technological University
StereoVision_1 - Nanyang Technological University
StereoVision_1 - Nanyang Technological University
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Estimating Fundamental Matrix<br />
The Fundamental Matrix equation in full<br />
We can rewrite as<br />
School of Computer Engineering<br />
<strong>Nanyang</strong> <strong>Technological</strong> <strong>University</strong><br />
1<br />
[ x y 1]<br />
f f f y = 0<br />
l<br />
l<br />
⎡ f<br />
⎢<br />
⎢<br />
⎣ f<br />
4<br />
7<br />
f<br />
f<br />
2<br />
5<br />
8<br />
1<br />
SC437<br />
Computer Vision and Image Processing<br />
f<br />
3<br />
6<br />
⎤ ⎡xr<br />
⎤<br />
⎥ ⎢ ⎥ r<br />
⎥ ⎢ 1 ⎥<br />
⎦ ⎣ ⎦<br />
4<br />
[ x x y x y x y y y x y ] ⎢ ⎥ = −1<br />
xl r l r l l r l r l r r<br />
…<br />
known values from<br />
1 correspondence<br />
unknown values<br />
to be computed<br />
:<br />
⎡<br />
⎢<br />
⎢<br />
⎢<br />
⎢<br />
⎢<br />
⎢<br />
⎢<br />
⎣<br />
f<br />
f<br />
f<br />
f<br />
f<br />
f<br />
f<br />
f<br />
1<br />
2<br />
3<br />
5<br />
6<br />
7<br />
8<br />
⎤<br />
⎥<br />
⎥<br />
⎥<br />
⎥<br />
⎥<br />
⎥<br />
⎥<br />
⎦<br />
TJ Cham<br />
2002-03 / S2