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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

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