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Scarica (PDF – 6.19 MB)

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Light from a scene passes through this single point and projects an<br />

inverted image on the opposite side of the box. Cameras using small<br />

apertures and the human eye in bright light both act like a pinhole<br />

camera [40].<br />

The pinhole camera model is based on the principle of collinearity,<br />

where each point in the object space is projected by a straight line<br />

through the projection center into the image plane. Figure 5 shows the<br />

geometric model of a pinhole camera. The camera coordinate system<br />

Q<br />

Y<br />

R<br />

1<br />

Image plane<br />

Y<br />

2<br />

O<br />

X<br />

x 1<br />

Figure 5: Geometric model of the pinhole camera. [40]<br />

(O, X1, X2, X3) has its origin at the camera aperture (which is consid-<br />

ered infinitely small, coincident with a point). Axis X3 is pointing in<br />

the viewing direction of the camera and is referred to as the optical<br />

axis. The plane which intersects with axes X1 and X2 is the front side<br />

of the camera, or principal plane.<br />

1<br />

The image plane is where the 3D world is projected through the<br />

aperture of the camera. It is parallel to axes X1 and X2 and is located<br />

at distance f from the origin O in the negative direction of the optical<br />

axis. f is also referred to as the focal length of the pinhole camera.<br />

11<br />

x 2<br />

f<br />

X<br />

2<br />

x 3<br />

X<br />

P

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