Machine Vision Algorithms and Applications by Carsten Steger Markus Ulrich Christian Wiedemann & Markus Ulrich & Christian Wiedemann

Author:Carsten Steger,Markus Ulrich,Christian Wiedemann & Markus Ulrich & Christian Wiedemann [Неизв.]
Language: eng
Format: epub
ISBN: 9783527812899
Publisher: John Wiley & Sons, Inc.
Published: 2017-10-24T00:00:00+00:00

Figure 3.105 The projection of a point from the untilted image plane to a point in the tilted image plane for a camera that is perspective in image space.

Note that in this equation, refers to the homogeneous coordinate of . As described in Section 3.3.1.1, we must divide and by to obtain the coordinates of the perspectively transformed point.

As above, we insert this tilt transformation into the camera model between the distortion in Eqs. (3.143)–(3.145) and the transformation to the image coordinate system in Eq. (3.147), i.e., we use in Eq. (3.147) instead of .

We conclude this section by noting that f and d are related to the pupil magnification factor in Eqs. (2.7) and (2.8) by (see Steger, 2017):

(3.152)

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