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Flexible Camera Calibration By Viewing a Plane From Unknown Orientations
Zhengyou Zhang
Microsoft Research, One Microsoft Way, Redmond, WA 98052-6399, USA
zhang@ /˜zhang
Abstract Therefore, if images are taken by the same camera with fixed
internal parameters, correspondences between three images
We propose a flexible new technique to easily calibrate are sufficient to recover both the internal and external pa-
a camera. It only requires the camera to observe a planar rameters which allow us to reconstruct 3-D structure up to
pattern shown at a few (at least two) different orientations. a similarity [14, 12]. While this approach is very flexible, it
Either the camera or the planar pattern can be freely moved. is not yet mature [1]. Because there are many parameters to
The motion need not be known. Radial lens distortion is estimate, we cannot always obtain reliable results.
modeled. The proposed procedure consists of a closed-form Other techniques exist: vanishing points for orthogonal
solution, followed by a nonlinear refinement based on the directions [3, 13], and calibration from pure rotation [10, 18].
maximum likelihood criterion. Both computer simulation Our current research is focused on a desktop vision sys-
and real data have been used to test the proposed technique, tem (DVS) since the potential for using DVSs is large. Cam-
and very good results have been obtained. Compared with eras are becoming cheap and ubiquitous. A DVS aims at the
classical techniques which use expensive equipment such as
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