Autocalibration with the Minimum Number of Cameras with Known Pixel Shape

Computer Science – Computer Vision and Pattern Recognition

Scientific paper

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Scientific paper

We address the problem of the Euclidean upgrading of a projective calibration of a minimal set of cameras with known pixel shape and otherwise arbitrarily varying intrinsic and extrinsic parameters. To this purpose, we introduce as our basic geometric tool the six-line conic variety (SLCV), consisting in the set of planes intersecting six given lines of 3D space in points of a conic. We show that the set of solutions of the Euclidean upgrading problem for three cameras with known pixel shape can be parameterized in a computationally efficient way. As a consequence, we propose an algorithm that performs a Euclidean upgrading with 5 (theoretical minimum) or more cameras with the knowledge of the pixel shape as the only constraint. We provide experiments with real images showing the good performance of the technique.

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