Abstract
Lens distortion causes difficulties for 3D reconstruction, when uncalibrated image sets with weak geometry are used. We show that the largest part of lens distortion, known as the radial distortion, can be estimated along with the center of distortion from the epipolar constraint separately and before bundle adjustment without any calibration rig. The estimate converges as more image pairs are added. Descriptor matched scale-invariant feature (SIFT) point pairs that contain false matches can readily be given to our algorithm, EPOS (EpiPOlar-based Solver), as input. The processing is automated to the point where EPOS solves the distortion whether its type is barrel or pincushion or reports if there is no need for correction.
Highlights
The bottleneck in turning every consumer-grade digital camera into a 3D scanner is in how to automatically self-calibrate the lens distortion from arbitrary image pairs
We show that the largest part of lens distortion, known as the radial distortion, can be estimated along with the center of distortion from the epipolar constraint separately and before bundle adjustment without any calibration rig
We have presented a solution for correcting lens distortion from uncalibrated images using the epipolar constraint without any calibration rig
Summary
The bottleneck in turning every consumer-grade digital camera into a 3D scanner is in how to automatically self-calibrate the lens distortion from arbitrary image pairs. The lens distortion is solved in a camera calibration together with other interior orientation parameters that are the focal length and the principal point, or the center of distortion. If one is first interested in only solving the lens distortion, the structure consisting of 3D points brings unwanted free parameters This is especially problematic when attempting to reconstruct a large area with an uncalibrated camera, for example, in the built environment. As this method depends on r-symmetry, it requires a good estimate for the center of distortion.
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