PRaDA: Projective Radial Distortion Averaging

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Main Authors: Sinitsyn, Daniil, Härenstam-Nielsen, Linus, Cremers, Daniel
Format: Preprint
Published: 2025
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author Sinitsyn, Daniil
Härenstam-Nielsen, Linus
Cremers, Daniel
author_facet Sinitsyn, Daniil
Härenstam-Nielsen, Linus
Cremers, Daniel
contents We tackle the problem of automatic calibration of radially distorted cameras in challenging conditions. Accurately determining distortion parameters typically requires either 1) solving the full Structure from Motion (SfM) problem involving camera poses, 3D points, and the distortion parameters, which is only possible if many images with sufficient overlap are provided, or 2) relying heavily on learning-based methods that are comparatively less accurate. In this work, we demonstrate that distortion calibration can be decoupled from 3D reconstruction, maintaining the accuracy of SfM-based methods while avoiding many of the associated complexities. This is achieved by working in Projective Space, where the geometry is unique up to a homography, which encapsulates all camera parameters except for distortion. Our proposed method, Projective Radial Distortion Averaging, averages multiple distortion estimates in a fully projective framework without creating 3d points and full bundle adjustment. By relying on pairwise projective relations, our methods support any feature-matching approaches without constructing point tracks across multiple images.
format Preprint
id arxiv_https___arxiv_org_abs_2504_16499
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle PRaDA: Projective Radial Distortion Averaging
Sinitsyn, Daniil
Härenstam-Nielsen, Linus
Cremers, Daniel
Computer Vision and Pattern Recognition
We tackle the problem of automatic calibration of radially distorted cameras in challenging conditions. Accurately determining distortion parameters typically requires either 1) solving the full Structure from Motion (SfM) problem involving camera poses, 3D points, and the distortion parameters, which is only possible if many images with sufficient overlap are provided, or 2) relying heavily on learning-based methods that are comparatively less accurate. In this work, we demonstrate that distortion calibration can be decoupled from 3D reconstruction, maintaining the accuracy of SfM-based methods while avoiding many of the associated complexities. This is achieved by working in Projective Space, where the geometry is unique up to a homography, which encapsulates all camera parameters except for distortion. Our proposed method, Projective Radial Distortion Averaging, averages multiple distortion estimates in a fully projective framework without creating 3d points and full bundle adjustment. By relying on pairwise projective relations, our methods support any feature-matching approaches without constructing point tracks across multiple images.
title PRaDA: Projective Radial Distortion Averaging
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2504.16499