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Minimal Solvers for Rectifying from Radially-Distorted Conjugate Translations [article]

James Pritts, Zuzana Kukelova, Viktor Larsson, Yaroslava Lochman, Ondřej Chum
2020 arXiv   pre-print
This paper introduces minimal solvers that jointly solve for affine-rectification and radial lens undistortion from the image of translated and reflected coplanar features.  ...  The proposed solvers use the invariant that the affine-rectified image of the meet of the joins of radially-distorted conjugately-translated point correspondences is on the line at infinity.  ...  222 lλ solver for images with radially-distorted conjugate translations.  ... 
arXiv:1911.01507v3 fatcat:qjyosq2lmze2fcloxi4j2criqm

Radially-Distorted Conjugate Translations [article]

James Pritts, Zuzana Kukelova, Viktor Larsson, Ondrej Chum
2018 arXiv   pre-print
This paper introduces the first minimal solvers that jointly solve for affine-rectification and radial lens distortion from coplanar repeated patterns.  ...  The solvers are derived from constraints induced by the conjugate translations of an imaged scene plane, which are integrated with the division model for radial lens distortion.  ...  In this paper we propose four different minimal solvers for different variants of the problem of radially-distorted conjugate translations based on different translation directions and relative scales  ... 
arXiv:1711.11339v3 fatcat:qtluepzluvhd3gbfyhnbr3cmgu

Radially-Distorted Conjugate Translations

James Pritts, Zuzana Kukelova, Viktor Larsson, Ondrej Chum
2018 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition  
This paper introduces the first minimal solvers that jointly solve for affine-rectification and radial lens distortion from coplanar repeated patterns.  ...  The solvers are derived from constraints induced by the conjugate translations of an imaged scene plane, which are integrated with the division model for radial lens distortion.  ...  In this paper we propose four different minimal solvers for different variants of the problem of radially-distorted conjugate translations based on different translation directions and relative scaless  ... 
doi:10.1109/cvpr.2018.00213 dblp:conf/cvpr/PrittsKLC18 fatcat:khbt5mqydvce3mbgpqyxfcrcra

Rectification from Radially-Distorted Scales [article]

James Pritts, Zuzana Kukelova, Viktor Larsson, Ondrej Chum
2018 arXiv   pre-print
This paper introduces the first minimal solvers that jointly estimate lens distortion and affine rectification from repetitions of rigidly transformed coplanar local features.  ...  Synthetic and real-image experiments confirm that the solvers give accurate rectifications from noisy measurements when used in a RANSAC-based estimator.  ...  Included are two state-of-the-art single-view solvers for radially-distorted conjugate translations, denoted H 2 lusλ and H 22 luvsλ [15] ; a full-homography and radial distortion solver, denoted H 22  ... 
arXiv:1807.06110v4 fatcat:kbt6rsqasbfxtlxtnmli4hfm6a

Minimal Solvers for Rectifying from Radially-Distorted Scales and Change of Scales [article]

James Pritts, Zuzana Kukelova, Viktor Larsson, Yaroslava Lochman, Ondřej Chum
2019 arXiv   pre-print
This paper introduces the first minimal solvers that jointly estimate lens distortion and affine rectification from the image of rigidly-transformed coplanar features.  ...  We demonstrate a principled approach for generating stable minimal solvers by the Gr\"obner basis method, which is accomplished by sampling feasible monomial bases to maximize numerical stability.  ...  Acknowledgements James Pritts acknowledges the European Regional Development Fund under the project Robotics for  ... 
arXiv:1907.11539v1 fatcat:a6hmcgzfxjhf5nqmwjimzb7ide

Minimal Solvers for Single-View Lens-Distorted Camera Auto-Calibration [article]

Yaroslava Lochman, Oles Dobosevych, Rostyslav Hryniv, James Pritts
2020 arXiv   pre-print
This paper proposes minimal solvers that use combinations of imaged translational symmetries and parallel scene lines to jointly estimate lens undistortion with either affine rectification or focal length  ...  State-of-the-art performance is demonstrated on a standard dataset of lens-distorted urban images. The code is available at https://github.com/ylochman/single-view-autocalib.  ...  Minimal Solvers for Single-View Lens-Distorted Camera Auto-Calibration Supplemental Material A.  ... 
arXiv:2011.08988v1 fatcat:xyx4iqqpqfazzb56aulzs74mmq

Bundle Adjustment Revisited [article]

Yu Chen and Yisong Chen and Guoping Wang
2019 arXiv   pre-print
3D reconstruction has been developing all these two decades, from moderate to medium size and to large scale.  ...  It's well known that bundle adjustment plays an important role in 3D reconstruction, mainly in Structure from Motion(SfM) and Simultaneously Localization and Mapping(SLAM).  ...  Radial distortion is usually divided into barrel distortion and pillow distortion.  ... 
arXiv:1912.03858v1 fatcat:47s6jhjhjvgkppxa7d2jmmv6we

Impact of Soft Tissue Heterogeneity on Augmented Reality for Liver Surgery

Nazim Haouchine, Stephane Cotin, Igor Peterlik, Jeremie Dequidt, Mario Sanz Lopez, Erwan Kerrien, Marie-Odile Berger
2015 IEEE Transactions on Visualization and Computer Graphics  
Vessels and tumors computed from pre-operative CT scans can be overlaid onto the laparoscopic view for surgery guidance.  ...  This paper presents a method for real-time augmented reality of internal liver structures during minimally invasive hepatic surgery.  ...  The camera lens generate radial distortion and have relative small baselines (about 6 mm). The camera is calibrated offline and the image distortions are rectified following Zhang [33] .  ... 
doi:10.1109/tvcg.2014.2377772 pmid:26357206 fatcat:k2ptejcibreopio3lnbsqrfq2e

Modification of calibration and image processing procedures for precise 3-D measurements in arbitrary spectral bands by means of a stereoscopic prism-based imager

Alexander S. Machikhin, Alexey V. Gorevoy, Demid D. Khokhlov, Arseny O. Kuznetsov
2019 Optical Engineering: The Journal of SPIE  
The most common approach for their implementation is the utilization of prism-based optical systems, which allows simultaneous acquisition of two images from different viewpoints on a single sensor.  ...  If WB calibration data are applied to NB images, the measurement bias increases from the middle of the working spectral range to its edges and can reach significant values: up to 0.1 mm along x axis and  ...  In the part of rectification algorithms analysis, the research is supported by Russian Fund for Basic Research (project # 17-29-03469).  ... 
doi:10.1117/1.oe.58.3.033104 fatcat:wkreonvrurcnvcl6hc67vtgige

BETHE‐Hydro: An Arbitrary Lagrangian‐Eulerian Multidimensional Hydrodynamics Code for Astrophysical Simulations

Jeremiah W. Murphy, Adam Burrows
2008 Astrophysical Journal Supplement Series  
and an iterative multigrid-preconditioned conjugate-gradient method for 2D simulations.  ...  We present 1D and 2D gravity solvers that are finite differenced using the support-operator technique, and the resulting system of linear equations are solved using the tridiagonal method for 1D simulations  ...  Finally, we have developed a gravity solver for arbitrary grids that uses a support-operator technique for elliptic equations (Morel et al. 1998 ) and an iterative multigrid-preconditioned conjugate-gradient  ... 
doi:10.1086/591272 fatcat:qfbcfxzvgvhk7lnb5ozu4bpmui

Global-Local Airborne Mapping (GLAM): Reconstructing a City from Aerial Videos [article]

Hasnain Vohra, Maxim Bazik, Matthew Antone, Joseph Mundy, William Stephenson
2018 arXiv   pre-print
Scale drift is minimized through the use of 7-degree-of-freedom similarity transformations during submap alignment.  ...  Monocular visual SLAM has become an attractive practical approach for robot localization and 3D environment mapping, since cameras are small, lightweight, inexpensive, and produce high-rate, high-resolution  ...  This document is approved for public release via 88ABW-2017-2724.  ... 
arXiv:1706.01580v2 fatcat:tbfxz25ytnhwzgtpgerk6a3mt4

MICRO-GENERATOR DESIGN FOR SMART GRID SYSTEM (COMPARATIVE STUDY)

Adel El Shahat, Ali Keyhani, Hamed El Shewy
2010 International Journal on Smart Sensing and Intelligent Systems  
Then a genetic algorithm is formulated for obtaining maximum efficiency and minimizing machine size.  ...  These six design trials of High Speed Permanent Magnet Synchronous Generators (HSPMSGs) are: Classical Sizing; Unconstrained optimization for total losses and its minimization; Constrained optimized total  ...  The radial air gap is made as small as possible to maximize the air gap flux density, minimize the flux leakage, and to produce a lower reluctance value.  ... 
doi:10.21307/ijssis-2017-388 fatcat:5fusla443zdyvmrmnrdcnt4pba

Efficient Non-Consecutive Feature Tracking for Robust Structure-From-Motion

Guofeng Zhang, Haomin Liu, Zilong Dong, Jiaya Jia, Tien-Tsin Wong, Hujun Bao
2016 IEEE Transactions on Image Processing  
Structure-from-motion (SfM) largely relies on feature tracking.  ...  In addition, we contribute an effective segment-based coarse-to-fine SfM algorithm for robustly handling large datasets.  ...  ACKNOWLEDGEMENTS The authors thank Changchang Wu for his kind help in running VisualSFM in our datasets.  ... 
doi:10.1109/tip.2016.2607425 pmid:27623586 fatcat:salfqndczrbs3dooun2oxus5ii

Resultant Based Incremental Recovery of Camera Pose from Pairwise Matches [article]

Yoni Kasten, Meirav Galun, Ronen Basri
2019 arXiv   pre-print
Our algorithm uses just six corresponding pairs of 2D points, extracted each from I_n and from any of the preceding n-1 images, allowing the recovery of the full six degrees of freedom of the n'th camera  ...  Incremental (online) structure from motion pipelines seek to recover the camera matrix associated with an image I_n given n-1 images, I_1,...,I_n-1, whose camera matrices have already been recovered.  ...  Acknowledgment Supported by the Minerva foundation with funding from the Federal German Ministry for Education and Research.  ... 
arXiv:1901.09364v1 fatcat:rdj3os264bgmtcrkpv5cgomyxq

2021 Index IEEE Transactions on Pattern Analysis and Machine Intelligence Vol. 43

2022 IEEE Transactions on Pattern Analysis and Machine Intelligence  
The Author Index contains the primary entry for each item, listed under the first author's name.  ...  -that appeared in this periodical during 2021, and items from previous years that were commented upon or corrected in 2021.  ...  Yang, Z., +, TPAMI Nov. 2021 4094-4110 Distortion Minimal Solvers for Rectifying From Radially-Distorted Conjugate Transla-tions.  ... 
doi:10.1109/tpami.2021.3126216 fatcat:h6bdbf2tdngefjgj76cudpoyia
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