Proceedings ArticleDOI
Simultaneous linear estimation of multiple view geometry and lens distortion
Andrew Fitzgibbon
- Vol. 1, pp 125-132
TLDR
This paper shows how linear estimation of the fundamental matrix from two-view point correspondences may be augmented to include one term of radial lens distortion, by expressing fundamental matrix estimation as a quadratic eigenvalue problem (QEP), for which efficient algorithms are well known.Abstract:
A problem in uncalibrated stereo reconstruction is that cameras which deviate from the pinhole model have to be pre-calibrated in order to correct for nonlinear lens distortion. If they are not, and point correspondence is attempted using the uncorrected images, the matching constraints provided by the fundamental matrix must be set so loose that point matching is significantly hampered. This paper shows how linear estimation of the fundamental matrix from two-view point correspondences may be augmented to include one term of radial lens distortion. This is achieved by (1) changing from the standard radial-lens model to another which (as we show) has equivalent power, but which takes a simpler form in homogeneous coordinates, and (2) expressing fundamental matrix estimation as a quadratic eigenvalue problem (QEP), for which efficient algorithms are well known. I derive the new estimator, and compare its performance against bundle-adjusted calibration-grid data. The new estimator is fast enough to be included in a RANSAC-based matching loop, and we show cases of matching being rendered possible by its use. I show how the same lens can be calibrated in a natural scene where the lack of straight lines precludes most previous techniques. The modification when the multi-view relation is a planar homography or trifocal tensor is described.read more
Citations
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Proceedings ArticleDOI
Going deeper with convolutions
Christian Szegedy,Wei Liu,Yangqing Jia,Pierre Sermanet,Scott Reed,Dragomir Anguelov,Dumitru Erhan,Vincent Vanhoucke,Andrew Rabinovich +8 more
TL;DR: Inception as mentioned in this paper is a deep convolutional neural network architecture that achieves the new state of the art for classification and detection in the ImageNet Large-Scale Visual Recognition Challenge 2014 (ILSVRC14).
Proceedings ArticleDOI
Single View Point Omnidirectional Camera Calibration from Planar Grids
Christopher Mei,Patrick Rives +1 more
TL;DR: This paper presents a flexible approach for calibrating omnidirectional single viewpoint sensors from planar grids based on an exact theoretical projection function to which well identified parameters are added to model real-world errors.
Journal ArticleDOI
Computer vision applied to super resolution
D. Capel,Andrew Zisserman +1 more
TL;DR: The two key components that are necessary for successful SR restoration are described: the accurate alignment or registration of the LR images and the formulation of an SR estimator that uses a generative image model together with a prior model of the super-resolved image itself.
Proceedings ArticleDOI
Parameter-free radial distortion correction with centre of distortion estimation
Richard Hartley,Sing Bing Kang +1 more
TL;DR: This work proposes a method of simultaneously calibrating the radial distortion function of a camera and the other internal calibration parameters using a planar (or, alternatively, nonplanar) calibration grid which is captured in several images.
Journal ArticleDOI
Parameter-Free Radial Distortion Correction with Center of Distortion Estimation
Richard Hartley,Sing Bing Kang +1 more
TL;DR: This work proposes a method of simultaneously calibrating the radial distortion function of a camera and the other internal calibration parameters using a planar (or, alternatively, nonplanar) calibration grid which is captured in several images.
References
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Book
Multiple view geometry in computer vision
Richard Hartley,Andrew Zisserman +1 more
TL;DR: In this article, the authors provide comprehensive background material and explain how to apply the methods and implement the algorithms directly in a unified framework, including geometric principles and how to represent objects algebraically so they can be computed and applied.
Multiple View Geometry in Computer Vision.
TL;DR: This book is referred to read because it is an inspiring book to give you more chance to get experiences and also thoughts and it will show the best book collections and completed collections.
Book ChapterDOI
Bundle Adjustment - A Modern Synthesis
TL;DR: A survey of the theory and methods of photogrammetric bundle adjustment can be found in this article, with a focus on general robust cost functions rather than restricting attention to traditional nonlinear least squares.
Journal ArticleDOI
The Quadratic Eigenvalue Problem
TL;DR: This work surveys the quadratic eigenvalue problem, treating its many applications, its mathematical properties, and a variety of numerical solution techniques.