Fast Algorithms for Low-Level Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Three-dimensional computer vision: a geometric viewpoint
Three-dimensional computer vision: a geometric viewpoint
Nonmetric Calibration of Wide-Angle Lenses and Polycameras
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Flexible New Technique for Camera Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Machine Vision and Applications
Polynomial Algorithms in Computer Algebra
Polynomial Algorithms in Computer Algebra
The Geometry of Multiple Images: The Laws That Govern The Formation of Images of A Scene and Some of Their Applications
Multiple View Geometry in Computer Vision
Multiple View Geometry in Computer Vision
Nonmetric Lens Distortion Calibration: Closed-form Solutions, Robust Estimation and Model Selection
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities
The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics)
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)
Rational Algebraic Curves: A Computer Algebra Approach
Rational Algebraic Curves: A Computer Algebra Approach
Accurate Depth Dependent Lens Distortion Models: An Application to Planar View Scenarios
Journal of Mathematical Imaging and Vision
Camera Models and Fundamental Concepts Used in Geometric Computer Vision
Foundations and Trends® in Computer Graphics and Vision
Robust radial distortion from a single image
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part II
Automatic Radial Distortion Estimation from a Single Image
Journal of Mathematical Imaging and Vision
A unified framework for line extraction in dioptric and catadioptric cameras
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part IV
Camera calibration in sport event scenarios
Pattern Recognition
Computer Methods and Programs in Biomedicine
Pattern Recognition Letters
Rational Hausdorff divisors: A new approach to the approximate parametrization of curves
Journal of Computational and Applied Mathematics
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A very important property of the usual pinhole model for camera projection is that 3D lines in the scene are projected in 2D lines. Unfortunately, wide-angle lenses (specially low-cost lenses) may introduce a strong barrel distortion which makes the usual pinhole model fail. Lens distortion models try to correct such distortion. In this paper, we propose an algebraic approach to the estimation of the lens distortion parameters based on the rectification of lines in the image. Using the proposed method, the lens distortion parameters are obtained by minimizing a 4 total-degree polynomial in several variables. We perform numerical experiments using calibration patterns and real scenes to show the performance of the proposed method.