Structure from Motion with Wide Circular Field of View Cameras
IEEE Transactions on Pattern Analysis and Machine Intelligence
Parameter-Free Radial Distortion Correction with Center of Distortion Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image alignment and stitching: a tutorial
Foundations and Trends® in Computer Graphics and Vision
Lens distortion correction using a checkerboard pattern
VRCAI '08 Proceedings of The 7th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and Its Applications in Industry
ICIRA '08 Proceedings of the First International Conference on Intelligent Robotics and Applications: Part II
Reconstruction from Projections Using Grassmann Tensors
International Journal of Computer Vision
A Simple Method of Radial Distortion Correction with Centre of Distortion Estimation
Journal of Mathematical Imaging and Vision
A VLSI implementation of barrel distortion correction for wide-angle camera images
IEEE Transactions on Circuits and Systems II: Express Briefs
Omnidirectional visual control of mobile robots based on the 1D trifocal tensor
Robotics and Autonomous Systems
Camera Models and Fundamental Concepts Used in Geometric Computer Vision
Foundations and Trends® in Computer Graphics and Vision
Overconstrained linear estimation of radial distortion and multi-view geometry
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Self-calibration of a general radially symmetric distortion model
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part IV
Plane-Based calibration and auto-calibration of a fish-eye camera
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part I
International Journal of Computer Vision
Self-calibration of hybrid central catadioptric and perspective cameras
Computer Vision and Image Understanding
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We present a technique to linearly estimate the radial distortion of a wide-angle lens given three views of a real-world plane. The approach can also be used with pure rotation as in this case all points appear as lying on a plane. The three views can even be recorded using three different cameras as long as the deviation from the pin-hole model for each camera is distortion along radial lines. We introduce the 1D radial camera which projects scene points onto radial lines and the radial trifocal tensor which encodes the multi-view relations between radial lines. Given at least seven triplets of corresponding points the radial tri-focal tensor can be computed linearly. This allows recovery of the radial cameras and the projective reconstruction of the plane up to a two-fold ambiguity. This 2D reconstruction is unaffected by radial distortion and can be used in different ways to compute the radial distortion parameters. We propose to use the division model as in this case we obtain a linear algorithm that computes the radial distortion coefficients and the 3 remaining degrees of freedom of the homography relating the reconstructed 2D plane to the undistorted image. Each feature point that has at least one corresponding point yields one linear constraint on those unknowns. Our method is validated on real-world images. We successfully calibrate several wide-angle cameras.