Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Camera Calibration with Distortion Models and Accuracy Evaluation
IEEE Transactions on Pattern Analysis and Machine Intelligence
A fast level set method for propagating interfaces
Journal of Computational Physics
International Journal of Computer Vision - 1998 Marr Prize
Multiple view geometry in computer visiond
Multiple view geometry in computer visiond
Machine Vision and Applications
A Mathematical Introduction to Robotic Manipulation
A Mathematical Introduction to Robotic Manipulation
International Journal of Computer Vision
Camera Self-Calibration: Theory and Experiments
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Lens distortion calibration using point correspondences
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
True Multi-Image Alignment and its Application to Mosaicing and Lens Distortion Correction
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
A Four-step Camera Calibration Procedure with Implicit Image Correction
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Fast and Accurate Self-Calibration
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
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
A convenient multicamera self-calibration for virtual environments
Presence: Teleoperators and Virtual Environments
Methods and geometry for plane-based self-calibration
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Structure from motion for scenes without features
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
New color correction method of multi-view images for view rendering in free-viewpoint television
WSEAS Transactions on Computers
Collaborative color calibration for multi-camera systems
Image Communication
SIAM Journal on Imaging Sciences
A robust algorithm for color correction between two stereo images
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part II
A Super-Resolution Framework for High-Accuracy Multiview Reconstruction
International Journal of Computer Vision
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This paper addresses the problem of calibrating camera parameters using variational methods. One problem addressed is the severe lens distortion in low-cost cameras. For many computer vision algorithms aiming at reconstructing reliable representations of 3D scenes, the camera distortion effects will lead to inaccurate 3D reconstructions and geometrical measurements if not accounted for. A second problem is the color calibration problem caused by variations in camera responses that result in different color measurements and affects the algorithms that depend on these measurements. We also address the extrinsic camera calibration that estimates relative poses and orientations of multiple cameras in the system and the intrinsic camera calibration that estimates focal lengths and the skew parameters of the cameras. To address these calibration problems, we present multiview stereo techniques based on variational methods that utilize partial and ordinary differential equations. Our approach can also be considered as a coordinated refinement of camera calibration parameters. To reduce computational complexity of such algorithms, we utilize prior knowledge on the calibration object, making a piecewise smooth surface assumption, and evolve the pose, orientation, and scale parameters of such a 3D model object without requiring a 2D feature extraction from camera views. We derive the evolution equations for the distortion coefficients, the color calibration parameters, the extrinsic and intrinsic parameters of the cameras, and present experimental results.