Computing the antipenumbra of an area light source
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Statistical Bias of Conic Fitting and Renormalization
IEEE Transactions on Pattern Analysis and Machine Intelligence
On the geometry and algebra of the point and line correspondences between N images
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Estimation with Bilinear Constraints in Computer Vision
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
International Journal of Computer Vision - Marr Prize Special Issue
International Journal of Computer Vision
General Trajectory Triangulation
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Multiple Motion Scene Reconstruction with Uncalibrated Cameras
IEEE Transactions on Pattern Analysis and Machine Intelligence
Reconstruction of a Scene with Multiple Linearly Moving Objects
International Journal of Computer Vision
A General Framework for Trajectory Triangulation
Journal of Mathematical Imaging and Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Reconstructing 3D trajectories of independently moving objects using generic constraints
Computer Vision and Image Understanding - Model-based and image-based 3D scene representation for interactive visalization
Computer Vision and Image Understanding
Two-View Multibody Structure-and-Motion with Outliers through Model Selection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Two-View Multibody Structure from Motion
International Journal of Computer Vision
A Unified Algebraic Approach to 2-D and 3-D Motion Segmentation and Estimation
Journal of Mathematical Imaging and Vision
Moving Object Segmentation Using Optical Flow and Depth Information
PSIVT '09 Proceedings of the 3rd Pacific Rim Symposium on Advances in Image and Video Technology
Computer Vision and Image Understanding
Online 3-D trajectory estimation of a flying object from a monocular image sequence
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
Towards scene understanding using a co-operative of robots
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
CIRA'09 Proceedings of the 8th IEEE international conference on Computational intelligence in robotics and automation
ROBIO'09 Proceedings of the 2009 international conference on Robotics and biomimetics
Calibrating an air-ground control system from motion correspondences
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Video-object segmentation and 3D-trajectory estimation for monocular video sequences
Image and Vision Computing
3D reconstruction of a moving point from a series of 2D projections
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Line Localization from Single Catadioptric Images
International Journal of Computer Vision
Space-time-scale registration of dynamic scene reconstructions
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part IV
View synthesis of scenes with multiple independently translating objects from uncalibrated views
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part I
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part VI
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We consider the problem of reconstructing the 3D coordinates of a moving point seen from a monocular moving camera, i.e., to reconstruct moving objects from line-of-sight measurements only. The task is feasible only when some constraints are placed on the shape of the trajectory of the moving point. We coin the family of such tasks as 驴trajectory triangulation.驴 We investigate the solutions for points moving along a straight-line and along conic-section trajectories. We show that if the point is moving along a straight line, then the parameters of the line (and, hence, the 3D position of the point at each time instant) can be uniquely recovered, and by linear methods, from at least five views. For the case of conic-shaped trajectory, we show that generally nine views are sufficient for a unique reconstruction of the moving point and fewer views when the conic is of a known type (like a circle in 3D Euclidean space for which seven views are sufficient). The paradigm of trajectory triangulation, in general, pushes the envelope of processing dynamic scenes forward. Thus static scenes become a particular case of a more general task of reconstructing scenes rich with moving objects (where an object could be a single point).