Computer graphics: principles and practice (2nd ed.)
Computer graphics: principles and practice (2nd ed.)
Curve matching and stereo calibration
Image and Vision Computing
Shape and motion from image streams under orthography: a factorization method
International Journal of Computer Vision
Active vision
A theory of the motion fields of curves
International Journal of Computer Vision
Sufficient image structure for 3-D motion and shape estimation
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
A Paraperspective Factorization Method for Shape and Motion Recovery
IEEE Transactions on Pattern Analysis and Machine Intelligence
Motion Estimation in Image Sequences Using the Deformation of Apparent Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalised Epipolar Constraints
International Journal of Computer Vision
Journal of Mathematical Imaging and Vision
Computing Structure and Motion of General 3D Curves from Monocular Sequences of Perspective Images
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
Recursive Structure and Motion from Image Sequences using Shape and Depth Spaces
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
Projective reconstruction from curve correspondences in uncalibrated views
Projective reconstruction from curve correspondences in uncalibrated views
Simultaneous and Sequential Reconstruction of Visual Primitives with Bundle Adjustment
Journal of Mathematical Imaging and Vision
Projective reconstruction of ellipses from multiple images
Pattern Recognition
A subspace approach for matching 2D shapes under affine distortions
Pattern Recognition
Projective reconstruction of general 3D planar curves from uncalibrated cameras
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part II
Geometrical computer vision from chasles to today
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
High-Order differential geometry of curves for multiview reconstruction and matching
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
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In this paper, we extend the notion of affine shape, introduced by Sparr, from finite point sets to curves. The extension makes it possible to reconstruct 3D-curves up to projective transformations, from a number of their 2D-projections. We also extend the bundle adjustment technique from point features to curves.The first step of the curve reconstruction algorithm is based on affine shape. It is independent of choice of coordinates, is robust, does not rely on any preselected parameters and works for an arbitrary number of images. In particular this means that, except for a small set of curves (e.g. a moving line), a solution is given to the aperture problem of finding point correspondences between curves. The second step takes advantage of any knowledge of measurement errors in the images. This is possible by extending the bundle adjustment technique to curves.Finally, experiments are performed on both synthetic and real data to show the performance and applicability of the algorithm.