Stereo by Incremental Matching of Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
A multi-frame approach to visual motion perception
International Journal of Computer Vision
Qualitative surface shape from deformation of image curves
International Journal of Computer Vision
Qualitative surface shape from deformation of image curves
International Journal of Computer Vision
Three-dimensional computer vision: a geometric viewpoint
Three-dimensional computer vision: a geometric viewpoint
Trilinearity in visual recognition by alignment
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Conic Reconstruction and Correspondence From Two Views
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric shock-capturing eno schemes for subpixel interpolation, computation and curve evolution
Graphical Models and Image Processing
Visual motion of curves and surfaces
Visual motion of curves and surfaces
The Geometry and Matching of Lines and Curves Over Multiple Views
International Journal of Computer Vision
Reconstruction of General Curves, Using Factorization and Bundle Adjustment
International Journal of Computer Vision
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
Contour-Based Correspondence for Stereo
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
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
Euler Spiral for Shape Completion
International Journal of Computer Vision - Special Issue on Computational Vision at Brown University
A linear method for reconstruction from lines and points
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Ellipsoid Reconstruction from Three Perspective Views
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
Multiview Reconstruction of Space Curves
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Multiple View Geometry of General Algebraic Curves
International Journal of Computer Vision
Stereo by Intra- and Inter-Scanline Search Using Dynamic Programming
IEEE Transactions on Pattern Analysis and Machine Intelligence
Projective Splines and Estimators for Planar Curves
Journal of Mathematical Imaging and Vision
Planar shape representation and matching under projective transformation
Computer Vision and Image Understanding
Camera pose estimation using first-order curve differential geometry
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part IV
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The relationship between the orientation and curvature of projected curves and the orientation and curvature of the underlying space curve has been previously established. This has allowed a disambiguation of correspondences in two views and a transfer of these properties to a third view for confirmation. We propose that a higher-order intrinsic differential geometry attribute, namely, curvature derivative, is necessary to account for the range of variation of space curves and their projections. We derive relationships between curvature derivative in a projected view, and curvature derivative and torsion of the underlying space curve. Regardless of the point, tangent, and curvature, any pair of curvature derivatives are possible correspondences, but most would lead to very high torsion and curvature derivatives. We propose that the minimization of third order derivatives of the reconstruction, which combines torsion and curvature derivative of the space curve, regularizes the process of finding the correct correspondences.