A theory of self-calibration of a moving camera
International Journal of Computer Vision
Affine invariants for model-based recognition
Geometric invariance in computer vision
Geometric invariants and object recognition
International Journal of Computer Vision
Algorithms in invariant theory
Algorithms in invariant theory
Robust recovery of the epipolar geometry for an uncalibrated stereo rig
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Local Invariants For Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Object recognition through invariant indexing
Object recognition through invariant indexing
Recognition of planar shapes under affine distortion
International Journal of Computer Vision
Relative 3D reconstruction using multiple uncalibrated images
International Journal of Robotics Research
3D object recognition using invariance
Artificial Intelligence - Special volume on computer vision
Projectively invariant decomposition and recognition of planar shapes
International Journal of Computer Vision - Special issue: machine vision research at the Royal Institute of Technology
The first order expansion of motion equations in the uncalibrated case
Computer Vision and Image Understanding
Relative Affine Structure: Canonical Model for 3D From 2D Geometry and Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Deformation invariants in object recognition
Computer Vision and Image Understanding
In Defense of the Eight-Point Algorithm
IEEE Transactions on Pattern Analysis and Machine Intelligence
Noise-Resistant Invariants of Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
3D Model Acquisition from Extended Image Sequences
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
3-D to 2-D Recognition with Regions
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Affine Invariant Detection: Edges, Active Contours, and Segments
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Structure and motion of curved 3D objects from monocular silhouettes
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Epipole and fundamental matrix estimation using virtual parallax
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Iconic Recognition with Affine-Invariant Spectral Signatures
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
3-D Curve Reconstruction from Uncalibrated Cameras
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
Affine Differential Signatures for Gray Level Images of Planar Shapes
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
Model-Based Recognition of 3D Objects from Single Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognizing Articulated Objects Using a Region-Based Invariant Transform
IEEE Transactions on Pattern Analysis and Machine Intelligence
Positioning a point target in an aerial image
Digital Signal Processing
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It is well known that there are no geometric invariants of aprojection from 3D to 2D. However, given some modeling assumptionsabout the 3D object, such invariants can be found. The modelingassumptions should be sufficiently strong to enable us to find suchinvariants, but not stronger than necessary. In this paper we findsuch modeling assumptions for general 3D curves under affineprojection. We show, for example, that if one of the two affinecurvatures is known along the 3D curve, the other can be found from thecurve‘s 2D image. We can also derive the point correspondence betweenthe curve and its image. We also deal with point sets and directionvectors.