The non-existence of general-case view-invariants
Geometric invariance in computer vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
3D object recognition using invariance
Artificial Intelligence - Special volume on computer vision
Canonical representations for the geometries of multiple projective views
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
The Quadric Reference Surface: Theory and Applications
International Journal of Computer Vision
Invariants of Families of Coplanar Conics and Their Applicationsto Object Recognition
Journal of Mathematical Imaging and Vision
In Defense of the Eight-Point Algorithm
IEEE Transactions on Pattern Analysis and Machine Intelligence
A comparison of projective reconstruction methods for pairs of views
Computer Vision and Image Understanding
Computer Vision and Image Understanding
Projective Structure from Uncalibrated Images: Structure From Motion and Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
What can be seen in three dimensions with an uncalibrated stereo rig
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Repeated Structures: Image Correspondence Constraints and 3D Structure Recovery
Proceedings of the Second Joint European - US Workshop on Applications of Invariance in Computer Vision
Characterizing the Stability of 3D Invariants Derived from 3D Translational Symmetry
ACCV '95 Invited Session Papers from the Second Asian Conference on Computer Vision: Recent Developments in Computer Vision
Quadric Reconstruction from Dual-Space Geometry
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Reconstruction-Based Recognition of Scenes with Translationally Repeated Quadrics
IEEE Transactions on Pattern Analysis and Machine Intelligence
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In this paper we propose a reconstruction based recognition scheme for objects with repeated components, using a single image of such a configuration, in which one of the repeated components may be partially occluded. In our strategy we reconstruct each of the components with respect to the same frame and use these to compute invariants.We propose a new mathematical framework for the projective reconstruction of affinely repeated objects. This uses the repetition explicitly and hence is able to handle substantial occlusion of one of the components. We then apply this framework to the reconstruction of a pair of repeated quadrics. The image information required for the reconstruction are the outline conic of one of the quadrics and correspondence between any four points which are images of points in general position on the quadric and its repetition. Projective invariants computed using the reconstructed quadrics have been used for recognition. The recognition strategy has been applied to images of monuments with multi-dome architecture. Experiments have established the discriminatory ability of the invariants.