Invariant Descriptors for 3D Object Recognition and Pose
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part I
Invariants of a pair of conics revisited
Image and Vision Computing - Special issue: BMVC 1991
The non-existence of general-case view-invariants
Geometric invariance in computer vision
Three-dimensional computer vision: a geometric viewpoint
Three-dimensional computer vision: a geometric viewpoint
Algebraic and geometric invariant of a pair of non-coplanar conics in space
Journal of Mathematical Imaging and 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
A comparison of projective reconstruction methods for pairs of views
Computer Vision and Image Understanding
Computer Vision and Image Understanding
A Framework for Reconstruction based Recognition of Partially Occluded Repeated Objects
Journal of Mathematical Imaging and Vision
Projective Structure from Uncalibrated Images: Structure From Motion and Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Distributed and Reactive Query Planning in R-MAGIC: An Agent-Based Multimedia Retrieval System
IEEE Transactions on Knowledge and Data Engineering
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This paper addresses the problem of invariant-based recognition of quadric configurations from a single image. These configurations consist of a pair of rigidly connected translationally repeated quadric surfaces. This problem is approached via a reconstruction framework. A new mathematical framework, using relative affine structure, on the lines of Luong and Vieville [12], has been proposed. Using this mathematical framework, translationally repeated objects have been projectively reconstructed, from a single image, with four image point correspondences of the distinguished points on the object and its translate. This has been used to obtain a reconstruction of a pair of translationally repeated quadrics. We have proposed joint projective invariants of a pair of proper quadrics. For the purpose of recognition of quadric configurations, we compute these invariants for the pair of reconstructed quadrics. Experimental results on synthetic and real images, establish the discriminatory power and stability of the proposed invariant-based recognition strategy. As a specific example, we have applied this technique for discriminating images of monuments which are characterized by translationally repeated domes modeled as quadrics.