Congruence, similarity and symmetries of geometric objects
Discrete & Computational Geometry - ACM Symposium on Computational Geometry, Waterloo
Evidence-Based Recognition of 3-D Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Object recognition by computer: the role of geometric constraints
Object recognition by computer: the role of geometric constraints
3-D Object Recognition Using Bipartite Matching Embedded in Discrete Relaxation
IEEE Transactions on Pattern Analysis and Machine Intelligence
CAD-Based Computer Vision: From CAD Models to Relational Graphs
IEEE Transactions on Pattern Analysis and Machine Intelligence
A robot vision system for recognition of generic shaped objects
CVGIP: Image Understanding
BONSAI: 3D Object Recognition Using Constrained Search
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part I
A simple and efficient algorithm for determining the symmetries of polyhedra
CVGIP: Graphical Models and Image Processing
3d object recognition using invariant feature indexing of interpretation tables
CVGIP: Image Understanding - Special issue on directions in CAD-based vision
Journal of the ACM (JACM)
3D Object recognition in cluttered environments by segment-based stereo vision
International Journal of Computer Vision
Amodal volume completion: 3D visual completion
Computer Vision and Image Understanding
Amodal volume completion: 3D visual completion
Computer Vision and Image Understanding
Detecting design intent in approximate CAD models using symmetry
Computer-Aided Design
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Object recognition systems which employ solid models and range data have been a topic of interest for several years. Model databases have the potential to become large in some environments. This paper proposes a pair of techniques for incorporating knowledge of the symmetries of object models into the recognition process. The effects of symmetric models on the speed of an object recognition system is examined in the context of an implemented system employing invariant feature indexing as a correspondence-building mechanism. Groups of model surfaces are enumerated and examined to yield a list of segment label permutations which summarize the model's symmetry. This symmetry extraction process is followed by a symmetry encoding procedure which replaces groups of features which are indistinguishable because of symmetry with a single prototype feature group. Experiments with a large model database demonstrate the utility of these symmetry extraction and encoding techniques.