Scale and the differential structure of images
Image and Vision Computing - Special issue: information processing in medical imaging 1991
The Topological Structure of Scale-Space Images
Journal of Mathematical Imaging and Vision
Evaluation of Interest Point Detectors
International Journal of Computer Vision - Special issue on a special section on visual surveillance
Scale & Affine Invariant Interest Point Detectors
International Journal of Computer Vision
Distinctive Image Features from Scale-Invariant Keypoints
International Journal of Computer Vision
A Performance Evaluation of Local Descriptors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Stability of top-points in scale space
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Discrete representation of top points via scale space tessellation
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Interest point detection using imbalance oriented selection
Pattern Recognition
Analysis of Two-Dimensional Non-Rigid Shapes
International Journal of Computer Vision
Partial Similarity of Objects, or How to Compare a Centaur to a Horse
International Journal of Computer Vision
Transitions of a Multi-scale Image Hierarchy Tree
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Interest points of general imbalance
IEEE Transactions on Image Processing
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We consider the use of so-called top-points for object retrieval. These points are based on scale-space and catastrophe theory, and are invariant under gray value scaling and offset as well as scale-Euclidean transformations. The differential properties and noise characteristics of these points are mathematically well understood. It is possible to retrieve the exact location of a top-point from any coarse estimation through a closed-form vector equation which only depends on local derivatives in the estimated point. All these properties make top-points highly suitable as anchor points for invariant matching schemes. In a set of examples we show the excellent performance of top-points in an object retrieval task.