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
Image alignment and stitching: a tutorial
Foundations and Trends® in Computer Graphics and Vision
Multiobjective design of operators that detect points of interest in images
Proceedings of the 10th annual conference on Genetic and evolutionary computation
Photo-based question answering
MM '08 Proceedings of the 16th ACM international conference on Multimedia
The Representation and Matching of Images Using Top Points
Journal of Mathematical Imaging and Vision
Feature vector similarity based on local structure
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Image matching using enclosed region detector
Journal of Visual Communication and Image Representation
3D winding number: theory and application to medical imaging
Journal of Biomedical Imaging - Special issue on modern mathematics in biomedical imaging
Image and Vision Computing
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We consider the use of 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. By means of a set of repeatability experiments and receiver-operator-curves we demonstrate the performance of top-points and differential invariant features as image descriptors.