Shock Graphs and Shape Matching
International Journal of Computer Vision
State of the art in shape matching
Principles of visual information retrieval
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Shape Matching and Object Recognition Using Shape Contexts
IEEE Transactions on Pattern Analysis and Machine Intelligence
Stability of Persistence Diagrams
Discrete & Computational Geometry
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
Multidimensional Size Functions for Shape Comparison
Journal of Mathematical Imaging and Vision
A Template-Based Shape Representation Technique
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
Persistent homology for kernels, images, and cokernels
SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
The Theory of Multidimensional Persistence
Discrete & Computational Geometry - 23rd Annual Symposium on Computational Geometry
A new algorithm for computing the 2-dimensional matching distance between size functions
Pattern Recognition Letters
An Efficient and Robust Algorithm for Shape Indexing and Retrieval
IEEE Transactions on Multimedia
Fast K-means algorithm based on a level histogram for image retrieval
Expert Systems with Applications: An International Journal
Comparing shapes through multi-scale approximations of the matching distance
Computer Vision and Image Understanding
| Hi-index | 0.10 |
In content-based image retrieval a major problem is the presence of noisy shapes. Noise can present itself not only in the form of continuous deformations, but also as topological changes. It is well known that persistent Betti numbers are a shape descriptor that admits dissimilarity distances stable under continuous shape deformations. In this paper we focus on the problem of dealing with noise that alters the topology of the studied objects. We present a general method to turn persistent Betti numbers into stable descriptors also in the presence of topological changes. Retrieval tests on the Kimia-99 database show the effectiveness of the method.