Matrix analysis
Computation of object cores from grey-level images
Computation of object cores from grey-level images
Eigenmodes of Isospectral Drums
SIAM Review
Shock Graphs and Shape Matching
International Journal of Computer Vision
Matrix analysis and applied linear algebra
Matrix analysis and applied linear algebra
Isoperimetric Normalization of Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Matching and Object Recognition Using Shape Contexts
IEEE Transactions on Pattern Analysis and Machine Intelligence
Curvature Scale Space Representation: Theory, Applications, and MPEG-7 Standardization
Curvature Scale Space Representation: Theory, Applications, and MPEG-7 Standardization
Evaluation of MPEG-7 shape descriptors against other shape descriptors
Multimedia Systems
The Amsterdam Library of Object Images
International Journal of Computer Vision
A Performance Evaluation of Local Descriptors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape representation and classification using the Poisson equation
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Affine-invariant curvature estimators for implicit surfaces
Computer Aided Geometric Design
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In this paper we present a new physically motivated curve/region descriptor based on the solution of Helmholtz's equation. The descriptor we propose satisfies the six principles set by MPEG-7: it has a good retrieval accuracy, it is compact, it can be applied in general contests, it has a reasonable computational complexity, it is rotation and scale invariant and provides an hierarchical representation of the curve from coarse to fine. In addition to these properties, the descriptor can be generalized in order to take into account also the intensity content of the image region defined by the curve. The construction of the descriptor can be coupled with a preprocessing step that enables us to describe a curve in an affine invariant fashion. The performance of our approach has been tested in the contest of affine invariant curve and region matching, both within a controlled experimental setup and also using real images. The experiments show that the proposed approach compares favorably to the state of the art curve/region descriptors.