3D rotation invariants by complex moments
| Autor: | Tomáš Suk, Jan Flusser, Jiří Boldyš |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Discrete mathematics
Pure mathematics Generalization Spherical harmonics Order (ring theory) Group representation Artificial Intelligence TheoryofComputation_LOGICSANDMEANINGSOFPROGRAMS Signal Processing Invariants of tensors Computer Vision and Pattern Recognition Linear independence Graphical model Rotation (mathematics) Software Mathematics |
| Zdroj: | Pattern Recognition. 48:3516-3526 |
| ISSN: | 0031-3203 |
| DOI: | 10.1016/j.patcog.2015.05.007 |
| Popis: | A generalization of the complex moments from 2D to 3D is described. Group representation theory is used to construct 3D rotation invariants from them. The algorithm for automatic generating of the invariants of higher orders is proposed. An algorithm for automatic generation of higher order invariants is proposed. The linearly dependent invariants are eliminated. The invariants are experimentally tested on 3D graphical models and also on real volumetric data. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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