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Invariants for pattern recognition and classification /

This book was conceived from the realization that there was a need to update recent work on invariants in a single volume providing a useful set of references and pointers to related work. Since the publication in 1992 of J.L. Mundy and A. Zisserman's "Geometric Invariance in Computer Visi...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Rodrigues, Marcos A. (Marcos Aurelio)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; New Jersey : World Scientific, 2000.
Colección:Series in machine perception and artificial intelligence ; vol. 42.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Ch. 1. Analysis and computation of projective invariants from multiple views in the geometric algebra framework. 1.1. Introduction. 1.2. Geometric algebra: an outline. 1.3. Projective geometry and the projective split. 1.4. 1D and 2D projective invariants from a single view. 1.5. 3D projective invariants from multiple views. 1.6. Experimental results. 1.7. Conclusions
  • ch. 2. Invariants to convolution and rotation. 2.1. Introduction. 2.2. Mathematical background. 2.3. Invariants to convolution composed of the complex moments. 2.4. Combined invariants. 2.5. Additional invariance. 2.6. Testing the numerical properties. 2.7. Application to satellite image registration. 2.8. Conclusion
  • ch. 3. A new representation for quartic curves and complete sets of geometric invariants. 3.1. Introduction. 3.2. Elliptical-circular (E2C) representation of quartic curves. 3.3. A complete set of geometric invariants. 3.4. Alignment. 3.5. Affine equivalent quartics. 3.6. Experiments. 3.7. Concluding remarks
  • ch. 4. A robust affine invariant metric on boundary patterns. 4.1. Introduction. 4.2. Invariant metrics on patterns. 4.3. Robustness axioms. 4.4. Constructing invariant pattern metrics. 4.5. The reflection metric. 4.6. Experimental results. 4.7. Conclusion
  • ch. 5. Invariant geometric properties of image correspondence vectors as rigid constraints to motion estimation. 5.1. Introduction. 5.2. The method: a geometric constraints framework for motion analysis. 5.3. Description of the algorithms. 5.4. Experimental results. 5.5. Conclusions
  • ch. 6. Features of derivative continuity in shape. 6.1. Introduction. 6.2. Means and methods. 6.3. Demonstrations. 6.4. Discussion.
  • Ch. 7. Fourier-Mellin based invariants for the recognition of multi-oriented and multi-scaled shapes
  • application to engineering drawings analysis. 7.1. Introduction. 7.2. General interpretation structure. 7.3. Review of existing invariant pattern recognition techniques. 7.4. Invariant pattern recognition for multi-oriented and multi-scaled characters and symbols. 7.5. Experimental results. 7.6. Conclusion and perspectives
  • ch. 8. High-order statistical pattern spectrum: an invariant and noise-robust shape descriptor. 8.1. Introduction. 8.2. Morphological shape descriptors. 8.3. High-order statistical pattern spectrum. 8.4. Results. 8.5. Conclusions
  • ch. 9. Improved moment invariants for invariant image representation. 9.1. Introduction. 9.2. Basic theory of regular moments and symmetrical problem. 9.3. New moments. 9.4. New moments for rotated images. 9.5. New moments for noisy images. 9.6. Experimental study. 9.7. Conclusion
  • ch. 10. An approach using elastic graph dynamic link model for automating the satellite interpretation of tropical cyclone patterns. 10.1. Introduction. 10.2. Satellite image interpretation. 10.3. Automatic pattern recognition techniques. 10.4. The dynamic link architecture. 10.5. The Active Contour Model (ACM). 10.6. The Elastic Graph Dynamic Link Model (EGDLM). 10.7. Implementation. 10.8. Conclusion and further work
  • ch. 11. Colour normalization for colour object recognition and image retrieval. 11.1. Introduction. 11.2. Colour image formation. 11.3. Removing illumination dependency. 11.4. Experiments of colour based object recognition. 11.5. Conclusion.