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2D and 3D image analysis by moments / / Jan Flusser, Tomś Suk and Barbara Zitová
2D and 3D image analysis by moments / / Jan Flusser, Tomś Suk and Barbara Zitová
Autore Flusser Jan
Pubbl/distr/stampa Chichester, [England] : , : Wiley, , 2017
Descrizione fisica 1 online resource
Disciplina 621.36/7015159
Soggetto topico Image analysis
Moment problems (Mathematics)
Invariants
ISBN 1-119-03937-1
1-119-03936-3
1-119-03940-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910151742503321
Flusser Jan  
Chichester, [England] : , : Wiley, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
2D and 3D image analysis by moments / / Jan Flusser, Tomś Suk and Barbara Zitová
2D and 3D image analysis by moments / / Jan Flusser, Tomś Suk and Barbara Zitová
Autore Flusser Jan
Pubbl/distr/stampa Chichester, [England] : , : Wiley, , 2017
Descrizione fisica 1 online resource
Disciplina 621.36/7015159
Soggetto topico Image analysis
Moment problems (Mathematics)
Invariants
ISBN 1-119-03937-1
1-119-03936-3
1-119-03940-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910820805003321
Flusser Jan  
Chichester, [England] : , : Wiley, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Moments and moment invariants in pattern recognition [[electronic resource] /] / Jan Flusser, Tomás Suk, Barbara Zitov
Moments and moment invariants in pattern recognition [[electronic resource] /] / Jan Flusser, Tomás Suk, Barbara Zitov
Autore Flusser Jan
Pubbl/distr/stampa Chichester, West Sussex, U.K. ; ; Hoboken, N.J., : J. Wiley, 2009
Descrizione fisica 1 online resource (314 p.)
Disciplina 515/.42
Altri autori (Persone) SukTomáš
ZitováBarbara
Soggetto topico Optical pattern recognition - Mathematics
Moment problems (Mathematics)
Invariants
ISBN 1-282-38033-8
9786612380334
0-470-68475-5
0-470-68476-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Authors' biographies; Preface; Acknowledgments; 1 Introduction to moments; 1.1 Motivation; 1.2 What are invariants?; 1.2.1 Categories of invariant; 1.3 What are moments?; 1.3.1 Geometric and complex moments; 1.3.2 Orthogonal moments; 1.4 Outline of the book; References; 2 Moment invariants to translation, rotation and scaling; 2.1 Introduction; 2.1.1 Invariants to translation; 2.1.2 Invariants to uniform scaling; 2.1.3 Traditional invariants to rotation; 2.2 Rotation invariants from complex moments; 2.2.1 Construction of rotation invariants; 2.2.2 Construction of the basis
2.2.3 Basis of invariants of the second and third orders2.2.4 Relationship to the Hu invariants; 2.3 Pseudoinvariants; 2.4 Combined invariants to TRS and contrast changes; 2.5 Rotation invariants for recognition of symmetric objects; 2.5.1 Logo recognition; 2.5.2 Recognition of simple shapes; 2.5.3 Experiment with a baby toy; 2.6 Rotation invariants via image normalization; 2.7 Invariants to nonuniform scaling; 2.8 TRS invariants in 3D; 2.9 Conclusion; References; 3 Affine moment invariants; 3.1 Introduction; 3.1.1 Projective imaging of a 3D world; 3.1.2 Projective moment invariants
3.1.3 Affine transformation3.1.4 AMIs; 3.2 AMIs derived from the Fundamental theorem; 3.3 AMIs generated by graphs; 3.3.1 The basic concept; 3.3.2 Representing the invariants by graphs; 3.3.3 Independence of the AMIs; 3.3.4 The AMIs and tensors; 3.3.5 Robustness of the AMIs; 3.4 AMIs via image normalization; 3.4.1 Decomposition of the affine transform; 3.4.2 Violation of stability; 3.4.3 Relation between the normalized moments and the AMIs; 3.4.4 Affine invariants via half normalization; 3.4.5 Affine invariants from complex moments; 3.5 Derivation of the AMIs from the Cayley-Aronhold equation
3.5.1 Manual solution3.5.2 Automatic solution; 3.6 Numerical experiments; 3.6.1 Digit recognition; 3.6.2 Recognition of symmetric patterns; 3.6.3 The children's mosaic; 3.7 Affine invariants of color images; 3.8 Generalization to three dimensions; 3.8.1 Method of geometric primitives; 3.8.2 Normalized moments in 3D; 3.8.3 Half normalization in 3D; 3.8.4 Direct solution of the Cayley-Aronhold equation; 3.9 Conclusion; Appendix; References; 4 Implicit invariants to elastic transformations; 4.1 Introduction; 4.2 General moments under a polynomial transform; 4.3 Explicit and implicit invariants
4.4 Implicit invariants as a minimization task4.5 Numerical experiments; 4.5.1 Invariance and robustness test; 4.5.2 ALOI classification experiment; 4.5.3 Character recognition on a bottle; 4.6 Conclusion; References; 5 Invariants to convolution; 5.1 Introduction; 5.2 Blur invariants for centrosymmetric PSFs; 5.2.1 Template matching experiment; 5.2.2 Invariants to linear motion blur; 5.2.3 Extension to n dimensions; 5.2.4 Possible applications and limitations; 5.3 Blur invariants for N-fold symmetric PSFs; 5.3.1 Blur invariants for circularly symmetric PSFs
5.3.2 Blur invariants for Gaussian PSFs
Record Nr. UNINA-9910139968003321
Flusser Jan  
Chichester, West Sussex, U.K. ; ; Hoboken, N.J., : J. Wiley, 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Moments and moment invariants in pattern recognition / / Jan Flusser, Tomas Suk, Barbara Zitov
Moments and moment invariants in pattern recognition / / Jan Flusser, Tomas Suk, Barbara Zitov
Autore Flusser Jan
Edizione [1st ed.]
Pubbl/distr/stampa Chichester, West Sussex, U.K. ; ; Hoboken, N.J., : J. Wiley, 2009
Descrizione fisica 1 online resource (314 p.)
Disciplina 515/.42
Altri autori (Persone) SukTomas
ZitovaBarbara
Soggetto topico Optical pattern recognition - Mathematics
Moment problems (Mathematics)
Invariants
ISBN 1-282-38033-8
9786612380334
0-470-68475-5
0-470-68476-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Authors' biographies; Preface; Acknowledgments; 1 Introduction to moments; 1.1 Motivation; 1.2 What are invariants?; 1.2.1 Categories of invariant; 1.3 What are moments?; 1.3.1 Geometric and complex moments; 1.3.2 Orthogonal moments; 1.4 Outline of the book; References; 2 Moment invariants to translation, rotation and scaling; 2.1 Introduction; 2.1.1 Invariants to translation; 2.1.2 Invariants to uniform scaling; 2.1.3 Traditional invariants to rotation; 2.2 Rotation invariants from complex moments; 2.2.1 Construction of rotation invariants; 2.2.2 Construction of the basis
2.2.3 Basis of invariants of the second and third orders2.2.4 Relationship to the Hu invariants; 2.3 Pseudoinvariants; 2.4 Combined invariants to TRS and contrast changes; 2.5 Rotation invariants for recognition of symmetric objects; 2.5.1 Logo recognition; 2.5.2 Recognition of simple shapes; 2.5.3 Experiment with a baby toy; 2.6 Rotation invariants via image normalization; 2.7 Invariants to nonuniform scaling; 2.8 TRS invariants in 3D; 2.9 Conclusion; References; 3 Affine moment invariants; 3.1 Introduction; 3.1.1 Projective imaging of a 3D world; 3.1.2 Projective moment invariants
3.1.3 Affine transformation3.1.4 AMIs; 3.2 AMIs derived from the Fundamental theorem; 3.3 AMIs generated by graphs; 3.3.1 The basic concept; 3.3.2 Representing the invariants by graphs; 3.3.3 Independence of the AMIs; 3.3.4 The AMIs and tensors; 3.3.5 Robustness of the AMIs; 3.4 AMIs via image normalization; 3.4.1 Decomposition of the affine transform; 3.4.2 Violation of stability; 3.4.3 Relation between the normalized moments and the AMIs; 3.4.4 Affine invariants via half normalization; 3.4.5 Affine invariants from complex moments; 3.5 Derivation of the AMIs from the Cayley-Aronhold equation
3.5.1 Manual solution3.5.2 Automatic solution; 3.6 Numerical experiments; 3.6.1 Digit recognition; 3.6.2 Recognition of symmetric patterns; 3.6.3 The children's mosaic; 3.7 Affine invariants of color images; 3.8 Generalization to three dimensions; 3.8.1 Method of geometric primitives; 3.8.2 Normalized moments in 3D; 3.8.3 Half normalization in 3D; 3.8.4 Direct solution of the Cayley-Aronhold equation; 3.9 Conclusion; Appendix; References; 4 Implicit invariants to elastic transformations; 4.1 Introduction; 4.2 General moments under a polynomial transform; 4.3 Explicit and implicit invariants
4.4 Implicit invariants as a minimization task4.5 Numerical experiments; 4.5.1 Invariance and robustness test; 4.5.2 ALOI classification experiment; 4.5.3 Character recognition on a bottle; 4.6 Conclusion; References; 5 Invariants to convolution; 5.1 Introduction; 5.2 Blur invariants for centrosymmetric PSFs; 5.2.1 Template matching experiment; 5.2.2 Invariants to linear motion blur; 5.2.3 Extension to n dimensions; 5.2.4 Possible applications and limitations; 5.3 Blur invariants for N-fold symmetric PSFs; 5.3.1 Blur invariants for circularly symmetric PSFs
5.3.2 Blur invariants for Gaussian PSFs
Record Nr. UNINA-9910816990103321
Flusser Jan  
Chichester, West Sussex, U.K. ; ; Hoboken, N.J., : J. Wiley, 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui