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Fast invariant recognition of colour 3D images based on triplet-quaternion-valued moments and invariants: book chapter. / Labunets, Valeri; Labunets-Rundblad, Ekaterina; Astola, Jaakko.
VISION GEOMETRY X: book. ред. / L. Latecki; D. Mount; A. Wu; R. Melter. Том 4476 SPIE, 2001. стр. 22-33 (Proceedings of SPIE - The International Society for Optical Engineering; Том 4476).

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Harvard

Labunets, V, Labunets-Rundblad, E & Astola, J 2001, Fast invariant recognition of colour 3D images based on triplet-quaternion-valued moments and invariants: book chapter. в L Latecki, D Mount, A Wu & R Melter (ред.), VISION GEOMETRY X: book. Том. 4476, Proceedings of SPIE - The International Society for Optical Engineering, Том. 4476, SPIE, стр. 22-33. https://doi.org/10.1117/12.447284

APA

Labunets, V., Labunets-Rundblad, E., & Astola, J. (2001). Fast invariant recognition of colour 3D images based on triplet-quaternion-valued moments and invariants: book chapter. в L. Latecki, D. Mount, A. Wu, & R. Melter (Ред.), VISION GEOMETRY X: book (Том 4476, стр. 22-33). (Proceedings of SPIE - The International Society for Optical Engineering; Том 4476). SPIE. https://doi.org/10.1117/12.447284

Vancouver

Labunets V, Labunets-Rundblad E, Astola J. Fast invariant recognition of colour 3D images based on triplet-quaternion-valued moments and invariants: book chapter. в Latecki L, Mount D, Wu A, Melter R, Редакторы, VISION GEOMETRY X: book. Том 4476. SPIE. 2001. стр. 22-33. (Proceedings of SPIE - The International Society for Optical Engineering). doi: 10.1117/12.447284

Author

Labunets, Valeri ; Labunets-Rundblad, Ekaterina ; Astola, Jaakko. / Fast invariant recognition of colour 3D images based on triplet-quaternion-valued moments and invariants : book chapter. VISION GEOMETRY X: book. Редактор / L. Latecki ; D. Mount ; A. Wu ; R. Melter. Том 4476 SPIE, 2001. стр. 22-33 (Proceedings of SPIE - The International Society for Optical Engineering).

BibTeX

@inproceedings{24d86b0fcbb34079ba69bd7da4d4107b,
title = "Fast invariant recognition of colour 3D images based on triplet-quaternion-valued moments and invariants: book chapter",
abstract = "There is currently a considerable interest in methods of invariant 3D image recognition. Indeed, very often information about 3D objects can be obtained by computer tomographic reconstruction, 3D magnetic resonance imaging, passive 3D sensors or active range finders. Due to that algorithms of systematic derivation of 3D moment invariants should he developed for 3D colour object recognition. In this work we proposed an elegant theory which allows to describe many such invariants. Our theory is based on the theory of triplet numbers and quaternions. We propose triplet-quaternion-valued invariants, which are related to the descriptions of objects as the zero sets of implicit polynomials. These are global invariants which show great promise for recognition of complicated objects. Triplet-quaternion-valued invariants have good discriminating power for computer recognition of 3D colour objects using statistical pattern recognition methods. For fast computation of triplet-quaternion-valued invariants we use modular arithmetic of Galois fields and rings, which maps calculation of invariants to fast number theoretical Fourier-Galois-Hamilton-transform.",
author = "Valeri Labunets and Ekaterina Labunets-Rundblad and Jaakko Astola",
year = "2001",
doi = "10.1117/12.447284",
language = "English",
isbn = "0-8194-4190-2",
volume = "4476",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE",
pages = "22--33",
editor = "L. Latecki and D. Mount and A. Wu and R. Melter",
booktitle = "VISION GEOMETRY X",
address = "United States",

}

RIS

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T1 - Fast invariant recognition of colour 3D images based on triplet-quaternion-valued moments and invariants

T2 - book chapter

AU - Labunets, Valeri

AU - Labunets-Rundblad, Ekaterina

AU - Astola, Jaakko

PY - 2001

Y1 - 2001

N2 - There is currently a considerable interest in methods of invariant 3D image recognition. Indeed, very often information about 3D objects can be obtained by computer tomographic reconstruction, 3D magnetic resonance imaging, passive 3D sensors or active range finders. Due to that algorithms of systematic derivation of 3D moment invariants should he developed for 3D colour object recognition. In this work we proposed an elegant theory which allows to describe many such invariants. Our theory is based on the theory of triplet numbers and quaternions. We propose triplet-quaternion-valued invariants, which are related to the descriptions of objects as the zero sets of implicit polynomials. These are global invariants which show great promise for recognition of complicated objects. Triplet-quaternion-valued invariants have good discriminating power for computer recognition of 3D colour objects using statistical pattern recognition methods. For fast computation of triplet-quaternion-valued invariants we use modular arithmetic of Galois fields and rings, which maps calculation of invariants to fast number theoretical Fourier-Galois-Hamilton-transform.

AB - There is currently a considerable interest in methods of invariant 3D image recognition. Indeed, very often information about 3D objects can be obtained by computer tomographic reconstruction, 3D magnetic resonance imaging, passive 3D sensors or active range finders. Due to that algorithms of systematic derivation of 3D moment invariants should he developed for 3D colour object recognition. In this work we proposed an elegant theory which allows to describe many such invariants. Our theory is based on the theory of triplet numbers and quaternions. We propose triplet-quaternion-valued invariants, which are related to the descriptions of objects as the zero sets of implicit polynomials. These are global invariants which show great promise for recognition of complicated objects. Triplet-quaternion-valued invariants have good discriminating power for computer recognition of 3D colour objects using statistical pattern recognition methods. For fast computation of triplet-quaternion-valued invariants we use modular arithmetic of Galois fields and rings, which maps calculation of invariants to fast number theoretical Fourier-Galois-Hamilton-transform.

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U2 - 10.1117/12.447284

DO - 10.1117/12.447284

M3 - Conference contribution

SN - 0-8194-4190-2

VL - 4476

T3 - Proceedings of SPIE - The International Society for Optical Engineering

SP - 22

EP - 33

BT - VISION GEOMETRY X

A2 - Latecki, L.

A2 - Mount, D.

A2 - Wu, A.

A2 - Melter, R.

PB - SPIE

ER -

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