Fast invariant recognition of colour 3D images based on triplet-quaternion-valued moments and invariants / Labunets VG,Labunets-Rundblad EV,Astola J // . - 2001. - V. 4476, l. . - P. 22-33.

ISSN/EISSN:

0277-786X / нет данных

Type:

Proceedings Paper

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 keywords:

pattern recognition; 3D colour image; triplet numbers; quaternions; moments; invariants; fast algorithms

DOI:

10.1117/12.447284

Web of Science ID:

ISI:000175161800003

Соавторы в МНС:

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Другие поля

Поле	Значение
Editor	Latecki, LJ and Mount, DM and Wu, AY and Melter, RA
Booktitle	VISION GEOMETRY X
Series	PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE)
Note	Conference on Vision Geometry X, SAN DIEGO, CA, JUL 29-30, 2001
Organization	SPIE
Publisher	SPIE-INT SOC OPTICAL ENGINEERING
Address	1000 20TH ST, PO BOX 10, BELLINGHAM, WA 98227-0010 USA
Language	English
Article-Number	UNSP 4476-04
ISBN	0-8194-4190-2
Research-Areas	Mathematics; Optics; Imaging Science \& Photographic Technology
Web-of-Science-Categories	Mathematics, Applied; Optics; Imaging Science \& Photographic Technology
ResearcherID-Numbers	Astola, Jaakko/G-4297-2014
Number-of-Cited-References	27
Usage-Count-Since-2013	1
Doc-Delivery-Number	BU15B