Full text of article: Russian language.
Abstract:
In th e paper, the solution of a problem of the observability of a three-dimensional crystalline lattice on its projections is considered on the basis of the theory of description of kinematics of a rotary motion and the observation and guidance theory of dynamic objects. The necessary and sufficient conditions are obtained for the observability of a crystalline lattice performing a rotary motion in space about the central knot. The fulfillment of the conditions for some special cases – a cubic cell and a tetrahedron – isconsidered. Expressions for the calculation of parameters of the observable lattices are derived.
Key words:
a crystalline lattice, Euler's parameters, observability, equation of state, equation of observation.
References:
- Umansky, Ya.C. Krisltallographiya, rentgenographiya i electronnaya microskopiya / Ya.C. Umanskiy [et al.] // Ìoscow: “Metallurgiya” Publisher, 1982. – 632 p. – (In Russian).
- Egorov-Tismenko, Yu.K. Kristallographiya i kristallokhimiya / Yu.K. Egorov-Ticmenko // Ìoscow: “KDU” Publisher, 2005. – 592 p. – (In Russian).
- Hejker, D.M. X-ray a diffractometry. Physical and mathematical library of the engineer / D.M. Hejker, L.S. Zevin // Ìoscow: “Fismatgiz” Publisher, 1963. – 380 p. – (In Russian).
- Gorelik, S.S. Radiographic and the electron-optical analysis. Studies. Uchebnoye posobie dlya vuzov / S.S. Gorelik, J.A. Skakov, L.N. Rastorguev. – 3d edition. – Ìoscow: “MISIS” Publisher, 1994. – 328 p. – (In Russian).
- Brandon, D. Microstructural Characterization of Materials / D. Branon, W. Kaplan // Ìoscow: “Technosfera” Publisher, 204. – 384 p. – (In Russian).
- Goodhew, P.J. Electron microscopy and analysis / P.J. Goodhew [et al.]. – 3d edition. – Taylor&Francis, 2001.– 265 p.
- Soifer, V.A. Analysis and recognition of the nanoscale images: conventional approach and novel problem statement / V.A. Soifer, A.V. Kupriyanov // Computer Optics. – 2011. – V. 35, N 2. – P. 136-144. – (In Russian).
- Kupriyanov, A.V. Analysis and recognition of the nanoscale images: conventional approach and novel problem statement / A.V. Kupriyanov // Computer Optics. – 2011. – V. 35, N 2. – P. 151-157. – (In Russian).
- Shuttles, J.N. Kvaternionnye and bikvaternionnye models and methods of a mechanics of a solid body and their appendix. Geometry and kinematics of movement / J.N. Shuttles //Ìoscow: “FISMATLIT” Publisher, 2006. – 512 p. – (In Russian).
- Robinson, A.C. On the use of quaternions in simulation of rigid-body motion / A.C. Robinson // WADD Techn. report. – 1957. – N 58-17.
- Branets, V.N. Primenenie of quaternions in problems of orientation of a solid body / V.N. Branets, I.P. Shmyglevsky // Ìoscow: “Nauka” Publisher, 1973. – 320 p. – (In Russian).
- Grop, D. Methods of systems identification / D. Grop // Ìoscow: “MIR” Publisher, 1979. – 304 p. – (In Russian).
© 2009, IPSI RAS
Institution of Russian Academy of Sciences, Image Processing Systems Institute of RAS, Russia, 443001, Samara, Molodogvardeyskaya Street 151; E-mail: ko@smr.ru; Phones: +7 (846 2) 332-56-22, Fax: +7 (846 2) 332-56-20