Abstract
The most effective methods of digital processing based on the analysis of the brightness and frequency characteristics of the topographic and polarization-optical contrasts of structural defects are considered by example of single crystals of Si and 6H-SiC. The best results are obtained by using discrete wavelet analysis and images with a high dynamic range (HDR images). The possibility of removing the main noise-inducing factors—background inhomogeneities and granularity—on the experimental contrast by digital methods and of their modeling is shown. A procedure of the quantitative estimation for the efficiency of the digital processing and wavelet basis choice is proposed.
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Danil’chuk, L.N., Drozdov, Yu.A., Okunev, A.O., Tkal’, V.A., and Shul’pina, I.L., X-ray topography of structural defects in single-crystal semiconductors on the basis of the Borrmann effect, Zavod. Lab., Diagn. Mater., 2002, vol. 68, no. 11, pp. 24–33.
Danil’chuk, L.N., Okunev, A.O., and Tkal’, V.A., Rentgenovskaya difraktsionnaya topografiya defektov struktury v kristallakh na osnove effekta Bormana (X-Ray Diffraction Topography of Structural Defects in Crystals on the Basis of the Borrmann effect), Novgorod: Novgorod. Gos. Univ., 2006.
Danil’chuk, L.N., Tkal’, V.A., Okunev, A.O., and Drozdov, Yu.A., Tsifrovaya obrabotka topograficheskikh i polyarizatsionno-opticheskikh izobrazhenii defektov struktury monokristallov (Digital Processing of the Topographic and Polarization-Optical Images of Defects in a Single-Crystal Structure), Novgorod: Novgorod. Gos. Univ., 2004.
Tkal’, V.A., Okunev, A.O., Emel’yanov, G.M., Petrov, M.N., and Danil’chuk, L.N., Veivlet-analiz topograficheskikh i polyarizatsioinno-opticheskikh izobrazhenii defektov struktury monokristallov (Wavelet Analysis of the Topographic and Polarization-Optical Images of Defects in a Single-Crystal Structure), Novgorod: Novgorod. Gos. Univ., 2006.
Drozdov, Yu.A., Okunev, A.O., and Tkal’, V.A., Electronic processing of the topographic images of defects in a single-crystal structure, Poverkhnost, 2002, no. 8, pp. 6–11.
Drozdov, Yu.A., Okunev, A.O., Tkal’, V.A., and Shul’pina, I.L., Application of electronic processing of the X-ray topographic images for identifying defects in a single-crystal structure, Zavod. Lab., Diagn. Mater., 2002, vol. 68, no. 12, pp. 30–36.
Danil’chuk, L.N., Drozdov, Yu.A., Okunev, A.O., Tkal’, V.A., and Shul’pina, I.L., Diagnostics of single crystals by applying the electronic processing of the diffraction and polarization-optical images of structural defects, Zavod. Lab., Diagn. Mater., 2003, vol. 69, no. 11, pp. 26–32.
Tkal’, V.A., Okunev, A.O., Drozdov, Yu.A., Shul’pina, I.L., and Danil’chuk, L.N., Electronic processing and analysis of the topographic images of edge dislocations in single crystals of 6H-SiC, Poverkhnost, 2004, no. 1, pp. 32–38.
Drozdov, Yu.A., Tkal’, V.A., Okunev, A.O., and Danil’chuk, L.N., Elimination of the background inhomogeneity and influence of the granularity of photomaterials on the topographic and polarization-optical images of structural defects in single crystals, Zavod. Lab., Diagn. Mater., 2004, vol. 70, no. 7, pp. 25–34.
Okunev, A.O., Tkal’, V.A., Drozdov, Yu.A., and Danil’chuk, L.N., The topographic contrast of screw dislocations in 6H-SiC single crystals and its electronic processing, Poverkhnost, 2004, no. 9, pp. 58–63.
Tkal’, V.A., Okunev, A.O., Drozdov, Yu.A., and Danil’chuk, L.N., Application of the digital processing for revealing the topographic images of microdefects and defects of photoemulsions, Zavod. Lab., Diagn. Mater., 2004, vol. 70, no. 11, pp. 23–28.
Danil’chuk, L.N., Okunev, A.O., Tkal’, V.A., and Drozdov, Yu.A., Experimental definition of the physical nature of growth microdefects in dislocation-free silicon grown by Chokhralsky’s method, Poverkhnost, 2005, no. 7, pp. 13–22.
Tkal’, V.A., Okunev, A.O., Belekhov, Ya.S., Petrov, M.N., and Danil’chuk L.N., Application of the wavelet analysis for the elimination of the background inhomogeneity of the polarization-optical images of detects in a single crystal structure, Zavod. Lab., Diagn. Mater., 2006, vol. 72, no. 7, pp. 22–29.
Tkal’, V.A., Okunev, A.O., Belekhov, Ya.S., Petrov, M.N., and Danil’chuk, L.N., Elimination of the granularity of the topographic images of defects in a single crystal structure by using the wavelet analysis, Zavod. Lab., Diagn. Mater., 2006, vol. 72, no. 8, pp. 27–32.
Tkal’, V.A., Okunev, A.O., Belekhov, Ya.S., Petrov, M.N., and Danil’chuk, L.N. Identification of the experimental contrast peculiarities in the scale change of images on the basis of the wavelet analysis, Zavod. Lab., Diagn. Mater., 2006, vol. 72, no. 9, pp. 25–33.
Tkal’, V.A., Okunev, A.O., Belekhov, Ya.S., et al., Elimination of the granularity of the topographic images of defects in a single crystal structure by using different wavelet bases, Zavod. Lab., Diagn. Mater., 2006, vol. 72, no. 10, pp. 23–30.
Tkal’, V.A., Okunev, A.O., Belekhov, Ya.S., Petrov, M.N., and Danil’chuk, L.N., Comparison of the results of the digital processing of the topographic contrast on the basis of the wavelet analysis and nonlinear filtering with recursive accumulation, Zavod. Lab., Diagn. Mater., 2007, vol. 73, no. 2, pp. 36–45.
Tkal’, V.A., Okunev, A.O., Belekhov, Ya.S., Petrov, M.N., and Danil’chuk, L.N., Elimination of the background inhomogeneity of images of defects in a single crystal structure by different wavelets, Zavod. Lab., Diagn. Mater., 2007, vol. 73, no. 3, pp. 28–37.
Tkal’, V.A., Okunev, A.O., Petrov, M.N., and Danil’chuk, L.N., Wavelet processing of topographic high dynamic range images, J. Surf. Invest.: X-Ray, Synchrotron Neutron Tech., 2007, vol. 1, pp. 277–285.
Tkal’, V.A., Petrov, M.N., and Voronin, N.A., Wavelet processing and elimination of the background inhomogeneity of the polarization-optical contrast of defects in a single crystal structure, Zavod. Lab., Diagn. Mater., 2009, vol. 75, no. 12, pp. 24–32.
Tkal’, V.A., Dzyuba, I.V., and Danil’chuk, L.N., Computer simulation of the theoretical contrast of various types of structure defects with noise factors, J. Surf. Invest.: X-Ray, Synchrotron Neutron Tech., 2009, vol. 3, pp. 797–803.
Tkal’, V.A., Quantitative criterion for estimation of the efficiency of digital processing of images with singlecrystal structural defects, Materialy soveshchaniya “Rentgenovskaya optika-2010” (Proc. X-Ray Optics 2010 Workshop), Chernogolovka, 2010, pp. 37–39.
Tkal’, V.A., Enhancement of the wavelet processing performance in eliminating the background inhomogeneity of the polarization-optical and topographic images of single-crystal structural defects, Materialy soveshchaniya “Rentgenovskaya optika-2010” (Proc. X-Ray Optics 2010 Workshop), Chernogolovka, 2010, pp. 60–62.
Tkal’, V.A., Petrov, M.N., and Voronin, N.A., Quantitative estimation of the efficiency of digital processing of images with single-crystal structural defects, XIV Natsional’naya konferentsiya po rostu kristallov i IV Mezhdunarodnaya konferentsiya “Kristallofizika XXI veka” (Theses XIV National Conf. on Crystal Growth and IV Int. Conf. Crystal Physics of XXI century), Moscow, 2010, vol. 2, pp. 340–341.
Tkal’, V.A., Simulation of the main noise-induced factors of images and reliability enhancement for the identification of defects in a single crystal structure, XIV Natsional’naya konferentsiya po rostu kristallov i IV Mezhdunarodnaya konferentsiya “Kristallofizika XXI veka” (Theses XIV National Conf. on Crystal Growth and IV Int. Conf. Crystal Physics of XXI century), Moscow, 2010, vol. 1, pp. 26–27.
Tkal’, V.A., Petrov, M.N., and Voronin, N.A., Elimination of the background inhomogeneity on images of single-crystal structural defects by using the wavelet analysis, XIV Natsional’naya konferentsiya po rostu kristallov i IV Mezhdunarodnaya konferentsiya “Kristallofizika XXI veka” (Theses XIV National Conf. on Crystal Growth and IV Int. Conf. Crystal Physics of XXI century), Moscow, 2010, vol. 2, pp. 327–328.
Tkal’, V.A., Petrov, M.N., and Voronin, N.A., Application of the wavelet analysis for the elimination of the granularity of the topographic contrast and registration of the low-frequency peculiarities of images of singlecrystal structural defects, XIV Natsional’naya konferentsiya po rostu kristallov i IV Mezhdunarodnaya konferentsiya “Kristallofizika XXI veka” (Theses XIV National Conf. on Crystal Growth and IV Int. Conf. Crystal Physics of XXI century), Moscow, 2010, vol. 1, pp. 329–330.
Tkal’, V.A., Petrov, M.N., Voronin, N.A., and Dzyuba, I.V., Elimination of the background nonuniformity of the experimental contrast of single-crystal structural defects, J. Surf. Invest.: X-Ray, Synchrotron Neutron Tech., 2010, vol. 4, pp. 25–31.
Tkal’, V.A., Solov’ev, V.G., Alekseeva, N.O., Pan’kova, S.V., and Yanikov, M.V., Wavelet image processing, nanocomposites obtained by scanning tunnel and electron microscopies, Zavod. Lab., Diagn.Mater., 2009, vol. 75, no. 6, pp. 37–39.
Paul, E., Debevec and Jitendra Malik. Recovering high dynamic range radiance maps from photographs, Proc. SIGGRAPH 97, Computer Graphics Proc., Whitted., T., Ed., Los Angeles, 1997, pp. 369–378.
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Original Russian Text © V.A. Tkal’, I.A. Zhukovskaya, 2013, published in Zavodskaya Laboratoriya. Diagnostika Materialov, 2013, Vol. 79, No. 4, pp. 28–37.
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Tkal’, V.A., Zhukovskaya, I.A. Digital methods for the enhancement of the experimental contrast of defects in single-crystal structures (summary article). Inorg Mater 50, 1444–1454 (2014). https://doi.org/10.1134/S0020168514150175
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DOI: https://doi.org/10.1134/S0020168514150175