Abstract
Two algorithms able to compute lineal-path distribution function L(z) and two-point correlation function, S 2 (r 1 ,r 2 ) from 2D digital images of foods were developed and validated. Particularly, “Altamura” and “White” breads as well as “Napoli” sausages were studied. Lineal-path function was modeled by considering the foods as two-phase random systems composed from polydisperse overlapping disks. Instead, two-point correlation function was modeled by using a Debye’s equation. In all cases a good agreement between experimental and theoretical trend was obtained stating the high accuracy of the algorithms in the extraction of correlation functions as well as the possibility to model breads and sausages as two-phase random systems. Also, important morphological properties such as pores distribution, pore size homogeneity and their spatial distribution, were obtained. For instance, although the estimated radius of the pores was lower for “Altamura” bread rather that for “White”, its slowest decay of L(z) highlighted that the pores showed a high dimensional inhomogeneity.
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References
B. Lu, S. Torquato, Phys Rev A 45(2), 922–929 (1992)
J. Quitavalla, S. Torquato, Phys Rev E 54(4), 4027–4036 (1996)
S. Torquato, B. Lu, Phys Rev E 47(4), 2950–2953 (1996)
D.A. Coker, S. Torquato, J. Appl, Phys. 77(12), 6087–6099 (1995)
B. Lu, S. Torquato, Phys Rev A 45(10), 7292–7301 (1992)
J.P. Latham, A. Munjiza, Y. Lu, Powder Technol. 125, 10–27 (2002)
D.A. Coker, S. Torquato, J. Dunsmuir, J. Geophys, Res. 101, 17497–17510 (1996)
A. Gabrielli, F. Sylos Labini, M. Joyce, P. Pietronero, Statistical physics for cosmic structures (Springer, New York, 2005)
A. Pommerening, D. Stoyan, Can. J. For. Res. 38, 1110–1122 (2008)
M.C. Zghal, M.G. Scanlon, H.D. Sapirstein, Cereal Chem 76, 734–742 (1999)
J.G. Ponte, D.Z. Ovadia, Baked goods freshness, eds. by R.E. Hebeda, H.F. Zobel (New York, Marcel Dekker 1996)
J.M. Aguilera, J. Food Eng. 67, 3–11 (2005)
A.K. Datta, J. Food Eng. 80, 80–95 (2007)
M.G. Scanlon, M.C. Zghal, Food Res. Int. 34, 841–864 (2001)
K.S. Lim, M. Barigou, Food Res. Int. 37, 1001–1012 (2004)
P. Babin, G. Della Valle, R. Dendievel, N. Lassoued, L. Salvo, J. Mater. Sci. 40, 5867–5873 (2005)
N. Lassoued, P. Babin, G. Della Valle, M.F. Devaux, A.L. Reguerre, Food Res. Int. 40, 1087–1097 (2007)
A. Perez-Nieto, J.J. Chanona-Perez, R.R. Farrera-Rebollo, G.F. Gutierrez-Lopez, L. Alamilla-Beltran, G. Calderon-Dominguez, LWT – Food Sci Technol 43, 535–543 (2010)
U. Gonzales-Barron, F. Butler, Eur. Food Res. Technol. 226, 721–729 (2008)
U. Gonzales-Barron, F. Butler, J. Food Eng. 84, 480–488 (2008)
S. Torquato, Random heterogeneous materials: Microstructure and macroscopic properties (Springer, New York, 2002)
S. Torquato, Annu. Rev. Mater. Res. 32, 77–111 (2002)
D. Cule, S. Torquato, J. Appl, Phys. 86(4), 3428–3437 (1999)
Y. Jiao, F.H. Stillinger, S. Torquato, Phys Rev E 76, 031110-1–031110-15 (2007)
M.D. Rintoul, S. Torquato, C. Yeong, D.T. Keane, S. Erramilli, Y.N. Jun, D.M. Dabbs, I.A. Aksay, Phys Rev E 54(3), 2663–2669 (1996)
B. Lu, S. Torquato, Phys Rev A 45(8), 5530–5544 (1992)
B. Lu, S. Torquato, J. Chem. Phys. 98(8), 6472–6482 (1993)
Y. Jiao, F.H. Stillinger, S. Torquato, PNAS 106(42), 17634–17639 (2009)
P. Smith, S. Torquato, J. Comput. Phys. 76, 176–191 (1988)
J. Quintavalla, Mech. Mater. 38, 849–858 (2006)
C.J. Gommes, Y. Jiao, S. Torquato, Phys Rev E 85, 051140-1–051140-16 (2012)
T.P. Chan, R.S. Govindaraju, Vadose Zone J. 3, 1443–1454 (2004)
H. Singh, A.M. Gokhale, S.I. Lieberman, S. Tamirisakandala, Mater. Sci. Eng., A 474, 104–111 (2008)
A. Derossi, T. De Pilli, C. Severini, Food Biophysics (2012). doi:10.1007/s11483-012-9264-1
C.L.Y. Yeong, S. Torquato, Phys Rev E. 57(1), 495–506 (1998)
N. Otsu, IEEE Trans Sys Man Cyber 9, 62–66 (1979)
M. Sezgin, B. Sankur, J Electron Imaging 13(1), 146–165 (2003)
Y. Jiao, F.H. Stillinger, S. Torquato, Phys Rev E 81, 011105 (2010)
A. Derossi, T. De Pilli, C. Severini, Food Biophys (2013). doi:10.1107/s11483-013-9289-0
M.D. Rintoul, S. Torquato, J. Colloid Interface Sci. 186, 467–476 (1997)
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Derossi, A., De Pilli, T. & Severini, C. Statistical Description of Food Microstructure. Extraction of Some Correlation Functions From 2D Images. Food Biophysics 8, 311–320 (2013). https://doi.org/10.1007/s11483-013-9307-2
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DOI: https://doi.org/10.1007/s11483-013-9307-2