Abstract
The force-displacement curves of brittle (crunchy) foods are notorious for their irregular shape and irreproducibility. Nevertheless, they are still a record of successive failure events and therefore their jaggedness should not be treated as an artifact. The objectives of this communication are to present methods to characterize such curves, to demonstrate these methods capabilities and limitations, and to show how they can be used to evaluate the effect of moisture on the texture of cereal-based and other food products. Although the focus of this communication is on mechanical signatures, other types of signatures or records (e.g. acoustic) can also, at least in principle, be treated by the same or similar procedures. The mathematical principles on which the described methods were developed in other fields and several of them have been routinely applied in research and the design of engineering systems. They are discussed in great detail in the vast literature on the analysis of time series, chaos and fractals. The following will only describe their specific application, to food texture evaluation in our laboratory at the University of Massachusetts. No attempt has been made to provide a comprehensive literature survey on the subject or to cite and discuss the works of other groups which are active in the field and use similar or alternative techniques.
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Barrett, A. M., Normand, M. D., Peleg, M. and Ross. E. 1992. Characterization of the jagged stress-strain relationships of puffed extrudates using the Fast Fourier Transform and Fractal Analysis. J. Food Sci. 57:227-232 and 235.
Wollny, M. and Peleg, M. 1994. A model of moisture induced plasticization of crunchy snacks based on Fermi’s distribution function. J. Sci. Agr. Food. 64, 467-473.
Harris, M. and Peleg, M. 1996. Patterns of textural changes in brittle cellular cereal foods caused by moisture sorption. Cereal Chem. 73, 225 - 231.
Peleg, M. and Normand, M.D. 1995. Stiffness assessment from jagged force-deformation relationships. J. Texture Stud. 26, 353 - 370.
Gerhards, Ch., Ulbricht, D. and Peleg, M. 1998. Mechanical characterization of individual instant coffee agglomerates. J. Food Sci. (in press).
Peleg, M. 1997. Measures of line jaggedness and their use in foods textural evaluation. CRC Crit. Rev. Food Sci. Nut. (in press).
Tesch, R., Normand, M.D. and Peleg, M. 1996. Comparison of the acoustic and mechanical signatures of two cellular crunchy cereal foods at various water activity levels. J. Sci. Food Agric. 70, 347-354.
Tan, J., Gao, X. and Hsieh, F. Extrudate characterization by image processing. J. Food Sci. 59, 1247 - 1250.
Rhode, F., Normand, M. D. an Peleg, M. 1993. Characterization of the power spectrum of force-deformation relationships of crunchy foods. J. Texture Stud. 24, 45 - 92.
Kaybe, B.H. 1989. A Random Walk Through Fractal Dimensions. VCH, New York.
Kaye, B.H. 1993. Chaos and Complexity, Discovering the Surprising Patterns of Science and Technology. VCH, New York.
Peleg, S., Naor, J., Hartley, R. and Avnir, D. 1984. Multiple resolution texture analysis and classification. IEEE Trans. Pattern Anal. and Machine Intel. 6, 518-523.
Peleg, M. and Normand, M. D. 1993. Determination of the fractal dimension of the irregular compressive stress-strain relationships of brittle crumbly particulates. Part. Part. Syst.Charact. 10, 301-307.
Borges, A. and Peleg, M. 1996. Determination of the apparent fractal dimension of the force-displacement curves of brittle snacks by four different algorithms. J. Texture Studies 27, 243 - 255.
Damrau, E., Normand, M.D. and Peleg, M. 1997. Effect of resolution on the apparent fractal dimension of jagged force-displacements relationships and other irregular signatures. J. Food Engng. 31, 171 - 184.
Suwonsichon, T., Normand, M.D. and Peleg, M. 1998. Estimation of the mechanical properties of individual brittle particles from their bulk compressibility. J. Texture Stud. (in press).
Russ, J. C. 1994. Fractal Surfaces. Plenum Press, New York.
Ulbricht, D., Normand, M.D., Peleg, M. and Horowitz, J. 1994. Assessment of the crumbliness of individual fragile particulates from that of their assemblies. Powder Technology 81, 83 - 91.
Ulbricht, D., Normand, M.D. and Peleg, M. 1995. Creating typical jagged force-deformation relationships from the irregular and irreproducible compression data of crunchy foods. J. Sci. Food Agric. 67, 453-459.
Ruelle, D. 1989. Chaotic evolution and strange attractors. Cambridge University Press, Cambridge, UK.
Peleg, M. 1993. Do irregular stress-strain relationships of crunchy foods have regular periodicities ? J. Texture Stud. 24, 215 - 227.
Pickover, C.A. 1986. On the use of symmetrized dot patterns for the visual characterization of speech waveforms and other sampled data. J. Acous. Soc. Am. 80, 955-960.
DeRosier, B., Normand, M.D. and Peleg, M. Effect of lag on the symmetrized dot pattern (SDP) displays of the mechanical signatures of crunchy cereal foods. J. Sci. Food Agric. 75.
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Peleg, M. (1998). Extracting Useful Information from Irregular and Irreproducible Mechanical and Other Signatures. In: Tunick, M.H., Palumbo, S.A., Fratamico, P.M. (eds) New Techniques in the Analysis of Foods. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-5995-2_4
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DOI: https://doi.org/10.1007/978-1-4757-5995-2_4
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