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Evaluation of the orientation distribution of fibers from reflection images of fibrous samples

Published online by Cambridge University Press:  27 January 2014

Jouni Takalo*
Affiliation:
Department of Physics, University of Jyväskylä, P.O. Box 35, 40014 Jyväskylä, Finland
Jussi Timonen
Affiliation:
Department of Physics, University of Jyväskylä, P.O. Box 35, 40014 Jyväskylä, Finland Nanoscience Center, University of Jyväskylä, P.O. Box 35, 40014 Jyväskylä, Finland
Jouni Sampo
Affiliation:
Department of Mathematics and Physics, Lappeenranta University of Technology, P.O. Box 20, 53851 Lappeenranta, Finland Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, 00014 Helsinki, Finland
Kalle Marjanen
Affiliation:
Department of Automation Science and Engineering, Tampere University of Technology, P.O. Box 527, 33101 Tampere, Finland
Samuli Siltanen
Affiliation:
Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, 00014 Helsinki, Finland
Matti Lassas
Affiliation:
Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, 00014 Helsinki, Finland

Abstract

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We consider illumination systems and mathematical algorithms for determination of the anisotropy and topographical features of an illuminated surface from its reflection images. As a particular example we study determination of the fiber orientation of paper surface. We also consider illumination systems with multiple light sources, and introduce optimization algorithms that exploit different spectral bands of these light sources. We show that a system of three light sources, e.g., a blue, green and red LED placed in a regular triangular form, efficiently prevents distortion of the above features. It is also easy to implement in applications, e.g., of the paper industry. We furthermore show that a pentagonal illumination system would be even better. However, in this case a five-colour photographic system and the corresponding light sources would be needed.

Type
Research Article
Creative Commons
Creative Common License - CCCreative Common License - BY
This article is distributed under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0 which permits unrestricted use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
Copyright
© The Author(s) 2014

References

Hirn, U., Bauer, W., Investigating paper curl by sheet splitting, in Proceedings of the 2006 Eucepa supported conference ‘Challenges in Pulp- and Papermaking Technology’, Bratislava, Slovakia, 2006Google Scholar
Chinga-Carrasco, G., Kauko, H., Myllys, M., Timonen, J., Wang, B., Zhou, M., Fossum, J.O., J. Microsc. 232, 212 (2008)CrossRef
Ekman, A., Miettinen, A., Turpeinen, T., Backfolk, K., Timonen, J., Nord. Pulp Pap. Res. J. 27, 270 (2012)CrossRef
Söremark, C., Johansson, G., Kiviranta, A., Characterization and elimination of fiber orientation streaks, in Tappi Engineering conference proceedings, San Francisco, USA, 1994, pp. 97104Google Scholar
Kiviranta, A., Pakarinen, P., New insight into fiber orientation streaks, in Tappi Papermakers conference proceedings, Cincinnati, USA, 2001Google Scholar
Niskanen, K., Paper physics, papermaking science and technology, vol. 16 (Fapet, Jyväskylä, 1998)Google Scholar
Uesaka, T., Ishizawa, T., Kodaka, T., Okushima, S., Fukuchi, R., Jpn Tappi 41, 335 (1987)CrossRef
Shands, J., Genco, J., Tappi J. 71, 165 (1988)
Sampo, J., Takalo, J., Siltanen, S., Lassas, M., Miettinen, A., J. Timonen, Opt. Eng. (in press)
Krause, M., Hausherr, J.M., Burgeth, B., Herrmann, C., Krenkel, W., J. Mater. Sci. 45, 888 (2010)CrossRef
Candès, E.J., Not. Am. Math. Soc. 50, 1402 (2003)
Candès, E.J., Donoho, D.L., Commun. Pure Appl. Math. 57, 219 (2004)CrossRef
Brox, T., van den Boomgaard, R., Lauzem, F., van de Weijer, J., Weickert, J., Mrzek, P., Kornprobst, P., in Visualization and processing of tensor fields, edited by Weickert, J., Hagen, H. (Springer-Verlag, Berlin, 2006), pp. 1747CrossRefGoogle Scholar
Nath, S.K., Palaniappan, K., Lect. Notes Comput. Sci. 3803, 445 (2005)CrossRef
Enomae, T., Han, Y.-H., Isogai, A., Nord. Pulp Pap. Res. J. 21, 253 (2006)CrossRef
Candès, E.J., Demanet, L., Donoho, D.L., Ying, L., Multiscale Model. Simul. 5, 861 (2006)CrossRef
Fisher, N.I., Statistical analysis of circular data, Revised edition (Gambridge University press, New York, USA, 1995)Google Scholar
Jammalamaduka, S.R, Sengupta, A., Topics in circular statistics, vol. 5, in Series on Multivariate Analysis (World Scientific Publishing Co, Singapore, 2001)CrossRefGoogle Scholar
Berens, P., J. Stat. Softw. 31, 1 (2009)CrossRef
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Evaluation of the orientation distribution of fibers from reflection images of fibrous samples
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