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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 ,
Jussi Timonen ,
Jouni Sampo ,
Kalle Marjanen ,
Samuli Siltanen  and
Matti Lassas
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
*
ae-mail: [email protected]

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
Information
The European Physical Journal - Applied Physics , Volume 65 , Issue 1 , January 2014 , 10703
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

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