Modelling and analysing oriented fibrous structures

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Rantala, M.^1 ; Lassas, M.^1 ; Sampo, J.^2 ; Takalo, J.^3 ; Timonen, J.^3 ; Siltanen, S.^1

Department of Mathematics and Statistics, University of Helsinki, PO Box 68, FI-00014, Finland^1

Department of Mathematics and Physics, Lappeenranta University of Technology, PO Box 20, FI-53851 Lappeenranta, Finland^2

Department of Physics, University of Jyväskylä, PO Box 35, FI-40014, Finland^3

关键词: Curve-let transforms;    Curvelets;    Fibrous structures;    Ground truth;    Orientation analysis;    Paper samples;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012089/pdf
DOI  :  10.1088/1742-6596/490/1/012089

来源: IOP

【 摘 要 】

A mathematical model for fibrous structures using a direction dependent scaling law is presented. The orientation of fibrous nets (e.g. paper) is analysed with a method based on the curvelet transform. The curvelet-based orientation analysis has been tested successfully on real data from paper samples: the major directions of fibrefibre orientation can apparently be recovered. Similar results are achieved in tests on data simulated by the new model, allowing a comparison with ground truth.