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Lecturer(s)
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Lukáš David, prof. RNDr. CSc.
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Course content
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1. Examples of structural characteristics of textiles 2. Purpose of stereology 3. Structural elements and their mathematical models 4. Basic set operations and concepts 5. Selected characteristics of convex circuits Contents of convex circuit sets; The boundary of the convex circuit set; Linear characteristic of the convex circuit; Quantities locally characterizing the convex circuit boundary; Euler - Poincaré characteristics; 6. Slices, stereological relations and estimates of random variables; Thin cross-sections and cuts; Basic stereological sessions; Estimates of random variables; Variance of estimates; Ratio estimates 7. Grids and test systems 8. Selected methods for detecting structure parameters of two-dimensional objects Point method for determining the size of the content; Buffon's role and its implications; determining the length of the curve in 2d; Determining the number of isolated parts of an object in 2d; Description of anisotropy of planar fibrous systems 9. Selected characteristics of structure of three-dimensional objects Detecting volumes of three-dimensional objects using a point method; Detecting the three-dimensional object boundaries; Determining the length of the curve in three-dimensional space; Determination of mean value of curvature and torsion linear structural elements in 3d; Disectors; Fractionator 10. Fractals 11. Number of fibre-to-fibre contacts and a free fibre length in a two-dimensional fibre systems 12. Number of contacts between fibres and free fibre length in a three-dimensional fibre system
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Learning activities and teaching methods
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Self-study (text study, reading, problematic tasks, practical tasks, experiments, research, written assignments), Independent creative and artistic activities, Individual consultation, Seminár
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Learning outcomes
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Stereology is a science about geometrical relationships between a structure that exists in three dimensions and images of that structure, which are usually two-dimensional. These images can be captured in various ways and can be divided into two basic categories: Object cross-section images and object projection. At present, the experimental technique of micro-CT, which can capture three-dimensional structural elements, is intensively developed. Stereology is most intensively used in conjunction with microscopy analysis. These are mainly light microscopes (conventional and confocal), electron microscopes and other types of microscopes. Basic streological methods are also suitable for the study of macroscopic structures. For example, a study of the distribution of stars in the visible universe led to the formulation of one of the stereological rules. Most of the examples discussed in this doctoral study course are in the field of microscopy, as used in the material sciences, as well as in the biology and medical sciences. Stereology has been developed as a mathematical tool for quantitative analysis and description of the internal structure of three-dimensional objects, such as fibre and nanofibrous materials. Estimating volumes, lengths, areas, etc., quantitatively evaluate parameters of geometric shapes.
The student will acquire detailed knowledge of the subject in the area according to the approval of the Branch Board
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Prerequisites
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Unspecified
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Assessment methods and criteria
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Oral exam
oral examination before a committee appointed by the Dean. Written work in the recommended range of 20 pages.
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Recommended literature
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HEARLE, J.W.S., GROSBERG, P., BACKER, S. Structural Mechanics of Fibers, Yarns, And Fabrics. New York: John Wiley & Sons,, 1969. ISBN 0471366692.
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Hyde, N. Wool-Fabric of History. National Geographycs, Vol.173, May, 1988.
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John C. Russ, Robert T. DeHoff. Practical stereology, Springer, 2000, ISBN 0306464764, 9780306464768.
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Lukáš, D. Stereologie textilních materiálů, Skriptum TU Liberec,. Liberec, 1999.
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Masounave, J., Rollin, A.L, Denis, R. Prediction of Permeability of Nonwoven Geotextiles from Morphometri Analysis. Jorunal of Microscopy, Vol. 121, No.1, 1981.
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Pan, N. Modified Analysis of the Microstructural Characteristics of General Fiber Assemblies. Textile research journal, 63, p.336, 1993.
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