Computational point pattern analysis of complex  fibrous materials:
Collinearity and global anisotropy.

Papia, Efthymia-Maria; Παπία, Ευθυμία-Μαρία

dc.contributor.author	Papia, Efthymia-Maria	en
dc.contributor.author	Παπία, Ευθυμία-Μαρία	el
dc.date.accessioned	2022-09-22T08:58:49Z
dc.date.available	2022-09-22T08:58:49Z
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/55718
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.23416
dc.description	Εθνικό Μετσόβιο Πολυτεχνείο--Μεταπτυχιακή Εργασία. Διεπιστημονικό-Διατμηματικό Πρόγραμμα Μεταπτυχιακών Σπουδών (Δ.Π.Μ.Σ.) “Μαθηματική Προτυποποίηση σε Σύγχρονες Τεχνολογίες και στα Χρηματοοικονομικά”	el
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ελλάδα	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/gr/	*
dc.subject	Mathematical modelling	en
dc.subject	Simulations	en
dc.subject	Material science	en
dc.subject	Image analysis	en
dc.subject	Νανοτεχνολογία	el
dc.subject	Ανάλυση εικόνων	el
dc.subject	Μαθηματική προτυποποίηση	el
dc.subject	Προσομοιώσεις	el
dc.subject	Επιστήμη υλικών	el
dc.subject	Nanotechnology	en
dc.title	Computational point pattern analysis of complex fibrous materials: Collinearity and global anisotropy.	en
heal.type	masterThesis
heal.secondaryTitle	Υπολογιστική ανάλυση σημειακών προτύπων πολύπλοκων ινωδών υλικών: Συγγραμμικότητα και ανισοτροπία.	el
heal.classification	Mathematical modelling	en
heal.classification	Nanotechnology	en
heal.language	en
heal.access	campus
heal.recordProvider	ntua	el
heal.publicationDate	2022-02-18
heal.abstract	Many widely used materials, which have been researched for use in various scientific and industrial applications consist of fibrous structures. This thesis takes interest in the mathematical modelling of such structures, which, although a researched topic, still contains many open questions concerning their randomness and how it affects the material's applications. These complex structures can ultimately be simulated as random intersecting lines, dissected in order to be characterized into two patterns of interest, the one being formed by their intersections and the other by the network's pores. The metrics applied in spatial pattern characterization are called Point Pattern Analysis (PPA) methods. The purpose of this thesis is to contribute to how point patterns can be used to understand the randomness of fibrous networks. It includes the process of modelling and characterization of such patterns extracted by fibrous networks, using both mathematical and mainly computational methods to analyze the characteristics of the point pattern of the intersections created by the fibers (ppi), and the point pattern of the pore centroids (ppp). It also proposes a method to analyze and characterize the local anisotropy of the ppi, and in extent to that of the ppp, based on the collinearity these points exhibit (LCL method). For a systematic investigation and validation of the methodology, the fibrous networks are modelled as straight lines of infinite length, created and confined in a box using three methods. The point patterns of intersections and pores are extracted using both algebraic and image analysis methods. From the analysis of the results the key observations include that the ppi displays a clustering effect not dependent on the number of lines, while the ppp appears to have a tendency to order, up to a certain degree as the number of lines increases. Both the ppi and the ppp exhibit directionality, as analyzed by nearest neighbor methods. These results are confirmed and extended by the LCL methodology we propose, as there appears to be a striking consistency in the results independent of the number of lines for all such pp, with high collinearity in the ppi, and quite lower for the ppp, though considerably increased compared to random pp.	en
heal.advisorName	Constantoudis, Vassilios	en
heal.committeeMemberName	Diakonos, Fotis	en
heal.committeeMemberName	Provata, Astero	en
heal.committeeMemberName	Constantoudis, Vassilios	en
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Εφαρμοσμένων Μαθηματικών και Φυσικών Επιστημών	el
heal.academicPublisherID	ntua
heal.numberOfPages	73 σ.	el
heal.fullTextAvailability	false